814edo: Difference between revisions
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+19- and 23-limit data |
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=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|814 | {{Harmonics in equal|814}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
| Line 24: | Line 24: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 2401/2400, 32805/32768, {{monzo| 25 20 -22 -2 }} | | 2401/2400, 32805/32768, {{monzo| 25 20 -22 -2 }} | ||
| | | {{mapping| 814 1290 1890 2285 }} | ||
| +0.0695 | | +0.0695 | ||
| 0.0577 | | 0.0577 | ||
| Line 31: | Line 31: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 2401/2400, 9801/9800, 32805/32768, 20155392/20131375 | | 2401/2400, 9801/9800, 32805/32768, 20155392/20131375 | ||
| | | {{mapping| 814 1290 1890 2285 2816 }} | ||
| +0.0536 | | +0.0536 | ||
| 0.0605 | | 0.0605 | ||
| Line 38: | Line 38: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 2401/2400, 4225/4224, 6656/6655, 9801/9800, 32805/32768 | | 2401/2400, 4225/4224, 6656/6655, 9801/9800, 32805/32768 | ||
| | | {{mapping| 814 1290 1890 2285 2816 3012 }} | ||
| +0.0552 | | +0.0552 | ||
| 0.0554 | | 0.0554 | ||
| Line 45: | Line 45: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 1701/1700, 2058/2057, 2401/2400, 2601/2600, 4225/4224, 6656/6655 | | 1701/1700, 2058/2057, 2401/2400, 2601/2600, 4225/4224, 6656/6655 | ||
| | | {{mapping| 814 1290 1890 2285 2816 3012 3327 }} | ||
| +0.0573 | | +0.0573 | ||
| 0.0528 | | 0.0528 | ||
| 3.50 | | 3.50 | ||
|- | |||
| 2.3.5.7.11.13.17.19 | |||
| 1445/1444, 1521/1520, 1701/1700, 2058/2057, 2376/2375, 2401/2400, 2601/2600 | |||
| {{mapping| 814 1290 1890 2285 2816 3012 3327 3458 }} | |||
| +0.0421 | |||
| 0.0629 | |||
| 4.27 | |||
|- | |||
| 2.3.5.7.11.13.17.19.23 | |||
| 1445/1444, 1521/1520, 1701/1700, 1863/1862, 2058/2057, 2376/2375, 2401/2400, 2601/2600 | |||
| {{mapping| 814 1290 1890 2285 2816 3012 3327 3682 }} | |||
| +0.0439 | |||
| 0.0595 | |||
| 4.04 | |||
|} | |} | ||
* 814et is notable in the 17- and 23-limit with lower absolute errors than any previous equal temperaments, beating [[764edo|764]] in the 17-limit and [[742edo|742i]] in the 23-limit, and is only bettered by [[935edo|935]] in either subgroup. | * 814et is notable in the 17- and 23-limit with lower absolute errors than any previous equal temperaments, beating [[764edo|764]] in the 17-limit and [[742edo|742i]] in the 23-limit, and is only bettered by [[935edo|935]] in either subgroup. | ||