Breed family: Difference between revisions
m Removing from Category:Regular temperament theory using Cat-a-lot |
→Freya: +Heimlaug (an alt extension with the sinbadma) |
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Projection pairs: ~3 = ~2401/800, ~5 = ~22880495169/4575312500, ~7 = ~1058841/151250, ~11 = ~33275/3024, ~13 = ~1814078464000000000000000/139662717676432916098329 to 2.49/5.77/3 | Projection pairs: ~3 = ~2401/800, ~5 = ~22880495169/4575312500, ~7 = ~1058841/151250, ~11 = ~33275/3024, ~13 = ~1814078464000000000000000/139662717676432916098329 to 2.49/5.77/3 | ||
=== Heimlaug === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 1001/1000, 1716/1715, 3025/3024 | |||
Mapping: [{{val| 1 1 3 3 2 7 }}, {{val| 0 2 3 2 1 6 }}, {{val| 0 0 -4 -2 3 -13 }}] | |||
Mapping generators: ~2, ~49/40, ~55/42 | |||
Vals: {{Val list| 8bcef, 15bbccdeeff, 23bcf, 31, 72, 103, 167, 198, 270, 571, 643, 913f }} | |||
Badness: 0.601 × 10<sup>-3</sup> | |||
==== 17-limit ==== | |||
The below extension tempers out a 'two-million comma' 2000033/2000000 = [-7 0 -6 6 0 0 1] ~ 0.029c that is the ratio of 17/2 to (10/7)<sup>6</sup>. Equave 10/7 and 16-note scales with that period are of interest. | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 715/714, 936/935, 1001/1000, 1225/1224, 1716/1715 | |||
Mapping: [{{val| 1 1 3 3 2 7 7 }}, {{val| 0 2 3 2 1 6 6 }}, {{val| 0 0 -4 -2 3 -13 -12 }}] | |||
Mapping generators: ~2, ~49/40, ~17/13 | |||
Vals: {{Val list| 8bcefg, 15bbccdeeffggg, 23bcfg, 31, 64be, 72, 103, 167, 198g, 239, 270 }} | |||
Badness: 0.829 × 10<sup>-3</sup> | |||
== Vili == | == Vili == | ||