No-threes subgroup temperaments: Difference between revisions

Lériendil (talk | contribs)
Lériendil (talk | contribs)
ported Huntington and Silver from Chromatic pairs
Line 178: Line 178:


{{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) ===