Catalog of rank-4 temperaments: Difference between revisions
+ancient from keenanismic family, +comma list for each temp |
Edo lists reviewed (1/2) |
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Generators: ~2, ~3, ~5, ~7 | Generators: ~2, ~3, ~5, ~7 | ||
{{Val list|legend=1| 12, 31, 41 | {{Val list|legend=1| 10, 12, 15, 19e, 26, 27e, 31, 41, 58, 72, 118, 130, 190, 248, 289, 320, 609d }} | ||
=== Commas 364/363, 441/440 === | === Commas 364/363, 441/440 === | ||
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* [[13-odd-limit]] | * [[13-odd-limit]] | ||
: [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 5/3 0 1/3 -1/3 -1/3 1/3 }}, {{monzo| 1/6 0 5/6 2/3 -5/6 1/3 }}, {{monzo| 0 0 0 1 0 0 }}, {{monzo| 1/6 0 -1/6 2/3 1/6 1/3 }}, {{monzo| 0 0 0 0 0 1 }}] | : [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 5/3 0 1/3 -1/3 -1/3 1/3 }}, {{monzo| 1/6 0 5/6 2/3 -5/6 1/3 }}, {{monzo| 0 0 0 1 0 0 }}, {{monzo| 1/6 0 -1/6 2/3 1/6 1/3 }}, {{monzo| 0 0 0 0 0 1 }}] | ||
: | : [[Eigenmonzo]]s: 2, 11/10, 8/7, 16/13 | ||
* [[15-odd-limit]] | * [[15-odd-limit]] | ||
: [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 5/4 1/4 1/4 -1/4 -1/4 1/4 }}, {{monzo| 5/4 -3/4 5/4 -1/4 -1/4 1/4 }}, {{monzo| 17/8 -11/8 5/8 -1/8 3/8 1/8 }}, {{monzo| 5/2 -3/2 1/2 -1/2 1/2 1/2 }}, {{monzo| 17/8 -11/8 5/8 -9/8 3/8 9/8 }}] | : [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 5/4 1/4 1/4 -1/4 -1/4 1/4 }}, {{monzo| 5/4 -3/4 5/4 -1/4 -1/4 1/4 }}, {{monzo| 17/8 -11/8 5/8 -1/8 3/8 1/8 }}, {{monzo| 5/2 -3/2 1/2 -1/2 1/2 1/2 }}, {{monzo| 17/8 -11/8 5/8 -9/8 3/8 9/8 }}] | ||
: | : [[Eigenmonzo]]s: 2, 14/13, 6/5, 11/9 | ||
{{Val list|legend=1| 15, | {{Val list|legend=1| 12f, 14cf, 15, 17c, 26, 29, 31f, 41, 46, 58, 72, 87, 130, 217, 289 }} | ||
=== Commas 351/350, 441/440 === | === Commas 351/350, 441/440 === | ||
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Generators: ~2, ~3, ~5, ~7 | Generators: ~2, ~3, ~5, ~7 | ||
{{Val list|legend=1| 26, 31, 46, 58, 72, 103, 130 }} | {{Val list|legend=1| 12f, 14cf, 19e, 26, 27e, 31, 45ef, 46, 58, 72, 103, 130, 233, 279, 409, 512bf, 642bf }} | ||
=== Commas 196/195, 352/351 === | === Commas 196/195, 352/351 === | ||
| Line 54: | Line 54: | ||
Generators: ~2, ~3, ~5, ~7 | Generators: ~2, ~3, ~5, ~7 | ||
{{Val list|legend=1| 29, 31, 41, 46, 58, | {{Val list|legend=1| 10, 12f, 17c, 19e, 27e, 29, 31, 41, 46, 58, 87, 118, 145, 232 }} | ||
=== Commas 441/440, 847/845 === | === Commas 441/440, 847/845 === | ||
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Generators: ~2, ~3, ~5, ~13/11 | Generators: ~2, ~3, ~5, ~13/11 | ||
{{Val list|legend=1| 29, 41, 46, 58, 87, 103, 149 }} | {{Val list|legend=1| 12f, 16, 17c, 25e, 29, 41, 46, 58, 87, 103, 145, 149, 161, 190, 248, 438d }} | ||
== Keenanismic (385/384) == | == Keenanismic (385/384) == | ||
| Line 85: | Line 85: | ||
: Eigenmonzos: 2, 3, 7/5, 11/5 | : Eigenmonzos: 2, 3, 7/5, 11/5 | ||
{{Val list|legend=1| 15, 22, 31, 41, | {{Val list|legend=1| 9, 10, 12e, 15, 19, 22, 31, 41, 53, 68, 72, 118, 159, 190, 212, 284, 330e, 402de }} | ||
[[Badness]]: 15.159 × 10<sup>-9</sup> | [[Badness]]: 15.159 × 10<sup>-9</sup> | ||
| Line 108: | Line 108: | ||
: Eigenmonzos: 2, 14/11, 13/10, 4/3 | : Eigenmonzos: 2, 14/11, 13/10, 4/3 | ||
{{Val list|legend=1| | {{Val list|legend=1| 12e, 15, 19, 22f, 26, 31f, 41, 46, 53, 72, 87, 125f, 140, 159, 212, 299, 371df, 465cef, 677cdeeff, 764cdeeff }} | ||
[[Badness]]: 2.206 × 10<sup>-6</sup> | [[Badness]]: 2.206 × 10<sup>-6</sup> | ||
| Line 121: | Line 121: | ||
[[Transpose]]: [2 3 5 7 385/35 625/48] | [[Transpose]]: [2 3 5 7 385/35 625/48] | ||
{{Val list|legend=1| | {{Val list|legend=1| 15, 19, 22, 31, 50, 53, 72, 87, 103, 140, 159, 190, 243e, 315ef, 330e, 402def }} | ||
[[Badness]]: 2.573 × 10<sup>-6</sup> | [[Badness]]: 2.573 × 10<sup>-6</sup> | ||
| Line 134: | Line 134: | ||
Generators: ~2, ~3, ~5, ~7 | Generators: ~2, ~3, ~5, ~7 | ||
{{Val list|legend=1| 19, 22, 26, 31, 46 | {{Val list|legend=1| 19, 22, 26, 31, 46, 53, 72, 103, 149, 221ef, 324bdef, 473bdeeff, 495bdeefff, 545bddeefff, 598bcdeeefff }} | ||
=== Commas 352/351, 385/384 === | === Commas 352/351, 385/384 === | ||
| Line 145: | Line 145: | ||
Generators: ~2, ~3, ~5, ~7 | Generators: ~2, ~3, ~5, ~7 | ||
{{Val list|legend=1| | {{Val list|legend=1| 22, 31, 41, 46, 53, 77, 87, 118, 140, 258e, 461e }} | ||
=== Commas 364/363, 385/384 === | === Commas 364/363, 385/384 === | ||
| Line 156: | Line 156: | ||
Generators: ~2, ~3, ~5, ~7 | Generators: ~2, ~3, ~5, ~7 | ||
{{Val list|legend=1| 9, 15, 22, 26, 41, 46, | {{Val list|legend=1| 9, 15, 22, 26, 31f, 37, 41, 46, 63, 72, 87, 159 }} | ||
=== Commas 385/384, 847/845 === | === Commas 385/384, 847/845 === | ||
| Line 167: | Line 167: | ||
Generators: ~2, ~3, ~5, ~13/11 | Generators: ~2, ~3, ~5, ~13/11 | ||
{{Val list|legend=1| | {{Val list|legend=1| 34, 37, 41, 46, 53, 87, 103, 140, 190, 243e, 330e, 520de, 573dee }} | ||
== Swetismic (540/539) == | == Swetismic (540/539) == | ||