22edo: Difference between revisions
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Tristanbay (talk | contribs) →Overview to JI approximation quality: Changed "superpyth" to "archy" (the superpyth comma is 20480/19683, while archy only tempers out 64/63) Tags: Mobile edit Mobile web edit |
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22et can also be treated as adding harmonics 3 and 5 to 11edo's 2.7.9.11.15.17 subgroup, making it a (rather accurate) 2.3.5.7.11.17 subgroup temperament. Let us also mind its approximation of the 31st harmonic is within half a cent, which is fairly accurate. It also approximates some intervals involving the 29th harmonic well, especially 29/24, which is also matched within half a cent. This leaves us with 2.3.5.7.11.17.29.31. | 22et can also be treated as adding harmonics 3 and 5 to 11edo's 2.7.9.11.15.17 subgroup, making it a (rather accurate) 2.3.5.7.11.17 subgroup temperament. Let us also mind its approximation of the 31st harmonic is within half a cent, which is fairly accurate. It also approximates some intervals involving the 29th harmonic well, especially 29/24, which is also matched within half a cent. This leaves us with 2.3.5.7.11.17.29.31. | ||
22et is very close to an extended "quarter-comma | 22et is very close to an extended "quarter-comma archy", a tuning analogous to quarter-comma meantone except that it tempers out the septimal comma [[64/63]] instead of the syntonic comma [[81/80]]. Because of this it has nearly pure septimal major thirds ([[9/7]]). | ||
=== Prime harmonics === | === Prime harmonics === | ||