472edo: 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" Tags: Mobile edit Mobile web edit |
||
| (3 intermediate revisions by one other user not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
| Line 14: | Line 14: | ||
== 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]] (%) | |||
|- | |- | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| Line 33: | Line 42: | ||
| 729/728, 1575/1573, 2200/2197, 2401/2400, 4096/4095 | | 729/728, 1575/1573, 2200/2197, 2401/2400, 4096/4095 | ||
| [{{val| 472 748 1096 1325 1633 1747 }}] | | [{{val| 472 748 1096 1325 1633 1747 }}] | ||
| | | −0.0341 | ||
| 0.1365 | | 0.1365 | ||
| 5.37 | | 5.37 | ||
|} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
Note: 5-limit temperaments supported by [[118edo|118et]] are not included. | Note: 5-limit temperaments supported by [[118edo|118et]] are not included. | ||
{ | {| 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 72: | Line 88: | ||
| 4/3<br />(36/35) | | 4/3<br />(36/35) | ||
| [[Octant]] | | [[Octant]] | ||
|} | |||
<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 | |||