255edo: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
m changed EDO intro to ED intro |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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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| -404 255 }} | ||
| {{ | | {{Mapping| 255 404 }} | ||
| +0.246 | | +0.246 | ||
| 0.246 | | 0.246 | ||
| Line 31: | Line 31: | ||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| {{ | | {{Monzo| 8 14 -13 }}, {{monzo| -36 11 8 }} | ||
| {{ | | {{Mapping| 255 404 592 }} | ||
| +0.226 | | +0.226 | ||
| 0.203 | | 0.203 | ||
| Line 39: | Line 39: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 16875/16807, 19683/19600, 65625/65536 | | 16875/16807, 19683/19600, 65625/65536 | ||
| {{ | | {{Mapping| 255 404 592 716 }} | ||
| +0.117 | | +0.117 | ||
| 0.257 | | 0.257 | ||
| Line 46: | Line 46: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 540/539, 1375/1372, 8019/8000, 65625/65536 | | 540/539, 1375/1372, 8019/8000, 65625/65536 | ||
| {{ | | {{Mapping| 255 404 592 716 882 }} | ||
| +0.136 | | +0.136 | ||
| 0.233 | | 0.233 | ||
| Line 56: | Line 56: | ||
|+ 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 87: | Line 87: | ||
|- | |- | ||
| 3 | | 3 | ||
| 82\255<br | | 82\255<br>(3\255) | ||
| 385.88<br | | 385.88<br>(14.12) | ||
| 5/4<br | | 5/4<br>(126/125) | ||
| [[Mutt]] (7-limit) | | [[Mutt]] (7-limit) | ||
|- | |- | ||
| 5 | | 5 | ||
| 53\255<br | | 53\255<br>(2\255) | ||
| 249.41<br | | 249.41<br>(9.41) | ||
| 81/70<br | | 81/70<br>(176/175) | ||
| [[ | | [[Hemiquintile]] / hemiquint (255) / hemiquintilis (255f) | ||
|- | |- | ||
| 5 | | 5 | ||
| 106\255<br | | 106\255<br>(4\255) | ||
| 498.82<br | | 498.82<br>(18.82) | ||
| 4/3<br | | 4/3<br>(81/80) | ||
| [[ | | [[Quintile]] | ||
|- | |- | ||
| 17 | | 17 | ||
| 53\255<br | | 53\255<br>(7\255) | ||
| 249.41<br | | 249.41<br>(32.94) | ||
| {{ | | {{Monzo| -25 -9 17 }}<br>(1990656/1953125) | ||
| [[Chlorine]] (5-limit) | | [[Chlorine]] (5-limit) | ||
|} | |} | ||
<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:Mirkat]] | [[Category:Mirkat]] | ||