User:2^67-1/TempClean sandbox/Pythagorean tuning: Difference between revisions
Created page with "{{Wikipedia|Pythagorean tuning}} The '''3-limit''' consists of intervals that are either an integer whose only prime factors are 2 and 3, the reciprocal of such an intege..." |
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[[Octave]]-based Pythagorean tuning is essentially how it is used in the common-practice. This gives MOS sizes of 2, 3, 5 ([[2L 3s]] pentic), 7 ([[5L 2s]] diatonic), 12 ([[5L 7s]] chromatic), 17 ([[12L 5s]] enharmonic), 29, 41, and 53. | [[Octave]]-based Pythagorean tuning is essentially how it is used in the common-practice. This gives MOS sizes of 2, 3, 5 ([[2L 3s]] pentic), 7 ([[5L 2s]] diatonic), 12 ([[5L 7s]] chromatic), 17 ([[12L 5s]] enharmonic), 29, 41, and 53. | ||
[[Tritave]]-based Pythagorean tuning | [[Tritave]]-based Pythagorean tuning is an approach described in [https://arxiv.org/abs/1709.00375 this paper] by M. Schmidmeier. This gives MOS sizes of 2, 3, 5, 8, 11, 19, 25, 46, and 65. The 11-note scale can be regarded as the diatonic-like scale of tritave-equivalent Pythagorean, and the 19-note scale can be regarded as its respective chromatic-like scale. | ||
== Table of intervals == | == Table of intervals == | ||