4320edo: Difference between revisions
→Regular temperament theory: this is the opv for 1\80 Hg |
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4320edo tempers out the [[Kirnberger's atom]], and aside from tuning the atomic temperament, it supports period-60 temperament [[minutes]]. It also provides the optimal patent val for the period-80 temperament [[mercury]]. | 4320edo tempers out the [[Kirnberger's atom]], and aside from tuning the atomic temperament, it supports period-60 temperament [[minutes]]. It also provides the optimal patent val for the period-80 temperament [[mercury]]. | ||
In the 7-limit, 4320edo tempers out the [[landscape comma]], and in the 11-limit, the [[kalisma]], and as such it is a tuning for the rank-3 temperament [[odin]] tempering out both of them. | In the 7-limit, 4320edo tempers out the [[landscape comma]], and in the 11-limit, the [[kalisma]], and as such it is a tuning for the rank-3 temperament [[odin]] tempering out both of them. In the 13-limit, it tempers out [[6656/6655]], 67392/67375, 151263/151250. In the 17-limit, it tempers out [[12376/12375]], 14400/14399, 28561/28560, and also commas associated with 80edo, such as [[80-17-comma]] and 80-11/10-comma, that is {{monzo|-91 0 -80 0 80}}. | ||
Higher harmonics it represents well past the 23-limit are 31, 37, 47, 59, 61, 71. | Higher harmonics it represents well past the 23-limit are 31, 37, 47, 59, 61, 71. | ||