User:MisterShafXen/4.9.7 5&22 (64/63) temperament

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Revision as of 21:40, 9 July 2025 by MisterShafXen (talk | contribs) (Created page with "The 4.9.7 5&22 temperament is a double octave-repeating version of archytas, tempering out 64/63. The temperament has its generator at a slightly sharp 9/4, with optimal tunings ~10-15 ¢ of just. Comma: 64/63 Optimal ed4 sequence: 5, 17, 22, 12, 7, 27… == Common MOS scales == Owing to the fact that this temperament is generated by the double...")
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The 4.9.7 5&22 temperament is a double octave-repeating version of archytas, tempering out 64/63. The temperament has its generator at a slightly sharp 9/4, with optimal tunings ~10-15 ¢ of just.

Comma: 64/63

Optimal ed4 sequence: 5, 17, 22, 12, 7, 27…

Common MOS scales

Owing to the fact that this temperament is generated by the double 8ve and major 9th, it can be seen as a kind of "double diatonic" temperament. Here are the double octave-repeating MOS scales of this temperament, organized by tuning.

2L 3s

5ed4-1:1, 17ed4-4:3

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