584edo: Difference between revisions
ArrowHead294 (talk | contribs) No 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 11: | Line 11: | ||
== 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| 463 -292 }} | | {{monzo| 463 -292 }} | ||
| {{mapping| 584 926 }} | | {{mapping| 584 926 }} | ||
| | | −0.2476 | ||
| 0.2475 | | 0.2475 | ||
| 12.05 | | 12.05 | ||
| Line 23: | Line 32: | ||
| {{monzo| 3 -18 11 }}, {{monzo| 21 -20 4 }} | | {{monzo| 3 -18 11 }}, {{monzo| 21 -20 4 }} | ||
| {{mapping| 584 926 1356 }} | | {{mapping| 584 926 1356 }} | ||
| | | −0.1633 | ||
| 0.2346 | | 0.2346 | ||
| 11.42 | | 11.42 | ||
| Line 30: | Line 39: | ||
| 1500625/1492992, 1605632/1594323, 235298/234375 | | 1500625/1492992, 1605632/1594323, 235298/234375 | ||
| {{mapping| 584 926 1356 1639 }} | | {{mapping| 584 926 1356 1639 }} | ||
| | | −0.0319 | ||
| 0.3052 | | 0.3052 | ||
| 14.85 | | 14.85 | ||
| Line 47: | Line 56: | ||
| 0.2613 | | 0.2613 | ||
| 12.72 | | 12.72 | ||
|} | |||
=== 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 57: | Line 73: | ||
| 200/189 | | 200/189 | ||
| [[Hemiluna]] (584, 7-limit) | | [[Hemiluna]] (584, 7-limit) | ||
|} | |||
<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 | |||
== Scales == | == Scales == | ||