432edo: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
m changed EDO intro to ED intro |
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(2 intermediate revisions by one other user not shown) | |||
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br />8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{monzo| 685 -432 }} | | {{monzo| 685 -432 }} | ||
| {{mapping| 432 685 }} | | {{mapping| 432 685 }} | ||
| | | −0.2596 | ||
| 0.2595 | | 0.2595 | ||
| 9.34 | | 9.34 | ||
Line 24: | Line 33: | ||
| {{monzo| 41 -20 -4 }}, {{monzo| -3 -23 17 }} | | {{monzo| 41 -20 -4 }}, {{monzo| -3 -23 17 }} | ||
| {{mapping| 432 685 1003 }} | | {{mapping| 432 685 1003 }} | ||
| | | −0.1440 | ||
| 0.2676 | | 0.2676 | ||
| 9.63 | | 9.63 | ||
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| 5120/5103, 703125/702464, 6565234375/6530347008 | | 5120/5103, 703125/702464, 6565234375/6530347008 | ||
| {{mapping| 432 685 1003 1213 }} | | {{mapping| 432 685 1003 1213 }} | ||
| | | −0.1631 | ||
| 0.2341 | | 0.2341 | ||
| 8.43 | | 8.43 | ||
|} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {| class="wikitable center-all left-5" | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |||
|- | |||
! Periods<br />per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br />ratio* | |||
! Temperaments | |||
|- | |- | ||
| 1 | | 1 | ||
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| 4/3 | | 4/3 | ||
| [[Undim]] | | [[Undim]] | ||
|} | |||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct |