58edo: Difference between revisions
m →Scales: Add Compdye |
m →Regular temperament properties: cleanup |
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! 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 490: | Line 490: | ||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| 2048/2025, [[ | | 2048/2025, [[1594323/1562500]] | ||
| {{mapping| 58 92 135 }} | | {{mapping| 58 92 135 }} | ||
| −1.29 | | −1.29 | ||
Line 530: | Line 530: | ||
|+ 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* | ||
! Temperament | ! Temperament | ||
|- | |- | ||
Line 603: | Line 603: | ||
|- | |- | ||
| 2 | | 2 | ||
| 17\58<br | | 17\58<br>(12\58) | ||
| 351.72<br | | 351.72<br>(248.28) | ||
| 11/9<br | | 11/9<br>(15/13) | ||
| [[Sruti]] | | [[Sruti]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 21\58<br | | 21\58<br>(8\58) | ||
| 434.48<br | | 434.48<br>(165.52) | ||
| 9/7<br | | 9/7<br>(11/10) | ||
| [[Echidna]] | | [[Echidna]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 24\58<br | | 24\58<br>(5\58) | ||
| 496.55<br | | 496.55<br>(103.45) | ||
| 4/3<br | | 4/3<br>(17/16) | ||
| [[Diaschismic]] | | [[Diaschismic]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 25\58<br | | 25\58<br>(4\58) | ||
| 517.24<br | | 517.24<br>(82.76) | ||
| 27/20<br | | 27/20<br>(21/20) | ||
| [[Harry]] | | [[Harry]] | ||
|- | |- | ||
| 29 | | 29 | ||
| 19\58<br | | 19\58<br>(1\58) | ||
| 393.10<br | | 393.10<br>(20.69) | ||
| 5/4<br | | 5/4<br>(91/90) | ||
| [[Mystery]] | | [[Mystery]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if | <nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
58et can also be detempered to [[semihemi]] (58 & 140), [[supers]] (58 & 152), [[condor]] (58 & 159), and [[eagle]] (58 & 212). | 58et can also be detempered to [[semihemi]] (58 & 140), [[supers]] (58 & 152), [[condor]] (58 & 159), and [[eagle]] (58 & 212). |