Revision as of 09:08, 11 May 2021

The quince clan tempers out quince, the no-threes comma [-15 0 -2 7⟩ = 823543/819200. Quince temperaments include:

Casablanca ({126/125, 589824/588245})
Miracle ({225/224, 1029/1024})
Quincy ({4375/4374, 823543/819200})
Birds ({3136/3125, 823543/819200})
Octowerck ({321489/320000, 420175/419904})

No-threes Quince

Subgroup: 2.5.7

Comma list: 823543/819200

Sval mapping: [⟨1 3 3], ⟨0 -7 -2]]

Mapping generators: ~2, ~343/320

Gencom mapping: [⟨1 0 3 3], ⟨0 0 -7 -2]]

Gencom: [2 343/320; 823543/819200]

POTE generator: ~343/320 = 116.291

@@ Line 5: / Line 5: @@
 * [[31-comma temperaments #Birds|Birds]] ({3136/3125, 823543/819200})
 * [[Varunismic temperaments #Octowerck|Octowerck]] ({321489/320000, 420175/419904})
+= No-threes Quince =
+Subgroup: 2.5.7
+[[Comma list]]: 823543/819200
+[[Sval]] [[mapping]]: [{{val| 1 3 3 }}, {{val| 0 -7 -2 }}]
+Mapping generators: ~2, ~343/320
+Gencom mapping: [{{val| 1 0 3 3 }}, {{val| 0 0 -7 -2 }}]
+[[Gencom]]: [2 343/320; 823543/819200]
+[[POTE generator]]: ~343/320 = 116.291
+{{Val list|legend=1| 10, 21, 31, 134, 165, 196, 227, 485c, 712c, 1197cc }}
 [[Category:Regular temperament theory]]