Canousmic temperaments: Difference between revisions
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== Satin == | == Satin == | ||
The satin temperament (94&217) uses 11/10 as a generator, three of them gives 4/3, and tempers out both the [[rainy comma]] and the canousma. | |||
=== 5-limit === | === 5-limit === | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
| Line 26: | Line 27: | ||
{{Val list|legend=1| 94, 217, 528, 745, 1273 }} | {{Val list|legend=1| 94, 217, 528, 745, 1273 }} | ||
[[Badness]]: 2. | [[Badness]]: 2.853049 | ||
=== 7-limit === | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 40: | Line 40: | ||
{{Val list|legend=1| 94, 217, 311, 839, 1150 }} | {{Val list|legend=1| 94, 217, 311, 839, 1150 }} | ||
[[Badness]]: 0. | [[Badness]]: 0.197207 | ||
=== 11-limit === | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 54: | Line 53: | ||
Vals: {{Val list| 94, 217, 311 }} | Vals: {{Val list| 94, 217, 311 }} | ||
Badness: 0. | Badness: 0.057972 | ||
=== 13-limit === | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 68: | Line 66: | ||
Vals: {{Val list| 94, 217, 311, 839e, 1150e }} | Vals: {{Val list| 94, 217, 311, 839e, 1150e }} | ||
Badness: 0. | Badness: 0.030316 | ||
=== 17-limit === | === 17-limit === | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
| Line 82: | Line 79: | ||
Vals: {{Val list| 94, 217, 311, 839e, 1150eg }} | Vals: {{Val list| 94, 217, 311, 839e, 1150eg }} | ||
Badness: 0. | Badness: 0.020007 | ||
=== 19-limit === | === 19-limit === | ||
Subgroup: 2.3.5.7.11.13.17.19 | Subgroup: 2.3.5.7.11.13.17.19 | ||
| Line 96: | Line 92: | ||
Vals: {{Val list| 94, 217, 311, 839e, 1150eg }} | Vals: {{Val list| 94, 217, 311, 839e, 1150eg }} | ||
Badness: 0. | Badness: 0.014479 | ||
=== 23-limit === | === 23-limit === | ||
Subgroup: 2.3.5.7.11.13.17.19.23 | Subgroup: 2.3.5.7.11.13.17.19.23 | ||
| Line 110: | Line 105: | ||
Vals: {{Val list| 94, 217, 311, 839ei, 1150egi }} | Vals: {{Val list| 94, 217, 311, 839ei, 1150egi }} | ||
Badness: 0. | Badness: 0.012158 | ||
== Superlimmal == | == Superlimmal == | ||
The superlimmal temperament uses an ever slightly sharpened [[27/25|large limma]] as the generator, nine exceed the octave by [[126/125]]. It can be described as 80 & 311. It gets all the primes up to 29 reasonably covered, but still acceptible just as a 13-limit microtemperament, judging from its comma basis. The 80-tone [[MOS scale]] is presumably the place to start, and a 151-tone MOS is possible. | The superlimmal temperament uses an ever slightly sharpened [[27/25|large limma]] as the generator, nine exceed the octave by [[126/125]]. It can be described as 80 & 311. It gets all the primes up to 29 reasonably covered, but still acceptible just as a 13-limit microtemperament, judging from its comma basis. The 80-tone [[MOS scale]] is presumably the place to start, and a 151-tone MOS is possible. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 127: | Line 122: | ||
{{Val list|legend=1| 80, 231, 311, 1324b, 1635b }} | {{Val list|legend=1| 80, 231, 311, 1324b, 1635b }} | ||
[[Badness]]: 0. | [[Badness]]: 0.252387 | ||
=== 11-limit === | === 11-limit === | ||
| Line 140: | Line 135: | ||
Vals: {{val list| 80, 231, 311, 1013e, 1324be }} | Vals: {{val list| 80, 231, 311, 1013e, 1324be }} | ||
Badness: 0. | Badness: 0.060667 | ||
=== 13-limit === | === 13-limit === | ||
| Line 153: | Line 148: | ||
Vals: {{val list| 80, 231, 311, 702, 1013e }} | Vals: {{val list| 80, 231, 311, 702, 1013e }} | ||
Badness: 0. | Badness: 0.039017 | ||
=== 17-limit === | === 17-limit === | ||
| Line 166: | Line 161: | ||
Vals: {{val list| 80, 231, 311 }} | Vals: {{val list| 80, 231, 311 }} | ||
Badness: 0. | Badness: 0.030077 | ||
=== 19-limit === | === 19-limit === | ||
| Line 179: | Line 174: | ||
Vals: {{val list| 80, 231, 311 }} | Vals: {{val list| 80, 231, 311 }} | ||
Badness: 0. | Badness: 0.020460 | ||
=== 23-limit === | === 23-limit === | ||
| Line 192: | Line 187: | ||
Vals: {{val list| 80, 231, 311 }} | Vals: {{val list| 80, 231, 311 }} | ||
Badness: 0. | Badness: 0.016146 | ||
=== 29-limit === | === 29-limit === | ||
| Line 205: | Line 200: | ||
Vals: {{val list| 80, 231, 311 }} | Vals: {{val list| 80, 231, 311 }} | ||
Badness: 0. | Badness: 0.013054 | ||
== Semiluna == | == Semiluna == | ||
| Line 220: | Line 215: | ||
{{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 | ||
| Line 234: | Line 228: | ||
Vals: {{Val list| 56d, 118, 292, 410 }} | Vals: {{Val list| 56d, 118, 292, 410 }} | ||
Badness: 0. | Badness: 0.067783 | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||