User:VIxen/Sandbox: Difference between revisions
m name proposal for 58 & 224 & 460 |
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{{Val list|legend=1| 10c, 12de, 44cddeee, 46de, 48, 58, 106, 118, 224, 342, 742, 966, 1084, 1308, 1650, 2392, 2734, 5126bdb, 6776bd }} | {{Val list|legend=1| 10c, 12de, 44cddeee, 46de, 48, 58, 106, 118, 224, 342, 742, 966, 1084, 1308, 1650, 2392, 2734, 5126bdb, 6776bd }} | ||
[[Badness]]: 3. | [[Badness]]: 3.20 × 10<sup>-3</sup> | ||
=== 13-limit === | === 13-limit === | ||
| Line 106: | Line 106: | ||
[[Badness]]: 1.31 × 10<sup>-3</sup> | [[Badness]]: 1.31 × 10<sup>-3</sup> | ||
= Other from the kalismic family = | |||
== Rishi == | |||
Subgroup: 2.3.5.7.11 | |||
[[Comma list]]: 9801/9800, 572145834917888/571919811374025 | |||
[[Mapping]]: [{{val| 2 0 3 -10 -4 }}, {{val| 0 1 2 4 4 }}, {{val| 0 0 8 -5 3 }}] | |||
Mapping generators: ~99/70, ~3, ~17364375/14172488 | |||
{{Val list|legend=1| 24, 34d, 58, 150cdee, 208ccddee, 252ccddeee, 262ccdee, 286ccdee, 310cddee, 320ccee, 344cdee, 378ce, 402de, 436, 460, 494, 954, 1448, 1506, 2460, 2954, 7414, 9874, 12828e }} | |||
[[Badness]]: 2.10 × 10<sup>-3</sup> | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
[[Comma list]]: 9801/9800, 10648/10647, 371293/371250 | |||
[[Mapping]]: [{{val| 2 0 3 -10 -4 2 }}, {{val| 0 1 2 4 4 3 }}, {{val| 0 0 8 -5 3 7 }}] | |||
Mapping generators: ~99/70, ~3, ~364/297 | |||
{{Val list|legend=1| 24, 34d, 58, 150cdeef, 208ccddeeff, 252ccddeeefff, 262ccdeefff, 286ccdeeff, 310cddeeff, 320cceeff, 344cdeef, 378cef, 402def, 436, 460, 494, 954, 1448, 1506, 2460, 2954, 5414, 6920, 7414, 9874, 12828e }} | |||
[[Badness]]: 0.505 × 10<sup>-3</sup> | |||
Revision as of 12:29, 21 June 2022
Wizmic family
These are rank-3 temperaments where the wizma 420175/419904 is tempered out. For the clan of rank-2 temperaments with this comma, see Wizmic microtemperaments.
Wizmic
Subgroup: 2.3.5.7
Comma list: 420175/419904
Mapping: [⟨1 0 3 0], ⟨0 1 4 0], ⟨0 0 -5 2]]
Mapping generators: ~2, ~3, ~648/245
Badness: 0.0864 × 10-3
Gersemi
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 41503/41472
Mapping: [⟨2 0 1 2 6], ⟨0 1 4 0 2], ⟨0 0 -5 2 -3]]
Mapping generators: ~99/70, ~3, ~144/77
Badness: 0.368 × 10-3
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 4096/4095, 9801/9800, 41503/41472
Mapping: [⟨2 0 1 2 6 21], ⟨0 1 4 0 2 -6], ⟨0 0 -5 2 -3 3]]
Mapping generators: ~99/70, ~3, ~144/77
Badness: 0.867 × 10-3
13-limit (ibnsinmic)
Subgroup: 2.3.5.7.11.13
Comma list: 1716/1715, 2080/2079, 17303/17280
Mapping: [⟨2 0 1 2 6 -3], ⟨0 1 4 0 2 1], ⟨0 0 -5 2 -3 4]]
Mapping generators: ~99/70, ~3, ~144/77
Badness: 1.56 × 10-3
Skeetsmic family
These are rank-3 temperaments where the skeetsma is tempered out.
Skeetsmic
Subgroup: 2.3.5.7
Comma list: 14348907/14336000
Mapping: [⟨1 0 0 -14], ⟨0 1 0 15], ⟨0 0 1 -3]]
Mapping generators: ~2, ~3, ~5
Badness: 0.333 × 10-3
Skald
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 1240029/1239040
Mapping: [⟨2 0 1 -28 -25], ⟨0 1 0 15 13], ⟨0 0 1 -3 -2]]
Mapping generators: ~99/70, ~3, ~5
Badness: 3.20 × 10-3
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 9801/9800, 10648/10647, 59535/59488
Mapping: [⟨2 0 1 -31 -27 -22], ⟨0 1 0 15 13 11], ⟨0 0 2 -6 -4 -3]]
Mapping generators: ~99/70, ~3, ~220/117
Badness: 1.31 × 10-3
Other from the kalismic family
Rishi
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 572145834917888/571919811374025
Mapping: [⟨2 0 3 -10 -4], ⟨0 1 2 4 4], ⟨0 0 8 -5 3]]
Mapping generators: ~99/70, ~3, ~17364375/14172488
Badness: 2.10 × 10-3
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 9801/9800, 10648/10647, 371293/371250
Mapping: [⟨2 0 3 -10 -4 2], ⟨0 1 2 4 4 3], ⟨0 0 8 -5 3 7]]
Mapping generators: ~99/70, ~3, ~364/297
Badness: 0.505 × 10-3