361edo: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
||
| (3 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
| Line 12: | Line 12: | ||
== 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| -572 361 }} | | {{monzo| -572 361 }} | ||
| {{mapping| 361 572 }} | | {{mapping| 361 572 }} | ||
| 0.1798 | | +0.1798 | ||
| 0.1798 | | 0.1798 | ||
| 5.41 | | 5.41 | ||
| Line 24: | Line 33: | ||
| {{monzo| -36 11 8 }}, {{monzo| -14 -19 19 }} | | {{monzo| -36 11 8 }}, {{monzo| -14 -19 19 }} | ||
| {{mapping| 361 572 838 }} | | {{mapping| 361 572 838 }} | ||
| 0.2230 | | +0.2230 | ||
| 0.1590 | | 0.1590 | ||
| 4.78 | | 4.78 | ||
| Line 31: | Line 40: | ||
| 4375/4374, 823543/819200, 2460375/2458624 | | 4375/4374, 823543/819200, 2460375/2458624 | ||
| {{mapping| 361 572 838 1013 }} | | {{mapping| 361 572 838 1013 }} | ||
| 0.3020 | | +0.3020 | ||
| 0.1941 | | 0.1941 | ||
| 5.84 | | 5.84 | ||
|} | |||
=== 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 | ||
| Line 50: | Line 66: | ||
| 4/3<br />(225/224) | | 4/3<br />(225/224) | ||
| [[Enneadecal]] | | [[Enneadecal]] | ||
|} | |||
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | |||