Chromatic pairs: Difference between revisions

removed duplicates w/ orgonia
dealt with the 2.9 temps
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== Baldy ==
== Baldy ==
{{See also| Subgroup temperaments #Baldy }}
{{See also| Subgroup temperaments #Baldy }}
Baldy is every other step of [[garibaldi]], without the mapping of prime 11. It can be described as the 6 & 35 temperament.
[[Subgroup]]: 2.9.5.7.13
[[Comma list]]: [[225/224]], [[325/324]], [[640/637]]
{{Mapping|legend=2| 1 0 15 25 -28 | 0 1 -4 -7 10 }}
{{Mapping|legend=3| 1 3/2 3 4 0 2 | 0 1/2 -4 -7 0 10 }}
: [[gencom]]: [2 9/8; 225/224 325/324 640/637]
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~9/8 = 204.090
{{Optimal ET sequence|legend=1| 6, 11, 17, 23, 29, 35, 41, 47, 100, 147, 488cd, 635cd }}
[[Tp tuning #T2 tuning|RMS error]]: 0.5999 cents


[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]
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* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale
* [[Baldy17]] – 17-tone chromatic scale


== Guanyintet ==
== Guanyintet ==
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== Joan ==
== Joan ==
Joan is related to [[casablanca]] as well as to [[orwell]].
{{See also| Subgroup temperaments #Joan }}
 
[[Subgroup]]: 2.9.7.11
 
[[Comma list]]: 99/98, 9317/9216
 
{{Mapping|legend=2| 1 0 1 3 | 0 7 4 1 }}
 
{{Mapping|legend=3| 1 0 0 1 3 | 0 7/2 0 4 1 }}
 
: [[gencom]]: [2 11/8; 99/98 9317/9216]
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~11/8 = 542.672 cents
 
{{Optimal ET sequence|legend=1| 11, 20, 31, 42, 115bd, 157bd }}
 
[[Tp tuning #T2 tuning|RMS error]]: 1.424 cents


Scales:  
Scales:  
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== Glacial ==
== Glacial ==
[[Subgroup]]: 2.9.5.11.13
{{See also| Subgroup temperaments #Glacial }}
 
[[Comma list]]: 45/44, 65/64, 81/80
 
{{Mapping|legend=2| 1 0 -4 -6 10 | 0 1 2 3 -2 }}
 
{{Mapping|legend=3| 1 3/2 2 0 3 4 | 0 1/2 2 0 3 -2 }}
 
: [[gencom]]: [2 9/8; 45/44 65/64 81/80]
 
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~9/8 = 186.151
 
{{Optimal ET sequence|legend=1| 6, 13, 45be, 58bce, 71bce, 84bce }}
 
[[Tp tuning #T2 tuning|RMS error]]: 2.887 cents


Scales:  
Scales: