Garischismic clan: Difference between revisions
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+name and 2.3.7.11 extension |
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* ''[[Satin]]'', {2100875/2097152, 4802000/4782969} → [[Canousmic temperaments #Satin]] | * ''[[Satin]]'', {2100875/2097152, 4802000/4782969} → [[Canousmic temperaments #Satin]] | ||
== | == Gary == | ||
Subgroup: 2.3.7 | Subgroup: 2.3.7 | ||
| Line 23: | Line 23: | ||
[[Badness]]: 0.0135 | [[Badness]]: 0.0135 | ||
=== 2.3.7.11 === | |||
Subgroup: 2.3.7.11 | |||
Comma list: 19712/19683, 41503/41472 | |||
Sval mapping: [{{val| 1 2 -3 13 }}, {{val| 0 -1 14 -23 }}] | |||
POTE generator: ~3/2 = 702.2292 | |||
Vals: {{Val list| 12e, 41, 94, 135, 716, 851, 986, 1121, 1256 }} | |||
Badness: 0.00731 | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
Revision as of 13:40, 23 July 2021
This clan of temperaments tempers out the garischisma, [25 -14 0 -1⟩ = 33554432/33480783, and includes these:
- Garibaldi, {225/224, 3125/3087} → Schismatic family #Garibaldi
- Newt, {2401/2400, 33554432/33480783} → Breedsmic temperaments #Newt
- Quintagar, {3136/3125, 33554432/33480783} → Hemimean clan #Quintagar
- Vulture, {4375/4374, 33554432/33480783} → Vulture family #Vulture
- Trident, {6144/6125, 14348907/14336000} → Tricot family #Trident
- Cotoneum, {10976/10935, 823543/819200} → Hemimage temperaments #Cotoneum
- Paramity, {65625/65536, 1600000/1594323} → Amity family #Paramity
- Garistearn, {118098/117649, 33554432/33480783} → Stearnsmic clan #Garistearn
- Sextile, {250047/250000, 33554432/33480783} → Landscape microtemperaments #Sextile
- Satin, {2100875/2097152, 4802000/4782969} → Canousmic temperaments #Satin
Gary
Subgroup: 2.3.7
Comma list: 33554432/33480783
Sval mapping: [⟨1 2 -3], ⟨0 -1 14]]
POTE generator: ~3/2 = 702.2079
Badness: 0.0135
2.3.7.11
Subgroup: 2.3.7.11
Comma list: 19712/19683, 41503/41472
Sval mapping: [⟨1 2 -3 13], ⟨0 -1 14 -23]]
POTE generator: ~3/2 = 702.2292
Vals: Template:Val list
Badness: 0.00731