125edo: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
→Regular temperament properties: cleanup and update |
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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 24: | Line 24: | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{ | | {{Monzo| -198 125 }} | ||
| | | {{Mapping| 125 198 }} | ||
| +0.364 | | +0.364 | ||
| 0.364 | | 0.364 | ||
Line 32: | Line 32: | ||
| 2.3.5 | | 2.3.5 | ||
| 15625/15552, 17433922005/17179869184 | | 15625/15552, 17433922005/17179869184 | ||
| | | {{Mapping| 125 198 290 }} | ||
| +0.575 | | +0.575 | ||
| 0.421 | | 0.421 | ||
Line 39: | Line 39: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 225/224, 4375/4374, 589824/588245 | | 225/224, 4375/4374, 589824/588245 | ||
| | | {{Mapping| 125 198 290 351 }} | ||
| +0.362 | | +0.362 | ||
| 0.519 | | 0.519 | ||
Line 46: | Line 46: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 225/224, 385/384, 1331/1323, 4375/4374 | | 225/224, 385/384, 1331/1323, 4375/4374 | ||
| | | {{Mapping| 125 198 290 351 432 }} | ||
| +0.528 | | +0.528 | ||
| 0.570 | | 0.570 | ||
Line 53: | Line 53: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 169/168, 225/224, 325/324, 385/384, 1331/1323 | | 169/168, 225/224, 325/324, 385/384, 1331/1323 | ||
| | | {{Mapping| 125 198 290 351 432 462 }} (125f) | ||
| +0.680 | | +0.680 | ||
| 0.622 | | 0.622 | ||
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 112: | Line 112: | ||
|- | |- | ||
| 5 | | 5 | ||
| 26\125<br | | 26\125<br>(1\125) | ||
| 249.6<br | | 249.6<br>(9.6) | ||
| 81/70<br | | 81/70<br>(176/175) | ||
| [[ | | [[Hemiquintile]] | ||
|- | |- | ||
| 5 | | 5 | ||
| 52\125<br | | 52\125<br>(2\125) | ||
| 499.2<br | | 499.2<br>(19.2) | ||
| 4/3<br | | 4/3<br>(81/80) | ||
| [[ | | [[Quintile]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | <nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
[[Category:Catakleismic]] | [[Category:Catakleismic]] |