Quintile family: Difference between revisions
m Removing from Category:Regular temperament theory using Cat-a-lot |
→Hemipental: +an alternative 13-limit extension since I'm not convinced by the original one. Also normalize generators |
||
| Line 68: | Line 68: | ||
Mapping generators: ~147/128, ~140/81 | Mapping generators: ~147/128, ~140/81 | ||
[[POTE generator]]: ~ | [[POTE generator]]: ~140/81 = 950.6536 (~1029/1024 = 9.3464) | ||
{{Val list|legend=1| | {{Val list|legend=1| 125, 130, 255, 385 }} | ||
[[Badness]]: 0.104163 | [[Badness]]: 0.104163 | ||
| Line 81: | Line 81: | ||
Mapping: [{{val| 5 0 -28 18 -54 }}, {{val| 0 2 10 -1 18 }}] | Mapping: [{{val| 5 0 -28 18 -54 }}, {{val| 0 2 10 -1 18 }}] | ||
POTE generator: ~ | POTE generator: ~140/81 = 950.6341 (~176/175 = 9.3659) | ||
Optimal GPV sequence: {{Val list| | Optimal GPV sequence: {{Val list| 125, 130, 255, 385, 640 }} | ||
Badness: 0.047624 | Badness: 0.047624 | ||
=== | ==== Hemipent ==== | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 94: | Line 94: | ||
Mapping: [{{val| 5 0 -28 18 -54 34 }}, {{val| 0 2 10 -1 18 -13 }}] | Mapping: [{{val| 5 0 -28 18 -54 34 }}, {{val| 0 2 10 -1 18 -13 }}] | ||
POTE generator: ~ | POTE generator: ~140/81 = 950.6677 (~144/143 = 9.3323) | ||
Optimal GPV sequence: {{Val list| | Optimal GPV sequence: {{Val list| 125, 130, 255, 385, 515 }} | ||
Badness: 0.041043 | Badness: 0.041043 | ||
==== Hemipentalis ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 351/350, 540/539, 676/675, 124215/123904 | |||
Mapping: [{{val| 5 0 -28 18 -54 34 }}, {{val| 0 2 10 -1 18 13 }}] | |||
POTE generator: ~26/15 = 950.6593 (~176/175 = 9.3407) | |||
Optimal GPV sequence: {{Val list| 125f, 130, 255f, 385f }} | |||
Badness: 0.033542 | |||
== Decal == | == Decal == | ||