7777/7776: Difference between revisions
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| Name = power of 6 repdigit comma | | Name = power of 6 repdigit comma | ||
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7777/7776 is an unnoticeable comma of 223 millicents, and it is a part of 101-limit just intonation. | '''7777/7776''', the '''power of 6 repdigit comma''' is an unnoticeable comma of 223 millicents, and it is a part of 101-limit just intonation. | ||
It is the difference between a stack of 5 [[6/1|hexataves]] and 7, 11, and 101 harmonics stacked, or when octave-reduced, between 7/4, 11/8, and 101/64 and the Pythagorean major seventh, [[243/128]]. | The comma derives from the resemblance of a perfect power of 6, 7776, to a repdigit number 7777. It is the difference between a stack of 5 [[6/1|hexataves]] and 7, 11, and 101 harmonics stacked, or when octave-reduced, between 7/4, 11/8, and 101/64 and the Pythagorean major seventh, [[243/128]]. | ||
== Temperaments == | == Temperaments == | ||
[[135edo]] supports a large amount of temperaments when it comes to this comma. Other EDOs which temper it out are {{EDOs|342, 207, 1012, 477, 1147, 971, 270, 836, 877}}. Note that 270edo is a multiple of 135edo. | [[135edo]] supports a large amount of temperaments when it comes to this comma. Other EDOs which temper it out are {{EDOs|342, 207, 1012, 477, 1147, 971, 270, 836, 877}}. Note that 270edo is a multiple of 135edo. | ||