285edo: Difference between revisions
ArrowHead294 (talk | contribs) m Partial undo |
m changed EDO intro to ED intro |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
Line 9: | Line 9: | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
Since 285 factors into | Since 285 factors into {{factorisation|285}}, 285edo has subset edos {{EDOs| 3, 5, 15, 19, 57, and 95 }}. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
Line 26: | Line 26: | ||
| {{monzo| 452 -285 }} | | {{monzo| 452 -285 }} | ||
| {{mapping| 285 452 }} | | {{mapping| 285 452 }} | ||
| | | −0.3795 | ||
| 0.3794 | | 0.3794 | ||
| 9.01 | | 9.01 | ||
Line 33: | Line 33: | ||
| 67108864/66430125, {{monzo| -14 -19 19 }} | | 67108864/66430125, {{monzo| -14 -19 19 }} | ||
| {{mapping| 285 452 662 }} | | {{mapping| 285 452 662 }} | ||
| | | −0.4043 | ||
| 0.3117 | | 0.3117 | ||
| 7.41 | | 7.41 | ||
Line 40: | Line 40: | ||
| 3136/3125, 5120/5103, 40353607/39858075 | | 3136/3125, 5120/5103, 40353607/39858075 | ||
| {{mapping| 285 452 662 800 }} | | {{mapping| 285 452 662 800 }} | ||
| | | −0.2673 | ||
| 0.3596 | | 0.3596 | ||
| 8.54 | | 8.54 | ||
Line 47: | Line 47: | ||
| 3025/3024, 3136/3125, 5120/5103, 12005/11979 | | 3025/3024, 3136/3125, 5120/5103, 12005/11979 | ||
| {{mapping| 285 452 662 800 986 }} | | {{mapping| 285 452 662 800 986 }} | ||
| | | −0.2289 | ||
| 0.3307 | | 0.3307 | ||
| 7.85 | | 7.85 | ||
Line 54: | Line 54: | ||
| 352/351, 676/675, 847/845, 3025/3024, 12005/11979 | | 352/351, 676/675, 847/845, 3025/3024, 12005/11979 | ||
| {{mapping| 285 452 662 800 986 1055 }} | | {{mapping| 285 452 662 800 986 1055 }} | ||
| | | −0.2618 | ||
| 0.3107 | | 0.3107 | ||
| 7.38 | | 7.38 | ||
Line 93: | Line 93: | ||
| [[Enneadecal]] (5-limit) | | [[Enneadecal]] (5-limit) | ||
|} | |} | ||
<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 |