243edo: Difference between revisions
→Regular temperament properties: corrections & additions |
→Regular temperament properties: + more data |
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| Line 47: | Line 47: | ||
| 0.192 | | 0.192 | ||
| 3.90 | | 3.90 | ||
|- | |||
| 2.3.5.7.13 | |||
| 625/624, 729/728, 2401/2400, 10985/10976 | |||
| {{Mapping| 243 385 564 682 899 }} | |||
| +0.309 | |||
| 0.173 | |||
| 3.50 | |||
|- | |||
| 2.3.5.7.13.17 | |||
| 625/624, 729/728, 833/832, 1225/1224, 10985/10976 | |||
| {{Mapping| 243 385 564 682 899 993 }} | |||
| +0.309 | |||
| 0.158 | |||
| 3.20 | |||
|- | |||
| 2.3.5.7.13.17.19 | |||
| 513/512, 625/624, 729/728, 833/832, 1225/1224, 1445/1444 | |||
| {{Mapping| 243 385 564 682 899 993 1032 }} | |||
| +0.306 | |||
| 0.146 | |||
| 2.96 | |||
|- | |||
| 2.3.5.7.13.17.19.23 | |||
| 513/512, 625/624, 729/728, 833/832, 875/874, 897/896, 1105/1104 | |||
| {{Mapping| 243 385 564 682 899 993 1032 1099 }} | |||
| +0.298 | |||
| 0.138 | |||
| 2.80 | |||
|- style="border-top: double;" | |||
| 2.3.5.7.11 | |||
| 385/384, 1375/1372, 4375/4374, 14641/14580 | |||
| {{Mapping| 243 385 564 682 840 }} (243e) | |||
| +0.437 | |||
| 0.295 | |||
| 5.97 | |||
|- | |||
| 2.3.5.7.11.13 | |||
| 385/384, 625/624, 729/728, 847/845, 1716/1715 | |||
| {{Mapping| 243 385 564 682 840 899 }} (243e) | |||
| +0.410 | |||
| 0.276 | |||
| 5.59 | |||
|} | |} | ||
* 243et (243e val) has lower absolute errors than any previous equal temperaments in the 19-, 23-limit, and somewhat beyond, despite inconsistency in the corresponding odd limits. In both the 19- and 23-limit, it beats [[217edo|217]] and is only bettered by [[270edo|270et]]. | * 243et (243e val) has lower absolute errors than any previous equal temperaments in the 19-, 23-limit, and somewhat beyond, despite inconsistency in the corresponding odd limits. In both the 19- and 23-limit, it beats [[217edo|217]] and is only bettered by [[270edo|270et]]. | ||