207edo: Difference between revisions
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
→Regular temperament properties: + countermiracle |
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| 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| -328 207 }} | ||
| {{ | | {{Mapping| 207 328 }} | ||
| +0.1595 | | +0.1595 | ||
| 0.1596 | | 0.1596 | ||
| Line 32: | Line 32: | ||
| 2.3.5 | | 2.3.5 | ||
| 32805/32768, {{monzo| 2 31 -22 }} | | 32805/32768, {{monzo| 2 31 -22 }} | ||
| {{ | | {{Mapping| 207 328 481 }} | ||
| −0.1942 | | −0.1942 | ||
| 0.5166 | | 0.5166 | ||
| Line 39: | Line 39: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 6144/6125, 19683/19600, 50421/50000 | | 6144/6125, 19683/19600, 50421/50000 | ||
| {{ | | {{Mapping| 207 328 481 581 }} | ||
| −0.0825 | | −0.0825 | ||
| 0.4874 | | 0.4874 | ||
| Line 46: | Line 46: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 441/440, 3388/3375, 6144/6125, 19683/19600 | | 441/440, 3388/3375, 6144/6125, 19683/19600 | ||
| {{ | | {{Mapping| 207 328 481 581 716 }} | ||
| −0.0317 | | −0.0317 | ||
| 0.4477 | | 0.4477 | ||
| Line 53: | Line 53: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 351/350, 441/440, 676/675, 847/845, 3584/3575 | | 351/350, 441/440, 676/675, 847/845, 3584/3575 | ||
| {{ | | {{Mapping| 207 328 481 581 716 766 }} | ||
| −0.0287 | | −0.0287 | ||
| 0.4087 | | 0.4087 | ||
| Line 60: | Line 60: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 351/350, 441/440, 561/560, 676/675, 847/845, 1089/1088 | | 351/350, 441/440, 561/560, 676/675, 847/845, 1089/1088 | ||
| {{ | | {{Mapping| 207 328 481 581 716 766 846 }} | ||
| −0.0034 | | −0.0034 | ||
| 0.3834 | | 0.3834 | ||
| Line 70: | Line 70: | ||
|+ 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 | ||
|- | |||
| 1 | |||
| 20\207 | |||
| 115.94 | |||
| 77/72 | |||
| [[Countermiracle]] / counterbenediction | |||
|- | |- | ||
| 1 | | 1 | ||
| Line 94: | Line 100: | ||
| [[Helmholtz (temperament)|Helmholtz]] | | [[Helmholtz (temperament)|Helmholtz]] | ||
|} | |} | ||
<nowiki />* | <nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]] | ||