No-twos subgroup temperaments: Difference between revisions

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[[Optimal ET sequence]]: [[4edt|b4]], [[9edt|b9]], [[13edt|b13]], [[56edt|b56]], [[69edt|b69]], [[82edt|b82]], [[95edt|b95]]
[[Optimal ET sequence]]: [[4edt|b4]], [[9edt|b9]], [[13edt|b13]], [[56edt|b56]], [[69edt|b69]], [[82edt|b82]], [[95edt|b95]]
[[Category:Temperament collections]]
[[Category:Nonoctave]]
[[Category:Tritave]]

Revision as of 03:04, 6 July 2023

(WIP, catalog of 3.5.7 subgroup rank two temperaments will eventually be redirected here)

This is a collection of subgroup temperaments which omit the prime harmonic of 2. These are all nonoctave scales using a period of a tritave rather than an octave.

BPS

Subgroup: 3.5.7

Comma list: 245/243

Sval mapping: [1 1 2], 0 -2 1]]

Sval mapping generators: ~3, ~9/7

Optimal tuning (POTE): ~3 = 1\1edt, ~9/7 = 440.4881

Optimal ET sequence: b4, b9, b13, b56, b69, b82, b95