Luna family: Difference between revisions
Cleanup |
No edit summary |
||
| Line 2: | Line 2: | ||
= Luna = | = Luna = | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
| Line 13: | Line 12: | ||
{{Val list|legend=1| 25, 31, 56, 87, 118, 323, 441, 559, 1000, 1559 }} | {{Val list|legend=1| 25, 31, 56, 87, 118, 323, 441, 559, 1000, 1559 }} | ||
[[Badness]]: 0. | [[Badness]]: 0.020576 | ||
= Hemithirds = | = Hemithirds = | ||
| Line 39: | Line 38: | ||
{{Val list|legend=1| 31, 87, 118 }} | {{Val list|legend=1| 31, 87, 118 }} | ||
[[Badness]]: 0. | [[Badness]]: 0.044284 | ||
== 11-limit == | == 11-limit == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 56: | Line 54: | ||
: Eigenmonzos: 2, 11/7 | : Eigenmonzos: 2, 11/7 | ||
{{Val list | Vals: {{Val list| 31, 87, 118 }} | ||
Badness: 0. | Badness: 0.019003 | ||
== 13-limit == | == 13-limit == | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 70: | Line 67: | ||
POTE generator: ~28/25 = 193.166 | POTE generator: ~28/25 = 193.166 | ||
{{Val list | Vals: {{Val list| 31, 56, 87, 118, 205d }} | ||
Badness: 0. | Badness: 0.021738 | ||
= Lunatic = | = Lunatic = | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
[[Comma list]]: 4375/4374, 274877906944/274658203125 | [[Comma list]]: 4375/4374, 274877906944/274658203125 | ||
[[Mapping]]: [{{val| 1 4 2 | [[Mapping]]: [{{val| 1 4 2 21 }}, {{val| 0 -15 2 -113 }}] | ||
{{Multival|legend=1| 15 -2 113 -38 137 268 }} | {{Multival|legend=1| 15 -2 113 -38 137 268 }} | ||
| Line 88: | Line 84: | ||
{{Val list|legend=1| 87d, 118, 323, 441, 1205, 1646 }} | {{Val list|legend=1| 87d, 118, 323, 441, 1205, 1646 }} | ||
[[Badness]]: 0. | [[Badness]]: 0.037966 | ||
== 11-limit == | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 4375/4374, 12005/11979, 172032/171875 | |||
Mapping: [{{val| 1 4 2 21 14 }}, {{val| 0 -15 2 -113 -140 }}] | |||
POTE generator: ~352/315 = 193.200 | |||
Vals: {{Val list| 118, 323e, 441, 559, 1000e }} | |||
Badness: 0.058588 | |||
= Semiluna = | = Semiluna = | ||
{{see also| Canousmic temperaments #Semiluna }} | {{see also| Canousmic temperaments #Semiluna }} | ||
| Line 99: | Line 107: | ||
[[Mapping]]: [{{val| 2 8 4 23 }}, {{val| 0 -15 2 -54 }}] | [[Mapping]]: [{{val| 2 8 4 23 }}, {{val| 0 -15 2 -54 }}] | ||
{{Multival|legend=1| 30 -4 108 -76 87 262 }} | |||
[[POTE generator]]: ~2187/1960 = 193.1725 | [[POTE generator]]: ~2187/1960 = 193.1725 | ||
| Line 104: | Line 114: | ||
{{Val list|legend=1| 56d, 118, 292, 410 }} | {{Val list|legend=1| 56d, 118, 292, 410 }} | ||
[[Badness]]: 0. | [[Badness]]: 0.192167 | ||
== 11-limit == | == 11-limit == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Comma list: 5632/5625, 9801/9800, 14641/14580 | Comma list: 5632/5625, 9801/9800, 14641/14580 | ||
Mapping: [{{val| 2 8 4 23 14 }}, {{val| 0 -15 2 -54 -22 }}] | |||
POTE generator: ~121/108 = 193.1732 | POTE generator: ~121/108 = 193.1732 | ||
Vals: {{Val list| 56d, 118, 292, 410 }} | |||
{{Val list | |||
Badness: 0. | Badness: 0.067783 | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||