37edo: Difference between revisions
m →Intervals: add missing very accurate interpretations |
m →Regular temperament properties: cleanup |
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" | Subgroup | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
| Line 589: | Line 589: | ||
| 2.5 | | 2.5 | ||
| {{monzo| 86 -37 }} | | {{monzo| 86 -37 }} | ||
| | | {{mapping| 37 86 }} | ||
| -0.619 | | -0.619 | ||
| 0.619 | | 0.619 | ||
| Line 596: | Line 596: | ||
| 2.5.7 | | 2.5.7 | ||
| 3136/3125, 4194304/4117715 | | 3136/3125, 4194304/4117715 | ||
| | | {{mapping| 37 86 104 }} | ||
| -0.905 | | -0.905 | ||
| 0.647 | | 0.647 | ||
| Line 603: | Line 603: | ||
| 2.5.7.11 | | 2.5.7.11 | ||
| 176/175, 1375/1372, 65536/65219 | | 176/175, 1375/1372, 65536/65219 | ||
| | | {{mapping| 37 86 104 128 }} | ||
| -0.681 | | -0.681 | ||
| 0.681 | | 0.681 | ||
| Line 610: | Line 610: | ||
| 2.5.7.11.13 | | 2.5.7.11.13 | ||
| 176/175, 640/637, 847/845, 1375/1372 | | 176/175, 640/637, 847/845, 1375/1372 | ||
| | | {{mapping| 37 86 104 128 137 }} | ||
| -0.692 | | -0.692 | ||
| 0.610 | | 0.610 | ||
| 1.88 | | 1.88 | ||
|} | |} | ||
* 37et is most prominent in the no-3 11-, 13-, 17-, 19- and 23-limit subgroups. The next equal temperaments doing better in these subgroups are 109, 581, 103, 124 and 93, respectively. | |||
* 37et is most prominent in the no-3 11-, 13-, 17-, 19- and 23-limit subgroups. The next | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
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|- | |- | ||
| 6\37 | | 6\37 | ||
| colspan="2" | [[Didacus]] / [[ | | colspan="2" | [[Didacus]] / [[roulette]] | ||
|- | |- | ||
| 7\37 | | 7\37 | ||
| [[ | | [[Shoe]] / [[semaja]] | ||
| [[ | | [[Shoe]] / [[laconic]] / [[gorgo]] | ||
|- | |- | ||
| 8\37 | | 8\37 | ||
| Line 660: | Line 659: | ||
| 9\37 | | 9\37 | ||
| | | | ||
| [[ | | [[Gariberttet]] | ||
|- | |- | ||
| 10\37 | | 10\37 | ||
| Line 683: | Line 682: | ||
|- | |- | ||
| 15\37 | | 15\37 | ||
| [[ | | [[Ultrapyth]], [[oceanfront]] | ||
| | | | ||
|- | |- | ||