Chromatic pairs: Difference between revisions

Lériendil (talk | contribs)
ported Barton to The Jacobins
Lériendil (talk | contribs)
ported Huntington and Silver over
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== Huntington ==
== Huntington ==
Huntington may be described as the 10 & 27 temperament in the 2.5.7.13 subgroup.
{{See also| No-threes subgroup temperaments #Huntington }}
 
[[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


[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]
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== Silver ==
== Silver ==
Silver can be described as the 10 & 27 temperament in the 2.5.7.13.17 subgroup.
{{See also | No-threes subgroup temperaments #Silver }}
 
[[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


[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]