212edo: Difference between revisions
→Theory: full 23-limit isn't too much of a stretch |
→Regular temperament properties: + 23-limit |
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| Line 36: | Line 36: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 2401/2400, 15625/15552, 32805/32768 | | 2401/2400, 15625/15552, 32805/32768 | ||
| {{ | | {{Mapping| 212 336 492 595 }} | ||
| +0.243 | | +0.243 | ||
| 0.244 | | 0.244 | ||
| Line 43: | Line 43: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 385/384, 1375/1372, 6250/6237, 14641/14580 | | 385/384, 1375/1372, 6250/6237, 14641/14580 | ||
| {{ | | {{Mapping| 212 336 492 595 733 }} | ||
| +0.325 | | +0.325 | ||
| 0.273 | | 0.273 | ||
| Line 50: | Line 50: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 325/324, 385/384, 625/624, 1375/1372, 10648/10647 | | 325/324, 385/384, 625/624, 1375/1372, 10648/10647 | ||
| {{ | | {{Mapping| 212 336 492 595 733 784 }} | ||
| +0.396 | | +0.396 | ||
| 0.296 | | 0.296 | ||
| Line 57: | Line 57: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 289/288, 325/324, 385/384, 442/441, 625/624, 10648/10647 | | 289/288, 325/324, 385/384, 442/441, 625/624, 10648/10647 | ||
| {{ | | {{Mapping| 212 336 492 595 733 784 866 }} (212g) | ||
| +0.447 | | +0.447 | ||
| 0.301 | | 0.301 | ||
| Line 64: | Line 64: | ||
| 2.3.5.7.11.13.17.19 | | 2.3.5.7.11.13.17.19 | ||
| 289/288, 325/324, 361/360, 385/384, 442/441, 513/512, 625/624 | | 289/288, 325/324, 361/360, 385/384, 442/441, 513/512, 625/624 | ||
| {{ | | {{Mapping| 212 336 492 595 733 784 866 900 }} (212gh) | ||
| +0.485 | | +0.485 | ||
| 0.299 | | 0.299 | ||
| 5.27 | | 5.27 | ||
|- | |||
| 2.3.5.7.11.13.17.19.23 | |||
| 289/288, 323/322, 325/324, 361/360, 385/384, 442/441, 484/483, 507/506 | |||
| {{Mapping| 212 336 492 595 733 784 866 900 959 }} (212gh) | |||
| +0.430 | |||
| 0.321 | |||
| 5.67 | |||
|} | |} | ||
* 212et (212gh val) has a lower absolute error in the 19-limit than any previous equal temperaments, past [[193edo|193]] and followed by [[217edo|217]]. | * 212et (212gh val) has a lower absolute error in the 19-limit than any previous equal temperaments, past [[193edo|193]] and followed by [[217edo|217]]. | ||