275edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 275 factors into | Since 275 factors into {{factorisation|275}}, 275edo has subset edos {{EDOs| 5, 11, 25 and 55 }}. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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| {{monzo| 436 -275 }} | | {{monzo| 436 -275 }} | ||
| {{mapping| 275 436 }} | | {{mapping| 275 436 }} | ||
| | | −0.1863 | ||
| 0.1862 | | 0.1862 | ||
| 4.27 | | 4.27 | ||
Line 37: | Line 37: | ||
| {{monzo| 24 -21 4 }}, {{monzo| 19 10 -15 }} | | {{monzo| 24 -21 4 }}, {{monzo| 19 10 -15 }} | ||
| {{mapping| 275 436 639 }} | | {{mapping| 275 436 639 }} | ||
| | | −0.4184 | ||
| 0.3618 | | 0.3618 | ||
| 8.29 | | 8.29 | ||
Line 44: | Line 44: | ||
| 6144/6125, 10976/10935, 9882516/9765625 | | 6144/6125, 10976/10935, 9882516/9765625 | ||
| {{mapping| 275 436 639 772 }} | | {{mapping| 275 436 639 772 }} | ||
| | | −0.3051 | ||
| 0.3698 | | 0.3698 | ||
| 8.48 | | 8.48 | ||
Line 51: | Line 51: | ||
| 441/440, 4000/3993, 6144/6125, 10976/10935 | | 441/440, 4000/3993, 6144/6125, 10976/10935 | ||
| {{mapping| 275 436 639 772 952 }} (275e) | | {{mapping| 275 436 639 772 952 }} (275e) | ||
| | | −0.4096 | ||
| 0.3912 | | 0.3912 | ||
| 8.97 | | 8.97 | ||
Line 58: | Line 58: | ||
| 364/363, 441/440, 676/675, 6144/6125, 10976/10935 | | 364/363, 441/440, 676/675, 6144/6125, 10976/10935 | ||
| {{mapping| 275 436 639 772 952 1018 }} (275e) | | {{mapping| 275 436 639 772 952 1018 }} (275e) | ||
| | | −0.4158 | ||
| 0.3574 | | 0.3574 | ||
| 8.19 | | 8.19 | ||
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| [[Hendecatonic]] | | [[Hendecatonic]] | ||
|} | |} | ||
<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 |