Octagar temperaments: Difference between revisions
-quintupole > quintaleap family |
mNo edit summary |
||
| Line 5: | Line 5: | ||
* ''[[Nautilus]]'', {49/48, 250/243} → [[Porcupine family #Nautilus|Porcupine family]] | * ''[[Nautilus]]'', {49/48, 250/243} → [[Porcupine family #Nautilus|Porcupine family]] | ||
* ''[[Injera]]'', {50/49, 81/80} → [[Meantone family #Injera|Meantone family]] | * ''[[Injera]]'', {50/49, 81/80} → [[Meantone family #Injera|Meantone family]] | ||
* | * [[Augene]], {64/63, 126/125} → [[Augmented family #Augene|Augmented family]] | ||
* [[Garibaldi temperament|Garibaldi]], {225/224, 3125/3087} → [[Schismatic family #Garibaldi|Schismatic family]] | * [[Garibaldi temperament|Garibaldi]], {225/224, 3125/3087} → [[Schismatic family #Garibaldi|Schismatic family]] | ||
* ''[[Octacot]]'', {245/243, 2401/2400} → [[Tetracot family #Octacot|Tetracot family]] | * ''[[Octacot]]'', {245/243, 2401/2400} → [[Tetracot family #Octacot|Tetracot family]] | ||
| Line 24: | Line 24: | ||
[[Comma list]]: 4000/3969, 84035/82944 | [[Comma list]]: 4000/3969, 84035/82944 | ||
[[Mapping]]: [{{val|1 2 3 3}}, {{val|0 -17 -28 -8}}] | [[Mapping]]: [{{val| 1 2 3 3 }}, {{val| 0 -17 -28 -8 }}] | ||
{{Multival|legend=1|17 28 8 5 -35 -60}} | {{Multival|legend=1| 17 28 8 5 -35 -60 }} | ||
[[POTE generator]]: ~49/48 = 29.181 | [[POTE generator]]: ~49/48 = 29.181 | ||
| Line 39: | Line 39: | ||
Comma list: 100/99, 245/242, 46656/46585 | Comma list: 100/99, 245/242, 46656/46585 | ||
Mapping: [{{val|1 2 3 3 4}}, {{val|0 -17 -28 -8 -22}}] | Mapping: [{{val| 1 2 3 3 4 }}, {{val| 0 -17 -28 -8 -22 }}] | ||
POTE generator: ~49/48 = 29.180 | POTE generator: ~49/48 = 29.180 | ||
| Line 52: | Line 52: | ||
Comma list: 100/99, 144/143, 245/242, 343/338 | Comma list: 100/99, 144/143, 245/242, 343/338 | ||
Mapping: [{{val|1 2 3 3 4 4}}, {{val|0 -17 -28 -8 -22 -1}}] | Mapping: [{{val| 1 2 3 3 4 4 }}, {{val| 0 -17 -28 -8 -22 -1 }}] | ||
POTE generator: ~49/48 = 29.125 | POTE generator: ~49/48 = 29.125 | ||
| Line 65: | Line 65: | ||
[[Comma list]]: 4000/3969, 420175/419904 | [[Comma list]]: 4000/3969, 420175/419904 | ||
[[Mapping]]: [{{val|1 3 5 4}}, {{val|0 -19 -36 -16}}] | [[Mapping]]: [{{val| 1 3 5 4 }}, {{val| 0 -19 -36 -16 }}] | ||
{{Multival|legend=1|19 36 16 13 -28 -64}} | {{Multival|legend=1| 19 36 16 13 -28 -64 }} | ||
[[POTE generator]]: ~21/20 = 89.282 | [[POTE generator]]: ~21/20 = 89.282 | ||
| Line 80: | Line 80: | ||
Comma list: 540/539, 2200/2187, 4375/4356 | Comma list: 540/539, 2200/2187, 4375/4356 | ||
Mapping: [{{val|1 3 5 4 8}}, {{val|0 -19 -36 -16 -61}}] | Mapping: [{{val| 1 3 5 4 8 }}, {{val| 0 -19 -36 -16 -61 }}] | ||
POTE generator: ~21/20 = 89.291 | POTE generator: ~21/20 = 89.291 | ||
| Line 93: | Line 93: | ||
Comma list: 325/324, 352/351, 540/539, 1575/1573 | Comma list: 325/324, 352/351, 540/539, 1575/1573 | ||
Mapping: [{{val|1 3 5 4 8 4}}, {{val|0 -19 -36 -16 -61 -4}}] | Mapping: [{{val| 1 3 5 4 8 4 }}, {{val| 0 -19 -36 -16 -61 -4 }}] | ||
POTE generator: ~21/20 = 89.286 | POTE generator: ~21/20 = 89.286 | ||