Quince clan: Difference between revisions
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* [[31-comma temperaments #Birds|Birds]] ({3136/3125, 823543/819200}) | * [[31-comma temperaments #Birds|Birds]] ({3136/3125, 823543/819200}) | ||
* [[Varunismic temperaments #Octowerck|Octowerck]] ({321489/320000, 420175/419904}) | * [[Varunismic temperaments #Octowerck|Octowerck]] ({321489/320000, 420175/419904}) | ||
* [[Hemimage temperaments #Cotoneum|Cotoneum]] ({10976/10935, 823543/819200}) | |||
= No-threes Quince = | = No-threes Quince = | ||
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[[POTE generator]]: ~343/320 = 116.291 | [[POTE generator]]: ~343/320 = 116.291 | ||
{{Val list|legend=1| 10, 21, 31, 134, 165, 196, 227, | {{Val list|legend=1| 10, 21, 31, 134, 165, 196, 227, 485d, 712d, 1197dd }} | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
Revision as of 13:04, 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
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