53edo: Difference between revisions
Copypaste the same source from 612edo |
m →Regular temperament properties: cleanup |
||
| Line 728: | Line 728: | ||
| 2.3 | | 2.3 | ||
| {{monzo| -84 53 }} | | {{monzo| -84 53 }} | ||
| | | {{mapping| 53 84 }} | ||
| +0.022 | | +0.022 | ||
| 0.022 | | 0.022 | ||
| Line 735: | Line 735: | ||
| 2.3.5 | | 2.3.5 | ||
| 15625/15552, 32805/32768 | | 15625/15552, 32805/32768 | ||
| | | {{mapping| 53 84 123 }} | ||
| +0.216 | | +0.216 | ||
| 0.276 | | 0.276 | ||
| Line 742: | Line 742: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 225/224, 1728/1715, 3125/3087 | | 225/224, 1728/1715, 3125/3087 | ||
| | | {{mapping| 53 84 123 149 }} | ||
| −0.262 | | −0.262 | ||
| 0.861 | | 0.861 | ||
| Line 749: | Line 749: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 99/98, 121/120, 176/175, 2200/2187 | | 99/98, 121/120, 176/175, 2200/2187 | ||
| | | {{mapping| 53 84 123 149 183 }} | ||
| +0.248 | | +0.248 | ||
| 1.279 | | 1.279 | ||
| Line 756: | Line 756: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 99/98, 121/120, 169/168, 176/175, 275/273 | | 99/98, 121/120, 169/168, 176/175, 275/273 | ||
| | | {{mapping| 53 84 123 149 183 196 }} | ||
| +0.332 | | +0.332 | ||
| 1.183 | | 1.183 | ||
| Line 763: | Line 763: | ||
| 2.3.5.7.11.13.19 | | 2.3.5.7.11.13.19 | ||
| 99/98, 121/120, 169/168, 176/175, 209/208, 275/273 | | 99/98, 121/120, 169/168, 176/175, 209/208, 275/273 | ||
| | | {{mapping| 53 84 123 149 183 196 225 }} | ||
| +0.391 | | +0.391 | ||
| 1.105 | | 1.105 | ||
| 4.88 | | 4.88 | ||
|} | |} | ||
* 53et is lower in relative error than any previous equal temperaments in the 3-, 5-, and 13-limit. The next equal temperaments doing better in these subgroups are 306, 118, and 58, respectively. It is even more prominent in the 2.3.5.7.13.19 and 2.3.5.7.13.19.23 subgroups, and the next equal temperament doing better in either subgroup is 130. | |||
53et is lower in relative error than any previous equal temperaments in the 3-, 5-, and 13-limit. The next equal temperaments doing better in these subgroups are 306, 118, and 58, respectively. It is even more prominent in the 2.3.5.7.13.19 and 2.3.5.7.13.19.23 subgroups, and the next equal temperament doing better in either subgroup is 130. | |||
=== Commas === | === Commas === | ||
| Line 991: | Line 990: | ||
| 271.70 | | 271.70 | ||
| 7/6 | | 7/6 | ||
| [[ | | [[Orwell]] | ||
|- | |- | ||
| 1 | | 1 | ||
| Line 1,039: | Line 1,038: | ||
| 498.11 | | 498.11 | ||
| 4/3 | | 4/3 | ||
| [[ | | [[Garibaldi]] / [[pontiac]] | ||
|- | |- | ||
|1 | | 1 | ||
| 23\53 | | 23\53 | ||
| 520.75 | | 520.75 | ||
| 4/3 | | 4/3 | ||
| [[ | | [[Mavila]] (53bbcc) | ||
|- | |- | ||
| 1 | | 1 | ||