72edo: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
m →Regular temperament properties: cleanup |
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| Line 1,005: | Line 1,005: | ||
| 2.3.5 | | 2.3.5 | ||
| 15625/15552, 531441/524288 | | 15625/15552, 531441/524288 | ||
| | | {{mapping| 72 114 167 }} | ||
| +0.839 | | +0.839 | ||
| 0.594 | | 0.594 | ||
| Line 1,012: | Line 1,012: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 225/224, 1029/1024, 4375/4374 | | 225/224, 1029/1024, 4375/4374 | ||
| | | {{mapping| 72 114 167 202 }} | ||
| +0.822 | | +0.822 | ||
| 0.515 | | 0.515 | ||
| Line 1,019: | Line 1,019: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 225/224, 243/242, 385/384, 4000/3993 | | 225/224, 243/242, 385/384, 4000/3993 | ||
| | | {{mapping| 72 114 167 202 249 }} | ||
| +0.734 | | +0.734 | ||
| 0.493 | | 0.493 | ||
| Line 1,026: | Line 1,026: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 169/168, 225/224, 243/242, 325/324, 385/384 | | 169/168, 225/224, 243/242, 325/324, 385/384 | ||
| | | {{mapping| 72 114 167 202 249 266 }} | ||
| +0.936 | | +0.936 | ||
| 0.638 | | 0.638 | ||
| Line 1,033: | Line 1,033: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 169/168, 221/220, 225/224, 243/242, 273/272, 325/324 | | 169/168, 221/220, 225/224, 243/242, 273/272, 325/324 | ||
| | | {{mapping| 72 114 167 202 249 266 294 }} | ||
| +0.975 | | +0.975 | ||
| 0.599 | | 0.599 | ||
| 3.59 | | 3.59 | ||
|} | |} | ||
* 72et has lower relative errors than any previous equal temperaments in the 7-, 11-, 13-, 17-, and 19-limit. The next equal temperaments doing better in these subgroups are [[99edo|99]], [[270edo|270]], [[224edo|224]], [[494edo|494]], and [[217edo|217]], respectively. | * 72et has lower relative errors than any previous equal temperaments in the 7-, 11-, 13-, 17-, and 19-limit. The next equal temperaments doing better in these subgroups are [[99edo|99]], [[270edo|270]], [[224edo|224]], [[494edo|494]], and [[217edo|217]], respectively. | ||