523edo: Difference between revisions
→Music: +music |
→Regular temperament properties: cleanup |
||
| Line 17: | Line 17: | ||
! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
! colspan="2" | Tuning error | ! colspan="2" | Tuning error | ||
|- | |- | ||
| Line 24: | Line 24: | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{ | | {{Monzo| 829 -523 }} | ||
| {{ | | {{Mapping| 523 829 }} | ||
| −0.0468 | | −0.0468 | ||
| 0.0468 | | 0.0468 | ||
| Line 31: | Line 31: | ||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| 1600000/1594323, {{monzo|-101 11 36}} | | 1600000/1594323, {{monzo| -101 11 36 }} | ||
| {{ | | {{Mapping| 523 829 1214 }} | ||
| +0.0901 | | +0.0901 | ||
| 0.1974 | | 0.1974 | ||
| Line 39: | Line 39: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 2401/2400, 1600000/1594323, 341796875/339738624 | | 2401/2400, 1600000/1594323, 341796875/339738624 | ||
| {{ | | {{Mapping| 523 829 1214 1468 }} | ||
| +0.1180 | | +0.1180 | ||
| 0.1776 | | 0.1776 | ||
| Line 45: | Line 45: | ||
|- | |- | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 6250/6237 | | 2401/2400, 6250/6237, 19712/19683, 166375/165888 | ||
| {{ | | {{Mapping| 523 829 1214 1468 1809 }} | ||
| +0.1319 | | +0.1319 | ||
| 0.1613 | | 0.1613 | ||
| Line 52: | Line 52: | ||
|- | |- | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 2080/2079, | | 625/624, 2080/2079, 2401/2400, 19712/19683, 50193/50176 | ||
| {{ | | {{Mapping| 523 829 1214 1468 1809 1935 }} | ||
| +0.1440 | | +0.1440 | ||
| 0.1497 | | 0.1497 | ||
| Line 63: | Line 63: | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br | ! Periods<br>per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br | ! Associated<br>ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 85: | Line 85: | ||
| 339.58 | | 339.58 | ||
| 243/200 | | 243/200 | ||
| [[Amity]] | | [[Amity]] (5-limit) | ||
|} | |} | ||
<nowiki />* | <nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]] | ||
== Music == | == Music == | ||