65edo: Difference between revisions
Compression (temporary until full version can be done) |
Corrections based on the fact that 65edo's 7 and 13 err on the opposite sides in the patent val |
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== Octave stretch or compression == | == Octave stretch or compression == | ||
65edo tunes [[primes]] 2, 3, 5 and 11 very well, but its 7 and 13 have two about equally-bad mappings. [[ | 65edo tunes [[primes]] 2, 3, 5 and 11 very well, but its 7 and 13 have two about equally-bad mappings. [[Stretched and compressed tuning|Stretching or shrinking the octave]] of 65edo for improvements in its approximations of [[JI]] therefore depends on which mapping is used: the sharp tending 65d val wants octave shrinking, whereas the flat tending 65f val wants octave stretching; both can be achieved at the cost of relatively little damage to other primes. | ||
Some tunings of 65edo which do this include [[zpi|334zpi]], [[ed5|151ed5]] and [[equal tuning|225ed11]]. | Some tunings of 65edo which do this include [[zpi|334zpi]], [[ed5|151ed5]] and [[equal tuning|225ed11]]. | ||