No-threes subgroup temperaments: Difference between revisions
ported Huntington and Silver from Chromatic pairs |
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{{Optimal ET sequence|legend=1| 52, 1737, 1789 }}, ... | {{Optimal ET sequence|legend=1| 52, 1737, 1789 }}, ... | ||
=== Huntington === | |||
{{See also| Chromatic pairs #Huntington }} | |||
Huntington may be described as the 10 & 27 temperament in the 2.5.7.13 subgroup. | |||
[[Subgroup]]: 2.5.7.13 | |||
[[Comma list]]: [[640/637]], [[10985/10976]] | |||
{{Mapping|legend=2| 1 5 4 4 | 0 -9 -4 -1 }} | |||
{{Mapping|legend=3| 1 0 5 4 0 4 | 0 0 -9 -4 0 -1 }} | |||
: [[gencom]]: [2 16/13; 640/637 10985/10976] | |||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~16/13 = 357.002 | |||
{{Optimal ET sequence|legend=1| 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.3452 cents | |||
==== Silver ==== | |||
{{See also| Chromatic pairs #Silver }} | |||
Silver can be described as the 10 & 27 temperament in the 2.5.7.13.17 subgroup. | |||
[[Subgroup]]: 2.5.7.13.17 | |||
[[Comma list]]: [[170/169]], [[640/637]], [[5525/5488]] | |||
{{Mapping|legend=2| 1 5 4 4 2 | 0 -9 -4 -1 7 }} | |||
{{Mapping|legend=3| 1 0 -4 0 0 3 9 | 0 0 9 4 0 1 -7 }} | |||
: [[gencom]]: [2 13/8; 170/169 640/637 5525/5488] | |||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~13/8 = 842.711 | |||
{{Optimal ET sequence|legend=1| 7, 10, 17, 27, 37, 47, 84, 131, 178e, 309cde, 487bcdee }} | |||
[[Tp tuning #T2 tuning|RMS error]]: 0.5886 cents | |||
=== Pakkanen (rank 3) === | === Pakkanen (rank 3) === | ||