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\u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03b5\u03c4\u03b1\u03b9 \u03c3\u03ae\u03bc\u03b5\u03c1\u03b1 \u03c3\u03c5\u03c7\u03bd\u03ac \u03c9\u03c2 \u00ab\u039c\u03bf\u03bd\u03cc\u03c7\u03bf\u03c1\u03b4\u03bf \u03c4\u03bf\u03c5 \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b1\u00bb. \u039c\u03b5 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03cc\u03c1\u03b3\u03b1\u03bd\u03bf \u03ad\u03b3\u03b9\u03bd\u03b1\u03bd \u03bc\u03b5\u03c1\u03b9\u03ba\u03ad\u03c2 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c4\u03bf\u03c5 \u03ae\u03c7\u03bf\u03c5.<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u039c\u03af\u03b1 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ad\u03c2 \u03ae\u03c4\u03b1\u03bd \u03cc\u03c4\u03b9 \u03c0\u03b1\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7 \u03c7\u03bf\u03c1\u03b4\u03ae \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03bf\u03c0\u03bf\u03b9\u03b7\u03bc\u03ad\u03bd\u03b7 \u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03ba\u03b1\u03b2\u03b1\u03bb\u03ac\u03c1\u03b7 \u03c3\u03c4\u03b7 \u03bc\u03ad\u03c3\u03b7, \u03bf \u03ae\u03c7\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03c4\u03b1\u03b9 \u03b7\u03c7\u03b5\u03af \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03bf\u03bd \u03ae\u03c7\u03bf \u03c0\u03bf\u03c5 \u03b2\u03b3\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b1\u03bd \u03c0\u03b1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03c7\u03bf\u03c1\u03b4\u03ae \u03c7\u03c9\u03c1\u03af\u03c2 \u03c4\u03bf\u03bd \u03ba\u03b1\u03b2\u03b1\u03bb\u03ac\u03c1\u03b7 (\u03b1\u03bd\u03bf\u03b9\u03c7\u03c4\u03ae \u03c7\u03bf\u03c1\u03b4\u03ae). \u039b\u03ad\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b7 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b4\u03cd\u03bf \u03b1\u03c5\u03c4\u03ce\u03bd \u03bd\u03bf\u03c4\u03ce\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03b7\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2. \u0397 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1 \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03ad\u03c7\u03b5\u03b9 \u03b7 \u03bd\u03cc\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03ac\u03b3\u03b5\u03b9 \u03bc\u03af\u03b1 \u03c7\u03bf\u03c1\u03b4\u03ae \u03bc\u03b5 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03b7 \u03bd\u03cc\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b5\u03c6\u03cc\u03c3\u03bf\u03bd \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03b4\u03b9\u03b1\u03b9\u03c1\u03ad\u03c3\u03b5\u03b9 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf 2, \u03ba\u03b1\u03b9 \u03ad\u03c4\u03c3\u03b9 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03c4\u03bf\u03bd \u03bb\u03cc\u03b3\u03bf \u201c\u03b4\u03cd\u03bf \u03c0\u03c1\u03bf\u03c2 \u03ad\u03bd\u03b1\u201d, \u03ae 2:1. <\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03c5\u03c4\u03ae\u03bd \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b7\u03ba\u03ce\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf \u039c\u03bf\u03bd\u03cc\u03c7\u03bf\u03c1\u03b4\u03bf \u03c4\u03b7\u03c2 \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03c5\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c0\u03bb\u03b1\u03c4\u03c6\u03cc\u03c1\u03bc\u03b1\u03c2 <a href=\"https:\/\/workbench.imuscica.eu\/\">iMuSciCA<\/a>, \u03c3\u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd  \u00ab\u03a4\u03c1\u03b9\u03c3\u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c4\u03bf\u03c2 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03b5\u03b9\u03ba\u03bf\u03bd\u03b9\u03ba\u03bf\u03cd \u03bf\u03c1\u03b3\u03ac\u03bd\u03bf\u03c5\u00bb. \u0393\u03b9\u03b1 \u03bc\u03af\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03b4\u03cd\u03bf \u03c7\u03bf\u03c1\u03b4\u03ad\u03c2 \u03bc\u03b5 \u03bc\u03ae\u03ba\u03bf\u03c2 100cm, \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf\u03bd \u03ba\u03b1\u03b2\u03b1\u03bb\u03ac\u03c1\u03b7 \u03c3\u03c4\u03b7 \u03b8\u03ad\u03c3\u03b7 100\/2=50cm. \u03a0\u03b1\u03c4\u03ce\u03bd\u03c4\u03b1\u03c2 \u03bc\u03b5 \u03c4\u03bf \u03c0\u03bf\u03bd\u03c4\u03af\u03ba\u03b9 \u03bc\u03b1\u03c2 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03b9\u03c2 \u03c7\u03bf\u03c1\u03b4\u03ad\u03c2 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03bd \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf \u03ae\u03c7\u03bf.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/i0.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-18-05-59.png?ssl=1\"><img loading=\"lazy\" width=\"1024\" height=\"479\" src=\"https:\/\/i0.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-18-05-59.png?resize=1024%2C479&#038;ssl=1\" alt=\"\" class=\"wp-image-1330\" srcset=\"https:\/\/i0.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-18-05-59.png?resize=1024%2C479&amp;ssl=1 1024w, https:\/\/i0.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-18-05-59.png?resize=300%2C140&amp;ssl=1 300w, https:\/\/i0.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-18-05-59.png?resize=768%2C360&amp;ssl=1 768w, https:\/\/i0.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-18-05-59.png?resize=1536%2C719&amp;ssl=1 1536w, https:\/\/i0.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-18-05-59.png?w=1835&amp;ssl=1 1835w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n\n\n\n<p class=\"has-small-font-size\">\u039f\u03c0\u03bf\u03b9\u03b1\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03bc\u03b5\u03bb\u03c9\u03b4\u03af\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03b1\u03b9\u03c7\u03c4\u03b5\u03af \u03c3\u03b5 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b5\u03c2 (\u03c0.\u03c7. \u03c0\u03b1\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03cc\u03bb\u03b5\u03c2 \u03c4\u03b9\u03c2 \u03bd\u03cc\u03c4\u03b5\u03c2 \u03bc\u03af\u03b1 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1 \u03c0\u03b9\u03bf \u03c8\u03b7\u03bb\u03ac) \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03b1\u03bb\u03bb\u03ac\u03b6\u03b5\u03b9 \u03bf\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ac \u03b7 \u03b1\u03af\u03c3\u03b8\u03b7\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af\u03c4\u03b1\u03b9. <\/p>\n\n\n<div class=\"su-spoiler su-spoiler-style-modern-light su-spoiler-icon-plus su-spoiler-closed\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span class=\"su-spoiler-icon\"><\/span>\u03a3\u03b7\u03bc\u03b5\u03af\u03c9\u03c3\u03b7<\/div><div class=\"su-spoiler-content su-u-clearfix su-u-trim\">\n\u039a\u03b1\u03c4&#8217; \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1, \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 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\u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c0\u03b1\u03af\u03be\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03bc\u03b5\u03bb\u03c9\u03b4\u03af\u03b1 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1 \u03c3\u03b5 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b5\u03c2 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2 \u03ad\u03bd\u03b1 \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03cc \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1. \u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b1\u03ba\u03bf\u03cd\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ba\u03ac\u03c0\u03bf\u03b9\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1. \u0391\u03ba\u03bf\u03cd\u03bc\u03b5 \u03c0\u03c1\u03ce\u03c4\u03b1 \u03bc\u03b9\u03b1 \u03bc\u03b5\u03bb\u03c9\u03b4\u03af\u03b1 \u03c3\u03c4\u03bf \u03c0\u03b9\u03ac\u03bd\u03bf:<\/p>\n\n\n\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/06\/Just-melody-twinkle-twinkle-little-star.mp3\"><\/audio><\/figure>\n\n\n\n<p class=\"has-small-font-size\">\u03a4\u03ce\u03c1\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b1\u03ba\u03bf\u03cd\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03bc\u03b5\u03bb\u03c9\u03b4\u03af\u03b1 \u03c0\u03b1\u03b9\u03b3\u03bc\u03ad\u03bd\u03b7 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1 \u03c3\u03b5 \u03b4\u03cd\u03bf \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03c0\u03b9\u03b2\u03b5\u03b2\u03b1\u03b9\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b7\u03c7\u03b5\u03af \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ac:<\/p>\n\n\n\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/06\/Octaves-twinkle-twinkle-little-star.mp3\"><\/audio><\/figure>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03b1, \u03b1\u03bd \u03b4\u03b9\u03b1\u03bb\u03ad\u03be\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1 \u03bf\u03c0\u03bf\u03b9\u03bf\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03ac\u03bb\u03bb\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1, \u03bf\u03b9 \u03b4\u03cd\u03bf \u03bc\u03b5\u03bb\u03c9\u03b4\u03af\u03b5\u03c2 \u03c0\u03b1\u03b9\u03b3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1 \u03b1\u03ba\u03bf\u03cd\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bb\u03b9\u03b3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ac. \u039f\u03c1\u03af\u03c3\u03c4\u03b5 \u03c4\u03bf \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7\u03c2 7\u03b7\u03c2 (\u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 11 \u03b7\u03bc\u03b9\u03c4\u03bf\u03bd\u03af\u03c9\u03bd, \u03b1\u03bd\u03c4\u03af\u03b8\u03b5\u03c4\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1 \u03c0\u03bf\u03c5 \u03b4\u03b9\u03b1\u03b9\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03c3\u03b5 12 \u03b7\u03bc\u03b9\u03c4\u03cc\u03bd\u03b9\u03b1):<\/p>\n\n\n\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/06\/7ths-twinkle-twinkle-little-star.mp3\"><\/audio><\/figure>\n\n\n\n<p class=\"has-small-font-size\">\u0395\u03c6\u03cc\u03c3\u03bf\u03bd \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03bc\u03af\u03b1\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03b5 \u03bb\u03cc\u03b3\u03bf 2:1, \u03ae \u03b1\u03c0\u03bb\u03ce\u03c2 2, \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b4\u03cd\u03bf \u03bf\u03ba\u03c4\u03ac\u03b2\u03c9\u03bd \u03b8\u03b1 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03b5 \u03bb\u03cc\u03b3\u03bf 2\u00b72=2<sup>2<\/sup>=4. \u03a4\u03c9\u03bd \u03c4\u03c1\u03b9\u03ce\u03bd \u03bf\u03ba\u03c4\u03ac\u03b2\u03c9\u03bd \u03c3\u03b5 \u03bb\u03cc\u03b3\u03bf 2\u00b72\u00b72=2<sup>3<\/sup>=8, \u03ba\u03b1\u03b9 \u03c0\u03ac\u03b5\u03b9 \u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2.&nbsp;<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0386\u03c1\u03b1 \u03cc\u03c4\u03b1\u03bd \u03bc\u03b9\u03bb\u03ac\u03bc\u03b5 \u03b3\u03b9\u03b1 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b5\u03c2 \u03c0\u03ac\u03bd\u03c4\u03b1 \u03b1\u03bd\u03b1\u03c6\u03b5\u03c1\u03cc\u03bc\u03b1\u03c3\u03c4\u03b5 \u03c3\u03b5 \u03bb\u03cc\u03b3\u03bf 2<sup>n<\/sup> \u03cc\u03c0\u03bf\u03c5 \u03c4\u03bf n \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c0\u03b1\u03af\u03c1\u03bd\u03b5\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c3\u03c4\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf <strong>Z<\/strong>={&#8230;,-2, -1, 0, 1,  2, &#8230;}.<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u039f\u03b9 \u03b1\u03c1\u03c7\u03b1\u03af\u03bf\u03b9 \u03bc\u03b5\u03bb\u03b5\u03c4\u03b7\u03c4\u03ad\u03c2 \u03c0\u03b1\u03c1\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b1\u03bd \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03ae \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03bb\u03cc\u03b3\u03bf\u03b9 \u03bc\u03b9\u03ba\u03c1\u03ce\u03bd \u03b8\u03b5\u03c4\u03b9\u03ba\u03ce\u03bd \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd (\u03c0.\u03c7. 3:2, 4:3 \u03ba.\u03bb\u03c0.) \u03bc\u03ac\u03c2 \u03b4\u03af\u03bd\u03bf\u03c5\u03bd \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ac \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 (\u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b5\u03c5\u03c7\u03ac\u03c1\u03b9\u03c3\u03c4\u03b1 \u03c3\u03c4\u03bf \u03b1\u03c5\u03c4\u03af).<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u039f\u03b9 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf\u03b9 \u03b4\u03c5\u03bd\u03b1\u03c4\u03bf\u03af \u03c6\u03c5\u03c3\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c0\u03bf\u03c5 \u03c3\u03c5\u03b3\u03ba\u03c1\u03bf\u03c4\u03bf\u03cd\u03bd \u03bb\u03cc\u03b3\u03bf \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf 2:1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf 3 \u03ba\u03b1\u03b9 \u03c4\u03bf 2. \u03a0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 3:2. \u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03b7\u03c2 <em>\u03ba\u03b1\u03b8\u03b1\u03c1\u03ae\u03c2 \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7\u03c2<\/em> (\u03c3\u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03b1\u03bd\u03b1\u03c6\u03b5\u03c1\u03b8\u03ae\u03ba\u03b1\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf <a href=\"https:\/\/episteamousiki.athenarc.gr\/index.php\/2023\/02\/23\/mathimatika-kai-mousika-diastimata\/?preview_id=1007&amp;preview_nonce=6573a04e86&amp;preview=true&amp;_thumbnail_id=1135\">\u039c\u03ad\u03c1\u03bf\u03c2 \u0399<\/a> \u03c4\u03b7\u03c2 \u0394\u03c1\u03b1\u03c3\u03c4\u03b7\u03c1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2). \u0397 \u03ba\u03b1\u03b8\u03b1\u03c1\u03ae \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7 \u03ad\u03c7\u03b5\u03b9 \u03bb\u03cc\u03b3\u03bf \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf \u03c4\u03bf\u03c5 2, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c4\u03b7\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2, \u03ba\u03b1\u03b9 \u03b8\u03b5\u03c9\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03b1\u03c5\u03c4\u03cc \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03cc. <\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1, \u03ba\u03b1\u03b9 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c4\u03bf \u03c0\u03b1\u03af\u03be\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03bf \u03b5\u03b9\u03ba\u03bf\u03bd\u03b9\u03ba\u03cc \u03bc\u03b1\u03c2 \u039c\u03bf\u03bd\u03cc\u03c7\u03bf\u03c1\u03b4\u03bf, \u03b1\u03c1\u03ba\u03b5\u03af \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03ba\u03b9\u03bd\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03bd \u03ba\u03b1\u03b2\u03b1\u03bb\u03ac\u03c1\u03b7 \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03ac\u03bb\u03bb\u03b7\u03bb\u03b7 \u03b8\u03ad\u03c3\u03b7. \u03a3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b1 \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03c7\u03c9\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03c7\u03bf\u03c1\u03b4\u03ae \u03bc\u03ae\u03ba\u03bf\u03c5\u03c2 100cm \u03c3\u03c4\u03b1 \u03b4\u03cd\u03bf \u03c4\u03c1\u03af\u03c4\u03b1 \u03c4\u03b7\u03c2.  \u0386\u03c1\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03ba\u03b9\u03bd\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03bd \u03ba\u03b1\u03b2\u03b1\u03bb\u03ac\u03c1\u03b7 \u03c3\u03c4\u03b7 \u03b8\u03ad\u03c3\u03b7 100\u00b7(2\/3)=66,666&#8230; \u03a3\u03c4\u03c1\u03bf\u03b3\u03b3\u03c5\u03bb\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c3\u03c4\u03b1 \u03b4\u03ad\u03ba\u03b1\u03c4\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 66,7cm.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/i2.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-17-52-59.png?ssl=1\"><img loading=\"lazy\" width=\"1024\" height=\"479\" src=\"https:\/\/i2.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-17-52-59.png?resize=1024%2C479&#038;ssl=1\" alt=\"\" class=\"wp-image-1325\" srcset=\"https:\/\/i2.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-17-52-59.png?resize=1024%2C479&amp;ssl=1 1024w, https:\/\/i2.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-17-52-59.png?resize=300%2C140&amp;ssl=1 300w, https:\/\/i2.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-17-52-59.png?resize=768%2C360&amp;ssl=1 768w, https:\/\/i2.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-17-52-59.png?resize=1536%2C719&amp;ssl=1 1536w, https:\/\/i2.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Screenshot-from-2023-07-13-17-52-59.png?w=1835&amp;ssl=1 1835w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" data-recalc-dims=\"1\" \/><\/a><\/figure>\n\n\n\n<p class=\"has-small-font-size\">\u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03bd\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03b7\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7\u03c2 \u03c3\u03c4\u03b1 \u03c0\u03bb\u03ae\u03ba\u03c4\u03c1\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03b9\u03ac\u03bd\u03bf\u03c5. \u039f\u03b9 \u03af\u03b4\u03b9\u03b5\u03c2 \u03bd\u03cc\u03c4\u03b5\u03c2 (\u03b5\u03c0\u03b9\u03c3\u03b7\u03bc\u03b5\u03b9\u03c9\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03b1 \u03c0\u03bb\u03ae\u03ba\u03c4\u03c1\u03b1) \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b1\u03bd\u03ac 12 \u03c0\u03bb\u03ae\u03ba\u03c4\u03c1\u03b1 (\u03ae \u03b7\u03bc\u03b9\u03c4\u03cc\u03bd\u03b9\u03b1), \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03c4\u03c9\u03bd \u03bc\u03b1\u03cd\u03c1\u03c9\u03bd. \u03a0\u03b1\u03af\u03be\u03c4\u03b5 \u03c4\u03b7\u03bd \u039d\u03c4\u03cc (C) \u03c3\u03b5 \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03b5\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03ba\u03bf\u03cd\u03c3\u03c4\u03b5 \u03c4\u03bf\u03bd \u03ae\u03c7\u03bf:<\/p>\n\n\n\n<p><a href=\"https:\/\/www.musicca.com\/piano\">https:\/\/www.musicca.com\/piano<\/a><\/p>\n\n\n\n<p><\/p>\n\n\n<div class=\"su-spoiler su-spoiler-style-modern-light su-spoiler-icon-plus su-spoiler-closed\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span class=\"su-spoiler-icon\"><\/span>\u03a3\u03b7\u03bc\u03b5\u03af\u03c9\u03c3\u03b7<\/div><div class=\"su-spoiler-content su-u-clearfix su-u-trim\">\n\u03a3\u03c4\u03bf 1\u03bf \u039c\u03ad\u03c1\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03b4\u03c1\u03b1\u03c3\u03c4\u03b7\u03c1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03b5\u03af\u03b4\u03b1\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03bc\u03b5 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac \u03c3\u03c4\u03b7\u03bd \u039d\u03c4\u03bf, \u03b7 \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7 \u03ba\u03b1\u03b8\u03b1\u03c1\u03ae \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03a3\u03bf\u03bb (G).<br \/>\n<\/div><\/div>\n\n\n\n\n\n<p class=\"has-small-font-size\">\u039a\u03ac\u03c0\u03bf\u03b9\u03bf\u03b9 \u03b8\u03b1 \u03ad\u03c7\u03b5\u03c4\u03b5 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c0\u03b9\u03ac\u03bd\u03bf \u03bc\u03b5 \u03bf\u03c5\u03c1\u03ac \u03ad\u03c7\u03b5\u03b9 \u03c7\u03bf\u03c1\u03b4\u03ad\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd \u03bc\u03ae\u03ba\u03bf\u03c5\u03c2 \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03bb\u03ae\u03ba\u03c4\u03c1\u03bf. \u03a0\u03b1\u03c4\u03ce\u03bd\u03c4\u03b1\u03c2 \u03ad\u03bd\u03b1 \u03c0\u03bb\u03ae\u03ba\u03c4\u03c1\u03bf \u03c4\u03b1\u03bb\u03b1\u03bd\u03c4\u03ce\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b7 \u03c7\u03bf\u03c1\u03b4\u03ae \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03b8\u03c5\u03bc\u03b7\u03c4\u03ae \u03bd\u03cc\u03c4\u03b1.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"1000\" height=\"400\" src=\"https:\/\/i0.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/08\/mechanism_main.jpg?resize=1000%2C400&#038;ssl=1\" alt=\"\" class=\"wp-image-1395\" srcset=\"https:\/\/i0.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/08\/mechanism_main.jpg?w=1000&amp;ssl=1 1000w, https:\/\/i0.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/08\/mechanism_main.jpg?resize=300%2C120&amp;ssl=1 300w, https:\/\/i0.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/08\/mechanism_main.jpg?resize=768%2C307&amp;ssl=1 768w\" sizes=\"(max-width: 1000px) 100vw, 1000px\" data-recalc-dims=\"1\" \/><\/figure>\n\n\n\n<p class=\"has-small-font-size\">\u039c\u03ad\u03c7\u03c1\u03b9 \u03c3\u03c4\u03b9\u03b3\u03bc\u03ae\u03c2 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b9\u03bb\u03ae\u03c3\u03b5\u03b9 \u03bc\u03cc\u03bd\u03bf \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b7\u03ba\u03ce\u03bd \u03c7\u03bf\u03c1\u03b4\u03ae\u03c2 \u03c0\u03bf\u03c5 \u03ba\u03b1\u03b8\u03bf\u03c1\u03af\u03b6\u03bf\u03c5\u03bd \u03b4\u03cd\u03bf \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1: \u03c4\u03b7\u03bd \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7. \u0388\u03c4\u03c3\u03b9, \u03b8\u03b5\u03c9\u03c1\u03ce\u03bd\u03c4\u03b1\u03c2 \u03cc\u03c4\u03b9 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03c4\u03ac\u03c3\u03b7 \u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03c7\u03bf\u03c1\u03b4\u03ae \u03c4\u03bf\u03c5 \u03c0\u03b9\u03ac\u03bd\u03bf\u03c5 (\u03cc\u03c0\u03c9\u03c2 \u03ba\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03bf \u03bc\u03bf\u03bd\u03cc\u03c7\u03bf\u03c1\u03b4\u03bf \u03c4\u03bf\u03c5 iMuSciCA) \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c9\u03c2 \u03bd\u03cc\u03c4\u03b1 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2, \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03c4\u03b7\u03bd \u039d\u03c4\u03bf, \u03bc\u03b5 \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c7\u03bf\u03c1\u03b4\u03ae\u03c2 \u03a7, \u03be\u03ad\u03c1\u03bf\u03c5\u03bc\u03b5 \u03bc\u03cc\u03bd\u03bf \u03cc\u03c4\u03b9 \u03b7 \u039d\u03c4\u03bf \u03c4\u03b7\u03c2 \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03b7\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2 \u03b8\u03b1 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03b5 \u03c7\u03bf\u03c1\u03b4\u03ae \u03bc\u03ae\u03ba\u03bf\u03c5\u03c2 \u03a5=(1\/2)\u00b7\u03a7 \u03ba\u03b1\u03b9 \u03b7 \u03a3\u03bf\u03bb \u03c3\u03b5 \u03c7\u03bf\u03c1\u03b4\u03ae \u03bc\u03ae\u03ba\u03bf\u03c5\u03c2 \u03a5=(2\/3)\u00b7\u03a7. \u0394\u03b5\u03bd \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b9\u03bb\u03ae\u03c3\u03b5\u03b9 \u03cc\u03bc\u03c9\u03c2 \u03b3\u03b9\u03b1 \u03cc\u03bb\u03b5\u03c2 \u03c4\u03b9\u03c2 \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03b5\u03c2 \u03bd\u03cc\u03c4\u03b5\u03c2. \u03a0\u03ce\u03c2 \u03b8\u03b1 \u03ba\u03b1\u03b8\u03bf\u03c1\u03af\u03c3\u03b5\u03b9 \u03bf \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03b1\u03c3\u03c4\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03bf\u03c1\u03b3\u03ac\u03bd\u03bf\u03c5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03bd\u03cc\u03c4\u03b1;<\/p>\n\n\n\n<h3>\u03a0\u03ad\u03c1\u03b1 \u03b1\u03c0\u03cc \u03c4\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1 \u03c4\u03b7\u03c2 \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7\u03c2<\/h3>\n\n\n\n<p class=\"has-small-font-size\">\u03a3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03b1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1, \u03b8\u03b5\u03c9\u03c1\u03ae\u03b8\u03b7\u03ba\u03b5 \u03b1\u03c0\u03cc \u03bc\u03b5\u03bb\u03b5\u03c4\u03b7\u03c4\u03ad\u03c2 \u03cc\u03c4\u03b9 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03ac\u03c1\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b1\u03bd \u03b2\u03ac\u03c3\u03b7 \u03bc\u03b1\u03c2 \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03b7\u03c2 <em>\u03c0\u03ad\u03bc\u03c0\u03c4\u03b7\u03c2. <\/em>\u0391\u03bb\u03bb\u03ac \u03c7\u03c1\u03b5\u03b9\u03b1\u03b6\u03cc\u03c4\u03b1\u03bd \u03bd\u03b1 \u03bf\u03c1\u03af\u03c3\u03bf\u03c5\u03bd \u03bc\u03b5 \u03b1\u03c0\u03bb\u03cc \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03c4\u03c1\u03cc\u03c0\u03bf \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03b1 \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1. \u0388\u03c4\u03c3\u03b9, \u03c0\u03c1\u03cc\u03c4\u03ac\u03b8\u03b7\u03ba\u03b5, \u03be\u03b5\u03ba\u03b9\u03bd\u03ce\u03bd\u03c4\u03b1\u03c2 \u03b1\u03c0\u03cc \u03bc\u03b9\u03b1 \u03bf\u03c0\u03bf\u03b9\u03b1\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03bd\u03cc\u03c4\u03b1 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03b1\u03c1\u03c7\u03b9\u03ba\u03ac \u03c4\u03b7\u03bd <em>\u03c0\u03ad\u03bc\u03c0\u03c4\u03b7<\/em>, \u03bc\u03b5\u03c4\u03ac \u03c4\u03b7\u03bd <em>\u03c0\u03ad\u03bc\u03c0\u03c4\u03b7 <\/em>\u03c4\u03b7\u03c2 <em>\u03c0\u03ad\u03bc\u03c0\u03c4\u03b7\u03c2,<\/em> \u03cd\u03c3\u03c4\u03b5\u03c1\u03b1 \u03c4\u03b7\u03bd <em>\u03c0\u03ad\u03bc\u03c0\u03c4\u03b7<\/em> \u03c4\u03b7\u03c2 \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7\u03c2 <em>\u03c0\u03ad\u03bc\u03c0\u03c4\u03b7\u03c2<\/em>, \u03ba\u03b1\u03b9 \u03c0\u03ac\u03b5\u03b9 \u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2, \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03ba\u03ac\u03b8\u03b5 \u03c6\u03bf\u03c1\u03ac \u03bc\u03b5 \u03c4\u03bf \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1 3\/2. \u0391\u03c5\u03c4\u03ae \u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03b1\u03c3\u03c4\u03b1\u03b8\u03b5\u03af \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03bc\u03ad\u03c3\u03c9 \u03c4\u03bf\u03c5 \u03bb\u03b5\u03b3\u03cc\u03bc\u03b5\u03bd\u03bf\u03c5 <strong>\u03ba\u03cd\u03ba\u03bb\u03bf\u03c5 \u03c4\u03c9\u03bd \u03c0\u03ad\u03bc\u03c0\u03c4\u03c9\u03bd<\/strong>:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" width=\"380\" height=\"320\" src=\"https:\/\/i2.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Circle-of-5ths-img.png?resize=380%2C320&#038;ssl=1\" alt=\"\" class=\"wp-image-1307\" srcset=\"https:\/\/i2.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Circle-of-5ths-img.png?w=380&amp;ssl=1 380w, https:\/\/i2.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/Circle-of-5ths-img.png?resize=300%2C253&amp;ssl=1 300w\" sizes=\"(max-width: 380px) 100vw, 380px\" data-recalc-dims=\"1\" \/><figcaption>[\u039f \u03ba\u03cd\u03ba\u03bb\u03bf\u03c2 \u03c4\u03c9\u03bd \u03c0\u03b5\u03bc\u03c0\u03c4\u03ce\u03bd]<\/figcaption><\/figure>\n\n\n\n<p class=\"has-small-font-size\">\u038c\u03c0\u03c9\u03c2 \u03b2\u03bb\u03ad\u03c0\u03bf\u03c5\u03bc\u03b5, \u03b2\u03ac\u03c3\u03b5\u03b9 \u03c4\u03bf\u03c5 \u03ba\u03cd\u03ba\u03bb\u03bf\u03c5 \u03c4\u03c9\u03bd \u03c0\u03b5\u03bc\u03c0\u03c4\u03ce\u03bd, \u03b5\u03ac\u03bd \u03be\u03b5\u03ba\u03b9\u03bd\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u039d\u03c4\u03bf \u03ba\u03b1\u03b9 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 12 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c3\u03c4\u03b7 \u03c6\u03bf\u03c1\u03ac \u03c4\u03bf\u03c5 \u03c1\u03bf\u03bb\u03bf\u03b3\u03b9\u03bf\u03cd, \u03b1\u03c0\u03cc \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7 \u03c3\u03b5 \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7, \u03b8\u03b1 \u03c6\u03c4\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c0\u03ac\u03bb\u03b9 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u039d\u03c4\u03bf, \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03c1\u03b9\u03ba\u03ad\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b5\u03c2 \u03c8\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03b1 (\u03b8\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c0\u03cc\u03c3\u03b5\u03c2). \u03a3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b1 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03b4\u03c1\u03bf\u03bc\u03ae: \u039d\u03c4\u03bf, \u03a3\u03bf\u03bb, \u03a1\u03b5, \u039b\u03b1, \u039c\u03b9, \u03a3\u03b9, \u03a6\u03b1\u266f\/\u03a3\u03bf\u03bb\u266d, \u039d\u03c4\u03bf\u266f\/\u03a1\u03b5\u266d, \u03a3\u03bf\u03bb\u266f\/\u039b\u03b1\u266d, \u03a1\u03b5\u266f\/\u039c\u03b9\u266d, \u039b\u03b1\u266f\/\u03a3\u03b9\u266d, \u03a6\u03b1, \u039d\u03c4\u03bf. <\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03c5\u03c4\u03ae \u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1, \u03b8\u03b5\u03c9\u03c1\u03b7\u03c4\u03b9\u03ba\u03ac, \u03b9\u03c3\u03bf\u03b4\u03c5\u03bd\u03b1\u03bc\u03b5\u03af \u03bc\u03b5 \u03c4\u03bf \u03bd\u03b1 \u03b5\u03ba\u03ba\u03b9\u03bd\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03bb\u03cc\u03b3\u03bf \u03c4\u03b7\u03c2 <em>\u03c0\u03ad\u03bc\u03c0\u03c4\u03b7\u03c2<\/em> (3\/2) \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c4\u03bf\u03bd \u03c5\u03c8\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b5 \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03b9\u03c2 \u03bc\u03b9\u03ba\u03c1\u03ce\u03bd \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd: \u03b1\u03c0\u03cc \u03c4\u03bf 0 \u03ad\u03c9\u03c2 \u03c4\u03bf 12. <\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0393\u03b9\u03b1 \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bb\u03ae\u03be\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b5 \u03c0\u03b9\u03bf \u03b1\u03c0\u03bb\u03ac \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1\u03c4\u03b1, \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf\u03c5\u03c2 \u03bb\u03cc\u03b3\u03bf\u03c5\u03c2 \u03c3\u03ba\u03b5\u03c0\u03c4\u03cc\u03bc\u03b5\u03bd\u03bf\u03b9 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03c1\u03bf\u03c6\u03b1: \u00ab\u03a0\u03bf\u03b9\u03b1\u03c2 \u03bd\u03cc\u03c4\u03b1\u03c2 \u03b7 <em>\u03c0\u03ad\u03bc\u03c0\u03c4\u03b7<\/em> \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u039d\u03c4\u03bf (\u03ba\u03b1\u03b9 \u03c0\u03ac\u03b5\u03b9 \u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2);\u00bb. \u039c&#8217; \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7 \u03bb\u03bf\u03b3\u03b9\u03ba\u03ae \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b1\u03c3\u03c4\u03b5 \u03b1\u03bd\u03ac\u03c0\u03bf\u03b4\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03c6\u03bf\u03c1\u03ac \u03c4\u03bf\u03c5 \u03c1\u03bf\u03bb\u03bf\u03b3\u03b9\u03bf\u03cd. \u0391\u03c5\u03c4\u03cc \u03b9\u03c3\u03bf\u03b4\u03c5\u03bd\u03b1\u03bc\u03b5\u03af \u03bc\u03b5 \u03c4\u03bf \u03bd\u03b1 \u03c5\u03c8\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1 3\/2 \u03ba\u03b1\u03b9 \u03c3\u03b5 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf\u03c5\u03c2. \u03a4\u03b5\u03bb\u03b9\u03ba\u03ac \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b9\u03bd\u03b7\u03b8\u03bf\u03cd\u03bc\u03b5 \u03bc\u03b9\u03c3\u03cc \u03ba\u03cd\u03ba\u03bb\u03bf \u03b4\u03b5\u03be\u03b9\u03cc\u03c3\u03c4\u03c1\u03bf\u03c6\u03b1 \u03ba\u03b1\u03b9 \u03bc\u03b9\u03c3\u03cc \u03b1\u03c1\u03b9\u03c3\u03c4\u03b5\u03c1\u03cc\u03c3\u03c4\u03c1\u03bf\u03c6\u03b1. \u0386\u03c1\u03b1 \u03c5\u03c8\u03ce\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf 3\/2 \u03c3\u03b5 \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf\u03c5\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf 1 \u03ad\u03c9\u03c2 \u03c4\u03bf 6, \u03ba\u03b1\u03b9 \u03c3\u03b5 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf\u03c5\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf -1 \u03ad\u03c9\u03c2 \u03c4\u03bf -5.  \u0391\u03c5\u03c4\u03cc\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03c4\u03c1\u03cc\u03c0\u03bf\u03c2 \u03bd\u03b1 \u03bf\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 12 \u03bd\u03cc\u03c4\u03b5\u03c2 \u03c4\u03b7\u03c2 \u0394\u03c5\u03c4\u03b9\u03ba\u03ae\u03c2 \u039c\u03bf\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2 \u03bc\u03b5 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03bb\u03ac \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1\u03c4\u03b1. \u0395\u03bd \u03c0\u03c1\u03bf\u03ba\u03b5\u03b9\u03bc\u03ad\u03bd\u03c9, \u03b1\u03c2 \u03b5\u03c3\u03c4\u03b9\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bc\u03cc\u03bd\u03bf \u03c3\u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03b9\u03c2:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\\Big(\\frac{3}{2}\\Big)^{\\!\\!\\!\\!\\phantom{\\frac{1}{2}}-1}\\!\\mkern-3mu = \\!\\frac{2}{3}\\kern0.5em,\\kern0.5em \\Big(\\frac{3}{2}\\Big)^{\\!\\!\\!\\!\\phantom{\\frac{1}{2}}0}\\!\\mkern-3mu = \\!1\\kern0.5em,\\kern0.5em \\Big(\\frac{3}{2}\\Big)^{\\!\\!\\!\\!\\phantom{\\frac{1}{2}}1}\\!\\mkern-3mu = \\!\\frac{3}{2}\\kern0.5em,\\kern0.5em \\Big(\\frac{3}{2}\\Big)^{\\!\\!\\!\\!\\phantom{\\frac{1}{2}}2}\\!\\mkern-3mu = \\!\\frac{9}{4}\\kern0.5em,\\kern0.5em \\Big(\\frac{3}{2}\\Big)^{\\!\\!\\!\\!\\phantom{\\frac{1}{2}}3}\\!\\mkern-3mu = \\!\\frac{27}{8}\\kern0.5em,\\kern0.5em \\Big(\\frac{3}{2}\\Big)^{\\!\\!\\!\\!\\phantom{\\frac{1}{2}}4}\\!\\mkern-3mu = \\!\\frac{81}{16}\\kern0.5em,\\kern0.5em \\Big(\\frac{3}{2}\\Big)^{\\!\\!\\!\\!\\phantom{\\frac{1}{2}}5}\\!\\mkern-3mu = \\!\\frac{243}{32} <\/pre><\/div>\n\n\n\n<p class=\"has-small-font-size\">\u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03ba\u03ac\u03c0\u03bf\u03b9\u03b1 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ac \u03c4\u03b1 \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03bb\u03cc\u03b3\u03bf \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03c4\u03b7\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c4\u03bf\u03c5 2:1. \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03c4\u03bf 9\/4=2,25 \u03ba\u03b1\u03b9 \u03c4\u03bf 27\/8=3,375 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b1 \u03b1\u03c0\u03cc \u03c4\u03bf 2\/1=2. <\/p>\n\n\n\n<p class=\"has-small-font-size\">\u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c4\u03b1 \u03c6\u03ad\u03c1\u03bf\u03c5\u03bc\u03b5 \u03cc\u03bb\u03b1 \u03c3\u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1 \u03b4\u03b9\u03b1\u03b9\u03c1\u03ce\u03bd\u03c4\u03b1\u03c2 \u03ae \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf \u03ba\u03b1\u03b8\u03ad\u03bd\u03b1 \u03bc\u03b5 \u03c4\u03bf 2 \u03cc\u03c3\u03b5\u03c2 \u03c6\u03bf\u03c1\u03ad\u03c2 \u03c7\u03c1\u03b5\u03b9\u03b1\u03c3\u03c4\u03b5\u03af \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c6\u03c4\u03ac\u03c3\u03bf\u03c5\u03bd \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd 1 \u03ba\u03b1\u03b9 2. <\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0397 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03b1\u03c5\u03c4\u03ae \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03c6\u03c5\u03c3\u03b9\u03ba\u03ac \u03bd\u03b1 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03b5\u03af \u03bc\u03b5 \u03c4\u03bf \u03c7\u03ad\u03c1\u03b9, \u03b1\u03bb\u03bb\u03ac \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c5\u03bb\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03b5\u03af \u03ba\u03b1\u03b9 \u03c3\u03b5 \u03bc\u03bf\u03c1\u03c6\u03ae \u03c0\u03c1\u03bf\u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c3\u03c4\u03bf\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ae. \u0395\u03b4\u03ce \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c5\u03c1\u03ad\u03c9\u03c2 \u03b4\u03b9\u03b1\u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b7 \u03b3\u03bb\u03ce\u03c3\u03c3\u03b1 \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03bf\u03cd Python. \u038c\u03c0\u03bf\u03b9\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03cc\u03c0\u03bf\u03b9\u03b1 \u03b5\u03c0\u03b9\u03b8\u03c5\u03bc\u03b5\u03af \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c4\u03c1\u03bf\u03c0\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03b9 \u03c4\u03bf\u03bd \u03ba\u03ce\u03b4\u03b9\u03ba\u03b1 \u03c3\u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c0\u03bf\u03c5 \u03c5\u03c0\u03bf\u03b4\u03b5\u03b9\u03ba\u03bd\u03cd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03bc\u03bf\u03c1\u03c6\u03ae \u03c3\u03c7\u03bf\u03bb\u03af\u03c9\u03bd (\u03bc\u03b5 \u03c4\u03bf \u03c3\u03cd\u03bc\u03b2\u03bf\u03bb\u03bf &#8220;#&#8221;). \u03a3\u03c4\u03b7\u03bd \u03c4\u03b5\u03bb\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5 \u03bc\u03bf\u03c1\u03c6\u03ae, \u03c4\u03bf \u03c0\u03c1\u03cc\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c6\u03ad\u03c1\u03bd\u03b5\u03b9 \u03cc\u03bb\u03bf\u03c5\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03bb\u03cc\u03b3\u03bf\u03c5\u03c2 \u03c3\u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 [1,2]. \u03a0\u03b1\u03c4\u03ae\u03c3\u03c4\u03b5 \u03c3\u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b5\u03b9\u03ba\u03bf\u03bd\u03af\u03b4\u03b9\u03bf \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c6\u03b5\u03c1\u03b8\u03b5\u03af\u03c4\u03b5 \u03c3\u03c4\u03bf \u03ba\u03b1\u03c4\u03ac\u03bb\u03bb\u03b7\u03bb\u03bf \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd:<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><a href=\"https:\/\/mybinder.org\/v2\/gh\/gbastas\/steam-notebook\/db15028a654c86c344b14f9a3ed6fc4133989609?urlpath=lab%2Ftree%2Fbring_notes_within_octave.ipynb\"><img loading=\"lazy\" src=\"https:\/\/mybinder.org\/badge_logo.svg\" alt=\"Binder\" width=\"109\" height=\"20\"\/><\/a><\/figure>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03c6\u03bf\u03cd \u03c4\u03bf \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c5\u03c4\u03cc \u03b3\u03b9\u03b1 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9, \u03b1\u03c0\u03bf\u03ba\u03c4\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03bb\u03cc\u03b3\u03bf\u03c5\u03c2:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre> \\frac{4}{3}\\kern0.5em,\\kern0.5em 1\\kern0.5em,\\kern0.5em \\frac{3}{2}\\kern0.5em,\\kern0.5em \\frac{9}{8}\\kern0.5em,\\kern0.5em \\frac{27}{16}\\kern0.5em,\\kern0.5em \\frac{81}{64}\\kern0.5em,\\kern0.5em \\frac{243}{128} <\/pre><\/div>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03c2 \u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c5\u03c4\u03ac \u03c4\u03b1 \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c3\u03b5 \u03b1\u03cd\u03be\u03bf\u03c5\u03c3\u03b1 \u03c3\u03b5\u03b9\u03c1\u03ac, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03be\u03b5\u03ba\u03b9\u03bd\u03ce\u03bd\u03c4\u03b1\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf \u03bb\u03cc\u03b3\u03bf \u03ba\u03b1\u03b9 \u03c6\u03c4\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c3\u03c4\u03bf\u03bd \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf. \u03a4\u03ce\u03c1\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c5\u03c4\u03ae\u03bd \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03bb\u03cc\u03b3\u03c9\u03bd:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>1\\kern0.5em,\\kern0.5em \\frac{9}{8}\\kern0.5em,\\kern0.5em \\frac{81}{64}\\kern0.5em,\\kern0.5em \\frac{4}{3}\\kern0.5em,\\kern0.5em \\frac{3}{2}\\kern0.5em,\\kern0.5em \\frac{27}{16}\\kern0.5em,\\kern0.5em \\frac{243}{128}<\/pre><\/div>\n\n\n<div class=\"su-spoiler su-spoiler-style-modern-light su-spoiler-icon-plus su-spoiler-closed\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span class=\"su-spoiler-icon\"><\/span>\u03a3\u03b7\u03bc\u03b5\u03af\u03c9\u03c3\u03b7<\/div><div class=\"su-spoiler-content su-u-clearfix su-u-trim\">\n\u039f\u03b9 \u03bb\u03cc\u03b3\u03bf\u03b9 \u03b1\u03c5\u03c4\u03bf\u03af \u03b4\u03b5\u03bd \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03bc\u03cc\u03bd\u03bf \u03c3\u03c4\u03b1 \u03bc\u03ae\u03ba\u03b7 \u03c4\u03c9\u03bd \u03c7\u03bf\u03c1\u03b4\u03ce\u03bd \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03bd \u03ba\u03ac\u03b8\u03b5 \u03bd\u03cc\u03c4\u03b1, \u03b1\u03bb\u03bb\u03ac \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03bb\u03cc\u03b3\u03bf\u03c5\u03c2 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03b7\u03c2 \u03ba\u03ac\u03b8\u03b5 \u03bd\u03cc\u03c4\u03b1\u03c2 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03bd\u03cc\u03c4\u03b1 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2 (\u03cc\u03c0\u03c9\u03c2 \u03b5\u03af\u03b4\u03b1\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf \u039c\u03ad\u03c1\u03bf\u03c2 \u0399 \u03c4\u03b7\u03c2 \u0394\u03c1\u03b1\u03c3\u03c4\u03b7\u03c1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2).<br \/>\n<\/div><\/div>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03c5\u03c4\u03ae \u03b7 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 <em>\u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1<\/em> \u03c0\u03bf\u03c5 \u03c4\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1 \u03c3\u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03b2\u03b1\u03c3\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03bf\u03ba\u03b1\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u00ab\u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf\u03c2 \u03c3\u03c5\u03b3\u03ba\u03b5\u03c1\u03b1\u03c3\u03bc\u03cc\u03c2\u00bb \u03ae \u00ab\u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1\u00bb. <\/p>\n\n\n<div class=\"su-spoiler su-spoiler-style-modern-light su-spoiler-icon-plus su-spoiler-closed\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span class=\"su-spoiler-icon\"><\/span>\u0399\u03c3\u03c4\u03bf\u03c1\u03b9\u03ba\u03ae \u03a3\u03b7\u03bc\u03b5\u03af\u03c9\u03c3\u03b7<\/div><div class=\"su-spoiler-content su-u-clearfix su-u-trim\">\n\u039f \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b1\u03c1\u03c7\u03b1\u03af\u03bf\u03b9 \u0388\u03bb\u03bb\u03b7\u03bd\u03b5\u03c2 \u03b3\u03b5\u03bd\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b1, \u03b4\u03b5\u03bd \u03ae\u03c4\u03b1\u03bd \u03bf\u03cd\u03c4\u03b5 \u03bf\u03b9 \u03c0\u03c1\u03ce\u03c4\u03bf\u03b9 \u03b5\u03c6\u03b5\u03c5\u03c1\u03ad\u03c4\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03bf\u03bd\u03cc\u03c7\u03bf\u03c1\u03b4\u03bf\u03c5, \u03ba\u03b1\u03b9 \u03ba\u03c5\u03c1\u03af\u03c9\u03c2, \u03b4\u03b5\u03bd \u03ae\u03c4\u03b1\u03bd \u03bf\u03b9 \u03c0\u03c1\u03ce\u03c4\u03bf\u03b9 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03cc\u03c4\u03b5\u03b9\u03bd\u03b1\u03bd \u03c4\u03bf \u03bb\u03b5\u03b3\u03cc\u03bc\u03b5\u03bd\u03bf \u03c3\u03ae\u03bc\u03b5\u03c1\u03b1 \u00ab\u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1\u00bb. \u03a4\u03bf \u03b5\u03bd \u03bb\u03cc\u03b3\u03c9 \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1 \u03b5\u03af\u03c7\u03b5 \u03c3\u03c5\u03bb\u03bb\u03b7\u03c6\u03b8\u03b5\u03af \u03bd\u03c9\u03c1\u03af\u03c4\u03b5\u03c1\u03b1 \u03c3\u03c4\u03b7 \u039c\u03b5\u03c3\u03bf\u03c0\u03bf\u03c4\u03b1\u03bc\u03af\u03b1 \u03ba\u03b1\u03b9 \u03b1\u03c0\u03cc \u03b5\u03ba\u03b5\u03af, \u03bc\u03b1\u03b6\u03af \u03bc\u03b5 \u03c0\u03bf\u03bb\u03bb\u03ac \u03ac\u03bb\u03bb\u03b1 \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ac \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 \u03c4\u03b7\u03c2 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ae\u03c2, \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03b8\u03b7\u03ba\u03b5 \u03c3\u03b5 \u03ac\u03bb\u03bb\u03bf\u03c5\u03c2 \u03c0\u03bf\u03bb\u03b9\u03c4\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2, \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b1\u03c5\u03c4\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf\u03bd \u03b5\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03cc.<br \/>\n<\/div><\/div>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03bd \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b5\u03c0\u03b9\u03bb\u03ad\u03be\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b1\u03bd \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03bd\u03cc\u03c4\u03b1 \u03c4\u03b7\u03bd \u039d\u03c4\u03bf, \u03c4\u03cc\u03c4\u03b5 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03c4\u03c1\u03cc\u03c0\u03bf \u03bf\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1 \u03b7 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1:<\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u039d\u03c4\u03bf-\u03a1\u03b5-\u039c\u03b9-\u03a6\u03b1-\u03a3\u03bf\u03bb-\u039b\u03b1-\u03a3\u03b9  <\/pre><\/div>\n\n\n\n<p class=\"has-small-font-size\">(\u03a3\u03c4\u03b7\u03bd \u03b1\u03b3\u03b3\u03bb\u03bf\u03c3\u03b1\u03be\u03bf\u03bd\u03b9\u03ba\u03ae \u03c3\u03b7\u03bc\u03b5\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03af\u03b1: C &#8211; D &#8211; E &#8211; F &#8211; G &#8211; A &#8211; B)<\/p>\n\n\n<div class=\"su-spoiler su-spoiler-style-modern-light su-spoiler-icon-plus su-spoiler-closed\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span class=\"su-spoiler-icon\"><\/span>\u0386\u03c3\u03ba\u03b7\u03c3\u03b7<\/div><div class=\"su-spoiler-content su-u-clearfix su-u-trim\">\n\u03a0\u03b1\u03c1\u03b1\u03b8\u03ad\u03c3\u03c4\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03bb\u03cc\u03b3\u03bf\u03c5\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03c3\u03c4\u03b9\u03c2 \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03b5\u03c2 \u03bd\u03cc\u03c4\u03b5\u03c2: \u039b\u03b1#, \u03a1\u03b5#, \u03a3\u03bf\u03bb#, \u039d\u03c4\u03bf#, \u03a6\u03b1# \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c3\u03c4\u03bf\u03bd \u03ba\u03cd\u03ba\u03bb\u03bf \u03c4\u03c9\u03bd \u03c0\u03b5\u03bc\u03c0\u03c4\u03ce\u03bd.<br \/>\n<\/div><\/div>\n\n\n\n<p class=\"has-small-font-size\">\u03a3\u03b5 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03c4\u03b9\u03c2 \u03bd\u03cc\u03c4\u03b5\u03c2 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03c4\u03b1 \u03bb\u03b5\u03c5\u03ba\u03ac \u03c0\u03bb\u03ae\u03ba\u03c4\u03c1\u03b1 \u03c4\u03bf\u03c5 \u03c0\u03b9\u03ac\u03bd\u03bf\u03c5.<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u03a3\u03c4\u03bf \u03b5\u03b9\u03ba\u03bf\u03bd\u03b9\u03ba\u03cc \u03c0\u03b9\u03ac\u03bd\u03bf \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c0\u03b1\u03af\u03be\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03b1 \u03bb\u03b5\u03c5\u03ba\u03ac \u03c0\u03bb\u03ae\u03ba\u03c4\u03c1\u03b1 \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae \u03b1\u03c0\u03cc \u03c4\u03bf \u00ab\u03a6\u03b5\u03b3\u03b3\u03b1\u03c1\u03ac\u03ba\u03b9 \u03bc\u03bf\u03c5 \u039b\u03b1\u03bc\u03c0\u03c1\u03cc\u00bb \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b9\u03c2 \u03bd\u03cc\u03c4\u03b5\u03c2: C C G G A A G. \u0391\u03bd \u03b1\u03bd\u03c4\u03af \u03bd\u03b1 \u03be\u03b5\u03ba\u03b9\u03bd\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u039d\u03c4\u03bf (C), \u03be\u03b5\u03ba\u03b9\u03bd\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c0\u03cc \u03c4\u03b7 \u039c\u03b9 (\u0395) \u03b8\u03b1 \u03c7\u03c1\u03b5\u03b9\u03b1\u03c3\u03c4\u03b5\u03af \u03bd\u03b1 \u03c0\u03b1\u03af\u03be\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03ba\u03ac\u03c0\u03bf\u03b9\u03b1 \u03bc\u03b1\u03cd\u03c1\u03b1 \u03c0\u03bb\u03ae\u03ba\u03c4\u03c1\u03b1: \u0395 \u0395 B \u0392 C# C# B. <\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03c5\u03c4\u03ae \u03c4\u03b7 \u03bc\u03b5\u03c4\u03b1\u03c4\u03cc\u03c0\u03b9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf\u03c5 \u03b5\u03ba\u03ba\u03af\u03bd\u03b7\u03c3\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03bc\u03b5\u03bb\u03c9\u03b4\u03af\u03b1\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc \u03b3\u03b9\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03bf\u03cd\u03c2 \u03bd\u03b1 \u03c4\u03b7\u03bd \u03ba\u03ac\u03bd\u03bf\u03c5\u03bd \u03bc\u03b5 \u03bf\u03c0\u03bf\u03b9\u03b1\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03bc\u03b5\u03bb\u03c9\u03b4\u03af\u03b1 \u03b5\u03c0\u03b9\u03bb\u03ad\u03be\u03bf\u03c5\u03bd \u03b1\u03c0\u03cc \u03bf\u03c0\u03bf\u03b9\u03b1\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03bd\u03cc\u03c4\u03b1 \u03b8\u03ad\u03bb\u03ae\u03c3\u03bf\u03c5\u03bd. \u0391\u03c5\u03c4\u03cc \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03c4\u03b1 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7\u03c2 \u039c\u03b9-\u03a3\u03b9 (\u0395-\u0392) \u03bd\u03b1 \u03bf\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03bb\u03cc\u03b3\u03bf 3\/2 \u03cc\u03c0\u03c9\u03c2 \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u039d\u03c4\u03bf-\u03a3\u03bf\u03bb (C-G). \u038c\u03bd\u03c4\u03c9\u03c2 \u03b1\u03bd \u03b4\u03b9\u03b1\u03b9\u03c1\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf 243\/128 (\u039d\u03c4\u03bf-\u03a3\u03b9) \u03bc\u03b5 \u03c4\u03bf 81\/64 (\u039d\u03c4\u03bf-\u039c\u03b9) \u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b1\u03bd \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 1,5=3\/2. \u039c\u03b9\u03b1 \u03c7\u03b1\u03c1\u03ac \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd! \u0395\u03af\u03bc\u03b1\u03c3\u03c4\u03b5 \u03b5\u03be\u03b1\u03c3\u03c6\u03b1\u03bb\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03b9 \u03bc\u03b5 \u03c4\u03bf \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1\u2026<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0389 \u03bc\u03ae\u03c0\u03c9\u03c2 \u03cc\u03c7\u03b9;<\/p>\n\n\n\n<h3>\u03a4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03bc\u03b5 \u03c4\u03bf \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1<\/h3>\n\n\n\n<p class=\"has-small-font-size\">\u03a4\u03bf \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03b5\u03af \u03bc\u03af\u03b1 \u03c0\u03bf\u03bb\u03cd \u03b1\u03c0\u03bb\u03ae \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b1\u03c1\u03c7\u03ae. \u039c\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c3\u03c7\u03b5\u03b4\u03cc\u03bd \u00ab\u03bc\u03b1\u03b3\u03b9\u03ba\u03cc\u00bb \u03c0\u03ce\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c2 \u03bc\u03b5 \u03bc\u03b9\u03b1 \u03c4\u03cc\u03c3\u03bf \u03bb\u03b9\u03c4\u03ae \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03bd\u03b1 \u03b1\u03c0\u03bf\u03ba\u03b1\u03bb\u03cd\u03c8\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03bd\u03cc\u03bc\u03bf\u03c5\u03c2 \u03c4\u03b7\u03c2 \u03c6\u03cd\u03c3\u03b7\u03c2&#8230; <\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03bb\u03af\u03bc\u03bf\u03bd\u03bf! \u0397 \u03c6\u03cd\u03c3\u03b7 \u03b4\u03b5\u03bd \u03bc\u03b1\u03c2 \u03c7\u03b1\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03ac\u03bd\u03c4\u03b1 \u03c3\u03b5 \u03b1\u03c0\u03bb\u03cc\u03c4\u03b7\u03c4\u03b1. \u03a4\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b1 <strong><span style=\"text-decoration: underline;\">\u03b4\u03b5\u03bd<\/span><\/strong> \u03c3\u03c5\u03bc\u03b2\u03b9\u03b2\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b7 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ae \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03ba\u03b1\u03b9 \u03c8\u03c5\u03c7\u03bf\u03b1\u03ba\u03bf\u03c5\u03c3\u03c4\u03b9\u03ba\u03ae \u03b1\u03c1\u03c7\u03ae \u03cc\u03c4\u03b9 \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03bc\u03af\u03b1\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03bb\u03cc\u03b3\u03bf 2:1.<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03c2 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03c0\u03b9\u03bf \u03b1\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ac \u03c0\u03ce\u03c2 \u03b1\u03bd\u03b1\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1. \u0393\u03b9\u03b1 \u03bb\u03af\u03b3\u03bf \u03b1\u03c2 \u03be\u03b5\u03c7\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03ad\u03be\u03c5\u03c0\u03bd\u03b7 \u03bc\u03b1\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03bd\u03b1 \u03ba\u03b9\u03bd\u03b7\u03b8\u03bf\u03cd\u03bc\u03b5 \u03bc\u03b9\u03c3\u03cc \u03ba\u03cd\u03ba\u03bb\u03bf \u03b1\u03c1\u03b9\u03c3\u03c4\u03b5\u03c1\u03ac \u03ba\u03b1\u03b9 \u03bc\u03b9\u03c3\u03cc \u03ba\u03cd\u03ba\u03bb\u03bf \u03b4\u03b5\u03be\u03b9\u03ac \u03c3\u03c4\u03bf\u03bd \u03ba\u03cd\u03ba\u03bb\u03bf \u03c4\u03c9\u03bd \u03c0\u03b5\u03bc\u03c0\u03c4\u03ce\u03bd. \u0386\u03bb\u03bb\u03c9\u03c3\u03c4\u03b5, \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03ac, \u03ba\u03b9\u03bd\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf\u03b9 \u03cc\u03bb\u03bf \u03b4\u03b5\u03be\u03b9\u03ac \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c0\u03ac\u03bb\u03b9 \u03bd\u03b1 \u03bf\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03bd\u03cc\u03c4\u03b5\u03c2 \u03bc\u03b1\u03c2 \u03cc\u03bc\u03bf\u03c1\u03c6\u03b1 \u03ba\u03b9 \u03c9\u03c1\u03b1\u03af\u03b1 \u03b2\u03b7\u03bc\u03b1\u03c4\u03ac\u03ba\u03b9 \u03b2\u03b7\u03bc\u03b1\u03c4\u03ac\u03ba\u03b9. \u039a\u03ac\u03c0\u03bf\u03b9\u03b1 \u03c3\u03c4\u03b9\u03b3\u03bc\u03ae \u03b8\u03b1 \u03c6\u03c4\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ac \u03be\u03b1\u03bd\u03ac \u03c3\u03c4\u03b7\u03bd \u039d\u03c4\u03bf, \u03cc\u03bc\u03c9\u03c2 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2.<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u039f \u03bb\u03cc\u03b3\u03bf\u03c2 \u03c3\u03c5\u03c7\u03bd\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd (\u03ae \u03bc\u03b7\u03ba\u03ce\u03bd \u03c7\u03bf\u03c1\u03b4\u03ae\u03c2) \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03b4\u03cd\u03bf \u03bd\u03bf\u03c4\u03ce\u03bd \u039d\u03c4\u03bf \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9:  <\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\\left(\\frac{3}{2}\\right)^{12} \\approx 129.746.\n<\/pre><\/div>\n\n\n\n<p class=\"has-small-font-size\">\u0386\u03bc\u03b1 \u03cc\u03bc\u03c9\u03c2 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03b1 \u03bd\u03cc\u03c4\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03bd\u03c4\u03c9\u03c2 \u039d\u03c4\u03bf, \u03cc\u03c0\u03c9\u03c2 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03ae\u03b4\u03b7 \u03b4\u03b5\u03b9, \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b4\u03cd\u03bf \u03bd\u03bf\u03c4\u03ce\u03bd \u03c0\u03bf\u03c5 \u03b1\u03c0\u03bb\u03ce\u03c2 \u03b1\u03c0\u03ad\u03c7\u03bf\u03c5\u03bd \u03ba\u03ac\u03c0\u03bf\u03b9\u03b5\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b5\u03c2 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b3\u03c1\u03b1\u03c6\u03c4\u03b5\u03af \u03c9\u03c2 2<sup>n<\/sup>, \u03cc\u03c0\u03bf\u03c5 \u03c4\u03bf n \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf\u03c2. \u0391\u03c5\u03c4\u03cc \u03cc\u03bc\u03c9\u03c2 \u03b4\u03b5\u03bd \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9! <\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0393\u03b5\u03bd\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b1, \u03b4\u03b5\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03b1 m \u03ba\u03b1\u03b9 n \u03c0\u03bf\u03c5 \u03bd\u03b1 \u03bb\u03cd\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 <\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>2^n = (3\/2)^m.\n<\/pre><\/div>\n\n\n<div class=\"su-spoiler su-spoiler-style-modern-light su-spoiler-icon-plus su-spoiler-closed\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span class=\"su-spoiler-icon\"><\/span>\u0391\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7<\/div><div class=\"su-spoiler-content su-u-clearfix su-u-trim\">\n\u0388\u03c3\u03c4\u03c9 \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 m \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf \u03ce\u03c3\u03c4\u03b5 \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 n \u03bd\u03b1 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9:<br \/>\n<span class=\"katex-eq\" data-katex-display=\"true\">\n2^n = (3\/2)^m  \\Leftrightarrow 2^n \\cdot 2^m = 3^m \\Leftrightarrow 2^{n+m} = 3^m\n\n<\/span>\n\u039a\u03b1\u03c4\u03b1\u03bb\u03ae\u03be\u03b1\u03bc\u03b5 \u03c3\u03b5 \u03ac\u03c4\u03bf\u03c0\u03bf, \u03b3\u03b9\u03b1\u03c4\u03af \u03c4\u03bf \u03b1\u03c1\u03b9\u03c3\u03c4\u03b5\u03c1\u03cc \u03bc\u03ad\u03bb\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ac\u03c1\u03c4\u03b9\u03bf\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03b4\u03b5\u03be\u03af \u03c0\u03b5\u03c1\u03b9\u03c4\u03c4\u03cc\u03c2.<br \/>\n<\/div><\/div>\n\n\n\n<p class=\"has-small-font-size\">\u0397 \u03ba\u03bf\u03bd\u03c4\u03b9\u03bd\u03cc\u03c4\u03b5\u03c1\u03b7 \u039d\u03c4\u03bf \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c3\u03c4\u03bf\u03bd \u03bb\u03cc\u03b3\u03bf 129.746 \u03b2\u03b1\u03c3\u03b9\u03b6\u03cc\u03bc\u03b5\u03bd\u03bf\u03b9 \u03c3\u03c4\u03b9\u03c2 \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 2 \u03ad\u03b9\u03bd\u03b1\u03b9 \u03c4\u03bf 2<sup>7<\/sup>=128, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b7 7\u03b7 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1. \u039f\u03b9 \u03b4\u03cd\u03bf \u03bb\u03cc\u03b3\u03bf\u03b9 \u03ad\u03c7\u03bf\u03c5\u03bd \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2 \u03bc\u03b9\u03b1 \u03bc\u03b9\u03ba\u03c1\u03ae \u03b1\u03bb\u03bb\u03ac \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac. \u0391\u03c5\u03c4\u03ae \u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u00ab\u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u039a\u03cc\u03bc\u03bc\u03b1\u00bb.<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0391\u03c5\u03c4\u03cc \u03bc\u03b1\u03c2 \u03bf\u03b4\u03b7\u03b3\u03b5\u03af \u03c3\u03c4\u03bf \u03c3\u03c5\u03bc\u03c0\u03ad\u03c1\u03b1\u03c3\u03bc\u03b1 \u03cc\u03c4\u03b9 \u03c3\u03c4\u03bf\u03bd \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03c3\u03c5\u03b3\u03ba\u03b5\u03c1\u03b1\u03c3\u03bc\u03cc \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03b7\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2 \u03b4\u03b5\u03bd \u03b7\u03c7\u03b5\u03af \u03cc\u03c0\u03c9\u03c2 \u03b8\u03b1 \u03ad\u03c0\u03c1\u03b5\u03c0\u03b5, \u03b1\u03c6\u03bf\u03cd \u03b1\u03c0\u03bf\u03ba\u03bb\u03af\u03bd\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf 2:1. \u0395\u03af\u03bd\u03b1\u03b9 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c6\u03ac\u03bb\u03c4\u03c3\u03bf.<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u03a3\u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b2\u03af\u03bd\u03c4\u03b5\u03bf \u03b4\u03b5\u03af\u03c7\u03bd\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b5 \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03b1 \u03c4\u03bf\u03c5 iMuSciCA \u03c4\u03b9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 \u03c4\u03bf\u03bd \u03ba\u03cd\u03ba\u03bb\u03bf\u03c5 \u03c4\u03c9\u03bd \u03c0\u03b5\u03bc\u03c0\u03c4\u03ce\u03bd \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c3\u03c5\u03b3\u03ba\u03b5\u03c1\u03b1\u03c3\u03bc\u03bf\u03cd \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf\u03c5 \u03ba\u03bf\u03c5\u03c1\u03b4\u03af\u03c3\u03bc\u03b1\u03c4\u03bf\u03c2. \u0391\u03be\u03b9\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b1 \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03b1 \u03a3\u03b1\u03bb\u03af\u03b3\u03ba\u03b1\u03c1\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03a4\u03bf\u03bd\u03b9\u03ba\u03cc\u03c2 \u0394\u03af\u03c3\u03ba\u03bf\u03c2. \u03a3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1, \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd \u03a3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b7\u03c4\u03ae\u03c2 \u0389\u03c7\u03c9\u03bd, \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c9\u03c2 \u03bd\u03cc\u03c4\u03b1 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2 \u03c4\u03b7 \u03bd\u03cc\u03c4\u03b1 \u039d\u03c4\u03bf (65,4Hz) \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03be\u03b5\u03ba\u03af\u03bd\u03b7\u03c3\u03b5 \u03bf \u03ba\u03cd\u03ba\u03bb\u03bf\u03c2 \u03bc\u03b1\u03c2, \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03bf\u03c0\u03c4\u03b9\u03ba\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bc\u03b5 \u03b1\u03ba\u03cc\u03bc\u03b7 \u03c4\u03bf\u03bd \u03ae\u03c7\u03bf \u03c4\u03b7\u03c2 7\u03b7\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2 (2<sup>7<\/sup>\u00b765,4  = 8371,2 Hz) \u03ba\u03b1\u03b9 \u03c4\u03bf\u03bd \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf \u03ae\u03c7\u03bf \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1 ([3\/2]<sup>12<\/sup> \u00b7 65,4 = 8485,4 Hz). \u03a0\u03ac\u03bd\u03c9 \u03b4\u03b5\u03be\u03b9\u03ac, \u03c3\u03c4\u03bf \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03bf \u03a3\u03b1\u03bb\u03af\u03b3\u03ba\u03b1\u03c1\u03bf\u03c2 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03bf \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03bf\u03c2 \u03ae\u03c7\u03bf\u03c2 \u03b1\u03c0\u03bf\u03ba\u03bb\u03af\u03bd\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1. \u0397 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03b2\u03ad\u03b2\u03b1\u03b9\u03b1 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b5\u03cd\u03ba\u03bf\u03bb\u03bf \u03bd\u03b1 \u03b1\u03ba\u03bf\u03c5\u03c3\u03c4\u03b5\u03af \u03c3\u03b5 \u03c4\u03cc\u03c3\u03bf \u03bc\u03b5\u03b3\u03ac\u03bb\u03b5\u03c2 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03bc\u03b5 \u03c4\u03bf \u03b1\u03c5\u03c4\u03af.<\/p>\n\n\n\n<p class=\"has-small-font-size\">\u03a3\u03b7\u03bc\u03b5\u03af\u03c9\u03c3\u03b7: \u03c4\u03b1 \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03b1 \u03a3\u03b1\u03bb\u03af\u03b3\u03ba\u03b1\u03c1\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03a4\u03bf\u03bd\u03b9\u03ba\u03cc\u03c2 \u0394\u03af\u03c3\u03ba\u03bf\u03c2 \u03c3\u03c4\u03bf iMuSciCA \u03b4\u03b5\u03bd \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03b9\u03c3\u03c4\u03bf\u03cd\u03bd \u03c4\u03bf\u03bd \u03ba\u03cd\u03ba\u03bb\u03bf \u03c4\u03c9\u03bd \u03c0\u03b5\u03bc\u03c0\u03c4\u03ce\u03bd, \u03b1\u03bb\u03bb\u03ac \u03c4\u03c9\u03bd \u03c7\u03c1\u03c9\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03ba\u03cd\u03ba\u03bb\u03bf. \u0394\u03b7\u03bb\u03b1\u03b4\u03ae \u03ba\u03ac\u03b8\u03b5 \u03b2\u03ae\u03bc\u03b1 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b7\u03bc\u03b9\u03c4\u03cc\u03bd\u03b9\u03bf\u03c5 (\u03ba\u03b1\u03b9 \u03cc\u03c7\u03b9 \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7\u03c2). <\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Pythagoras and 5ths\" width=\"1140\" height=\"641\" src=\"https:\/\/www.youtube.com\/embed\/CBbdeURczCE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption>\u03a0\u03c1\u03bf\u03c3\u03bf\u03c7\u03ae! \u039c\u03b7\u03bd \u03b2\u03ac\u03b6\u03b5\u03c4\u03b5 \u03c0\u03bf\u03bb\u03cd \u03b4\u03c5\u03bd\u03b1\u03c4\u03ac \u03c4\u03bf\u03bd \u03ae\u03c7\u03bf \u03c3\u03c4\u03bf \u03b2\u03af\u03bd\u03c4\u03b5\u03bf.<\/figcaption><\/figure>\n\n\n<div class=\"su-spoiler su-spoiler-style-modern-light su-spoiler-icon-plus su-spoiler-closed\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span class=\"su-spoiler-icon\"><\/span>\u0386\u03c3\u03ba\u03b7\u03c3\u03b7<\/div><div class=\"su-spoiler-content su-u-clearfix su-u-trim\">\n\u0394\u03bf\u03ba\u03b9\u03bc\u03ac\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03c0\u03b5\u03b9\u03c1\u03b1\u03bc\u03b1\u03c4\u03b9\u03c3\u03c4\u03b5\u03af\u03c4\u03b5 \u03ba\u03b9 \u03b5\u03c3\u03b5\u03af\u03c2. \u03a3\u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd \u03c4\u03bf\u03c5 \u03a3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b7\u03c4\u03ae \u0389\u03c7\u03bf\u03c5 (Tone Synthesizer) \u03c4\u03bf\u03c5 iMuSciCA \u03bf\u03c1\u03af\u03c3\u03c4\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c4\u03b1\u03bb\u03b1\u03bd\u03c4\u03c9\u03c4\u03ae \u03bc\u03b5 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf \u039d\u03c4\u03bf \u03bc\u03b9\u03b1\u03c2 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b1\u03c2 \u03c7\u03b1\u03bc\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03b1 (32.7Hz), \u03ad\u03bd\u03b1\u03bd \u03b1\u03ba\u03cc\u03bc\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03bf \u00ab\u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u00bb \u039d\u03c4\u03bf \u03cc\u03c0\u03c9\u03c2 \u03bf\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b2\u03ac\u03c3\u03b5\u03b9 \u03c4\u03bf\u03c5 \u03bb\u03cc\u03b3\u03bf\u03c5 (3\/2)^12, \u03ba\u03b1\u03b9 \u03ad\u03bd\u03b1\u03bd \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03bf \u03c4\u03b1\u03bb\u03b1\u03bd\u03c4\u03c9\u03c4\u03ae \u03b3\u03b9\u03b1 \u03c4\u03bf \u00ab\u03c3\u03c9\u03c3\u03c4\u03cc\u00bb \u039d\u03c4\u03bf, 7 \u03bf\u03ba\u03c4\u03ac\u03b2\u03b5\u03c2 \u03c8\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b1\u03c0\u03cc \u03c4\u03bf \u03b1\u03c1\u03c7\u03b9\u03ba\u03cc. \u0391\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03b4\u03cd\u03bf \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03bf\u03c5\u03c2 \u03ae\u03c7\u03bf\u03c5\u03c2 \u03c4\u03bf\u03bd \u03ad\u03bd\u03b1\u03bd \u03bc\u03b5\u03c4\u03ac \u03c4\u03bf\u03bd \u03ac\u03bb\u03bb\u03bf \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03b4\u03b9\u03b1\u03ba\u03c1\u03af\u03bd\u03b5\u03c4\u03b5 \u03c4\u03b7 \u03c3\u03c5\u03c7\u03bd\u03bf\u03c4\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c0\u03cc\u03ba\u03bb\u03b9\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03bf \u03b1\u03c5\u03c4\u03af \u03c3\u03b1\u03c2.<br \/>\n<\/div><\/div>\n\n\n\n<p><\/p>\n\n\n\n<h3>\u0393\u03b9\u03b1\u03c4\u03c1\u03b5\u03cd\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1;<\/h3>\n\n\n\n<p class=\"has-small-font-size\">\u03a4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03bc\u03b5 \u03c4\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b1 \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03ae\u03b8\u03b7\u03ba\u03b5 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c0\u03b5\u03c1\u03b1\u03c3\u03c4\u03b5\u03af \u03bc\u03b5 \u03c4\u03bf \u03bd\u03b1 \u03b5\u03be\u03b1\u03c3\u03c6\u03b1\u03bb\u03b9\u03c3\u03c4\u03b5\u03af \u03cc\u03c4\u03b9 \u03c4\u03bf 12\u03bf, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c4\u03bf \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03bf \u03b2\u03ae\u03bc\u03b1 \u03c3\u03c4\u03bf\u03bd \u03ba\u03cd\u03ba\u03bb\u03bf \u03c4\u03c9\u03bd \u03c0\u03b5\u03bc\u03c0\u03c4\u03ce\u03bd, \u03b4\u03b5\u03bd \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 3\/2. <\/p>\n\n\n<div class=\"su-spoiler su-spoiler-style-modern-light su-spoiler-icon-plus su-spoiler-closed\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span class=\"su-spoiler-icon\"><\/span>\u03a0\u03cc\u03c3\u03bf \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u00ab\u03b4\u03b9\u03bf\u03c1\u03b8\u03c9\u03bc\u03ad\u03bd\u03bf\u00bb 12\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1;<\/div><div class=\"su-spoiler-content su-u-clearfix su-u-trim\">\n\u0391\u03bd \u03bf\u03bd\u03bf\u03bc\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf 12o \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 x, \u03c4\u03cc\u03c4\u03b5 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b9\u03c3\u03c7\u03b5\u03cd\u03b9\u03b5:<br \/>\n<span class=\"katex-eq\" data-katex-display=\"true\">\n\\left(\\frac{3}{2}\\right)^{11} \\cdot x=128  \\Rightarrow\n\nx = \\frac{128\\cdot2^{11}}{3^{11}} = \\frac{262144}{177147} = 1.4798\n\n<\/span>\n<\/div><\/div>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-small-font-size\">\u03a3\u03c4\u03bf \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03ac \u03bc\u03b1\u03c2, \u03c0\u03bf\u03c5 \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03bf\u03c5\u03bc\u03b5 \u03c9\u03c2 \u03bd\u03cc\u03c4\u03b1 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2 \u03c4\u03b7\u03bd \u039d\u03c4\u03bf, \u03c4\u03bf \u03b5\u03bd \u03bb\u03cc\u03b3\u03c9 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03a6\u03b1-\u039d\u03c4\u03bf. <\/p>\n\n\n\n<p class=\"has-small-font-size\">\u0394\u03c5\u03c3\u03c4\u03c5\u03c7\u03ce\u03c2, \u03b3\u03b9\u03b1 \u03ac\u03bb\u03bb\u03b7 \u03bc\u03b9\u03b1 \u03c6\u03bf\u03c1\u03ac \u03b4\u03b5\u03bd \u03c0\u03b5\u03c4\u03c5\u03c7\u03b1\u03af\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03bd \u03c3\u03ba\u03bf\u03c0\u03cc \u03bc\u03b1\u03c2. \u0391\u03c5\u03c4\u03cc \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03cc\u03c0\u03c9\u03c2 \u03bf\u03c1\u03af\u03c3\u03c4\u03b7\u03ba\u03b5 \u03b5\u03ba \u03bd\u03ad\u03bf\u03c5, \u03b4\u03b9\u03bf\u03c1\u03b8\u03c9\u03bc\u03ad\u03bd\u03bf, \u03b4\u03b5\u03bd \u03b7\u03c7\u03b5\u03af \u03cc\u03bc\u03bf\u03c1\u03c6\u03b1. \u039c\u03ac\u03bb\u03b9\u03c3\u03c4\u03b1 \u03b7\u03c7\u03b5\u03af \u03c4\u03cc\u03c3\u03bf \u03ac\u03c3\u03c7\u03b7\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03c3\u03c4\u03b7 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c4\u03b7\u03c2 \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2 \u03bf\u03bd\u03bf\u03bc\u03ac\u03c3\u03c4\u03b7\u03ba\u03b5 \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7 \u03c4\u03bf\u03c5 \u03bb\u03cd\u03ba\u03bf\u03c5, \u03c3\u03b5 \u03b1\u03bd\u03b1\u03bb\u03bf\u03b3\u03af\u03b1 \u03bc\u03b5 \u03c4\u03bf \u03b1\u03bb\u03cd\u03c7\u03c4\u03b9\u03c3\u03bc\u03b1 \u03c4\u03c9\u03bd \u03bb\u03cd\u03ba\u03c9\u03bd. \u0388\u03c4\u03c3\u03b9, \u03b3\u03b9\u03b1 \u03b1\u03b9\u03ce\u03bd\u03b5\u03c2 \u03b1\u03c0\u03ad\u03c6\u03b5\u03c5\u03b3\u03b1\u03bd \u03bd\u03b1 \u03c0\u03b1\u03af\u03b6\u03bf\u03c5\u03bd \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1. \u0391\u03c5\u03c4\u03cc \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03c4\u03bf \u03c4\u03b5\u03c1\u03ac\u03c3\u03c4\u03b9\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03cc\u03c4\u03b9 \u03bc\u03b9\u03b1 \u03bc\u03b5\u03bb\u03c9\u03b4\u03af\u03b1 \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b5 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c6\u03b5\u03c1\u03b8\u03b5\u03af \u03b5\u03bb\u03b5\u03cd\u03b8\u03b5\u03c1\u03b1 \u03c3\u03b5 \u03ac\u03bb\u03bb\u03bf \u03c4\u03bf\u03bd\u03b9\u03ba\u03cc \u03cd\u03c8\u03bf\u03c2, \u03bd\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03bd\u03b1 \u03c4\u03b7\u03bd \u03c0\u03b1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03be\u03b5\u03ba\u03b9\u03bd\u03ce\u03bd\u03c4\u03b1\u03c2 \u03b1\u03c0\u03cc \u03bf\u03c0\u03bf\u03b9\u03b1\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03ac\u03bb\u03bb\u03b7 \u03bd\u03cc\u03c4\u03b1, \u03cc\u03c0\u03c9\u03c2 \u03ba\u03ac\u03bd\u03b1\u03bc\u03b5 \u03bc\u03b5 \u03c4\u03bf \u00ab\u03a6\u03b5\u03b3\u03b3\u03b1\u03c1\u03ac\u03ba\u03b9 \u03bc\u03bf\u03c5 \u039b\u03b1\u03bc\u03c0\u03c1\u03cc\u00bb.<\/p>\n\n\n<div class=\"su-spoiler su-spoiler-style-modern-light su-spoiler-icon-plus su-spoiler-closed\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span class=\"su-spoiler-icon\"><\/span>\u03a3\u03b7\u03bc\u03b5\u03af\u03c9\u03c3\u03b7<\/div><div class=\"su-spoiler-content su-u-clearfix su-u-trim\">\n\u0395\u03c0\u03af\u03c3\u03b7\u03c2, \u03c3\u03c5\u03c7\u03bd\u03ac \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03ba\u03bf\u03bc\u03bc\u03ac\u03c4\u03b9 \u03b4\u03b5\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03b6\u03cc\u03bc\u03b1\u03c3\u03c4\u03b5 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1 7 \u03bd\u03cc\u03c4\u03c9\u03bd \u03cc\u03c0\u03c9\u03c2 \u03b7 \u039d\u03c4\u03bf-\u03a1\u03b5-\u039c\u03b9-\u03a6\u03b1-\u03a3\u03bf\u03bb-\u039b\u03b1-\u03a3\u03b9 (\u03b2\u03bb\u03ad\u03c0\u03b5, \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1 \u039d\u03c4\u03bf \u03bc\u03b5\u03af\u03b6\u03bf\u03bd\u03b1) \u03c0\u03bf\u03c5 \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03b1\u03bc\u03b5 \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9. \u039c\u03ad\u03c3\u03b1 \u03c3\u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03ba\u03bf\u03bc\u03bc\u03ac\u03c4\u03b9 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03bb\u03bb\u03ac\u03be\u03bf\u03c5\u03bc\u03b5 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1 (\u03ae \u03bd\u03b1 \u03c7\u03c1\u03c9\u03bc\u03b1\u03c4\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1 \u03bc\u03b1\u03c2 \u03bc\u03b5 \u03bd\u03cc\u03c4\u03b5\u03c2 \u03b5\u03ba\u03c4\u03cc\u03c2 \u03b1\u03c5\u03c4\u03ae\u03c2) \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c7\u03c1\u03b5\u03b9\u03b1\u03c3\u03c4\u03b5\u03af \u03bd\u03b1 \u03c0\u03b1\u03af\u03be\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03b1 \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1. \u0391\u03bd \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03c4\u03b5 \u03ba\u03b1\u03b9 \u03ba\u03b1\u03bb\u03ac \u03bd\u03b1 \u03b1\u03c0\u03bf\u03c6\u03b5\u03cd\u03b3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03bb\u03cd\u03ba\u03bf\u03c5, \u03c3\u03af\u03b3\u03bf\u03c5\u03c1\u03b1 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03b6\u03cc\u03bc\u03b1\u03c3\u03c4\u03b5 \u03ba\u03b1\u03bb\u03bb\u03b9\u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ac.<br \/>\n<\/div><\/div>\n\n\n\n<p class=\"has-small-font-size\">\u039c\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03b1\u03ba\u03bf\u03cd\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c0\u03ad\u03bc\u03c0\u03c4\u03b7 \u03c4\u03bf\u03c5 \u03bb\u03cd\u03ba\u03bf\u03c5 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03b2\u03af\u03bd\u03c4\u03b5\u03bf:<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Wolf Fifth\" width=\"1140\" height=\"641\" src=\"https:\/\/www.youtube.com\/embed\/Dl7iIzvUMGg?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"has-small-font-size\"><\/p>\n\n\n<div class=\"su-spoiler su-spoiler-style-modern-light su-spoiler-icon-plus su-spoiler-closed\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span class=\"su-spoiler-icon\"><\/span>\u0386\u03c3\u03ba\u03b7\u03c3\u03b7<\/div><div class=\"su-spoiler-content su-u-clearfix su-u-trim\">\n\u03a3\u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd \u03c4\u03bf\u03c5 \u03a3\u03c5\u03bd\u03b8\u03b5\u03c4\u03b7\u03c4\u03ae \u0389\u03c7\u03bf\u03c5 (Tone Synthesizer) \u03c4\u03bf\u03c5 iMuSciCA, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ac\u03c3\u03b5\u03c4\u03b5 \u03bf\u03b9 \u03af\u03b4\u03b9\u03bf\u03b9 \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03bb\u03cd\u03ba\u03bf\u03c5. \u0395\u03c0\u03b9\u03bb\u03ad\u03be\u03c4\u03b5 \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03c4\u03b7\u03bd \u039d\u03c4\u03bf \u03bc\u03b5 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 261.6Hz \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03a6\u03b1 \u03ba\u03bf\u03c5\u03c1\u03b4\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7 \u03b2\u03ac\u03c3\u03b5\u03b9 \u03c4\u03bf\u03c5 \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf\u03c5 \u03c3\u03c5\u03b3\u03ba\u03b5\u03c1\u03b1\u03c3\u03bc\u03bf\u03cd \u03bc\u03b5 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 (262144\/177147)\u00b7261,6=387,1Hz. \u039f \u03ae\u03c7\u03bf\u03c2 \u03b2\u03ad\u03b2\u03b1\u03b9\u03b1 \u03b4\u03b5\u03bd \u03b8\u03b1 \u03b1\u03ba\u03bf\u03c5\u03c3\u03c4\u03b5\u03af \u03c4\u03bf \u03af\u03b4\u03b9\u03bf 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srcset=\"https:\/\/i1.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/\u0391\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae-\u03c3\u03c4\u03ae\u03bb\u03b7-\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1.png?resize=1024%2C255&amp;ssl=1 1024w, https:\/\/i1.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/\u0391\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae-\u03c3\u03c4\u03ae\u03bb\u03b7-\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1.png?resize=300%2C75&amp;ssl=1 300w, https:\/\/i1.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/\u0391\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae-\u03c3\u03c4\u03ae\u03bb\u03b7-\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1.png?resize=768%2C191&amp;ssl=1 768w, https:\/\/i1.wp.com\/episteamousiki.athenarc.gr\/wp-content\/uploads\/2023\/07\/\u0391\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae-\u03c3\u03c4\u03ae\u03bb\u03b7-\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1.png?w=1257&amp;ssl=1 1257w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" data-recalc-dims=\"1\" \/><\/figure><\/li><\/ul><figcaption class=\"blocks-gallery-caption\">\u039f\u03b9 \u03c0\u03c1\u03ce\u03c4\u03b5\u03c2 \u03b5\u03bd\u03bd\u03b9\u03ac \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b5\u03bd\u03cc\u03c2 \u039d\u03c4\u03bf.<\/figcaption><\/figure>\n\n\n\n<p class=\"has-small-font-size\">\u039f\u03b9 \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae \u03bc\u03b9\u03b1\u03c2 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1\u03c2 \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b2\u03ac\u03c3\u03b7 \u03c4\u03c9\u03bd \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ce\u03bd \u03b4\u03b9\u03b1\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03c4\u03b7\u03c2 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1\u03c2, \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03c4\u03bf \u03b1\u03c5\u03c4\u03af \u03bd\u03b1 \u03c4\u03b1 \u03b1\u03bd\u03b1\u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03b5\u03b9 \u03c3\u03b1\u03bd \u03c3\u03c9\u03c3\u03c4\u03ac \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1. \u0388\u03c4\u03c3\u03b9, \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u039d\u03c4\u03bf-\u039c\u03b9 (\u03c0\u03bf\u03c5 \u03c3\u03c4\u03b7 \u03bc\u03bf\u03c5\u03c3\u03b9\u03ba\u03ae \u03bf\u03c1\u03bf\u03bb\u03bf\u03b3\u03af\u03b1 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 <em>\u03bc\u03b5\u03b3\u03ac\u03bb\u03b7 \u03c4\u03c1\u03af\u03c4\u03b7<\/em>) \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03bb\u03cc\u03b3\u03bf \u03c4\u03b7\u03c2 \u039d\u03c4\u03bf \u03c4\u03b7\u03bd 5\u03b7 \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae. \u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03bf \u03bb\u03cc\u03b3\u03bf\u03c2 \u03b1\u03c5\u03c4\u03cc\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 5:4.  <\/p>\n\n\n\n<p class=\"has-small-font-size\">\u038c\u03c0\u03c9\u03c2 \u03b5\u03af\u03b4\u03b1\u03bc\u03b5 \u03cc\u03bc\u03c9\u03c2 \u03bd\u03c9\u03c1\u03af\u03c4\u03b5\u03c1\u03b1, \u03c4\u03bf \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u039d\u03c4\u03bf-\u039c\u03b9 \u03c3\u03c4\u03bf \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03ba\u03bf\u03cd\u03c1\u03b4\u03b9\u03c3\u03bc\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03bb\u03cc\u03b3\u03bf 81:64, \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf\u03b9 \u03b4\u03b5\u03bd \u03b9\u03c3\u03bf\u03cd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03bf 5:4 (=80:64) \u03c0\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b4\u03af\u03bd\u03b5\u03b9 \u03b7 \u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae \u03c3\u03c4\u03ae\u03bb\u03b7. <\/p>\n\n\n<div class=\"su-spoiler su-spoiler-style-modern-light su-spoiler-icon-plus su-spoiler-closed\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-spoiler-title\" tabindex=\"0\" role=\"button\"><span class=\"su-spoiler-icon\"><\/span>\u03a3\u03b7\u03bc\u03b5\u03af\u03c9\u03c3\u03b7<\/div><div class=\"su-spoiler-content su-u-clearfix su-u-trim\">\n\u03a4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03ba\u03c5\u03c1\u03af\u03c9\u03c2 \u03cc\u03c4\u03b1\u03bd \u03bf\u03b9 \u03b4\u03cd\u03bf \u03bd\u03cc\u03c4\u03b5\u03c2 \u03c0\u03b1\u03b9\u03c7\u03c4\u03bf\u03cd\u03bd \u03c4\u03b1\u03c5\u03c4\u03cc\u03c7\u03c1\u03bf\u03bd\u03b1. \u0391\u03c5\u03c4\u03cc \u03c3\u03c5\u03bc\u03b2\u03b1\u03af\u03bd\u03b5\u03b9 \u03b3\u03b9\u03b1\u03c4\u03af 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\u03b4\u03b9\u03b1\u03ba\u03c1\u03cc\u03c4\u03b7\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03bf \u03ae\u03c7\u03bf\u03c2 \u03b1\u03ba\u03bf\u03cd\u03b3\u03b5\u03c4\u03b1\u03b9 \u03b4\u03c5\u03c3\u03b1\u03c1\u03bc\u03bf\u03bd\u03b9\u03ba\u03cc\u03c2. (\u0393\u03b9\u03b1 \u03c4\u03bf \u03c6\u03b1\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03c4\u03bf\u03c5 \u03b4\u03b9\u03b1\u03ba\u03c1\u03bf\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b4\u03b5\u03c2 \u03c4\u03b7 \u03b4\u03c1\u03b1\u03c3\u03c4\u03b7\u03c1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 &#8220;\u03a3\u03cd\u03bd\u03b8\u03b5\u03c4\u03bf\u03b9 \u0389\u03c7\u03bf\u03b9: \u0394\u03b9\u03b1\u03ba\u03c1\u03cc\u03c4\u03b7\u03bc\u03b1&#8221;.)<br \/>\n<\/div><\/div>\n\n\n\n<h3>\u039a\u03bb\u03b5\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2&#8230;<\/h3>\n\n\n\n<p class=\"has-small-font-size\">\u0394\u03af\u03ba\u03b1\u03b9\u03b1, \u03b8\u03b1 \u03b8\u03ad\u03c3\u03b5\u03b9 \u03ba\u03b1\u03bd\u03b5\u03af\u03c2 \u03c4\u03bf \u03b5\u03c1\u03ce\u03c4\u03b7\u03bc\u03b1: \u0393\u03b9\u03b1\u03c4\u03af \u03b4\u03b5\u03bd \u03bf\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c3\u03c5\u03b3\u03ba\u03b5\u03c1\u03b1\u03c3\u03bc\u03cc \u03b2\u03ac\u03c3\u03b5\u03b9 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