Revision as of 21:59, 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})
Cotoneum ({10976/10935, 823543/819200})

No-threes Quince

Two generators make an 8/7; five generators make a 7/5. This is the no-threes version of miracle.

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 8: / Line 8: @@
 = No-threes Quince =
+Two generators make an [[8/7]]; five generators make a [[7/5]]. This is the no-threes version of miracle.
 Subgroup: 2.5.7