584edo: Difference between revisions
Rework; cleanup; clarify the title row of the rank-2 temp table |
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" |
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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" | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
| Line 24: | Line 25: | ||
| {{monzo| 463 -292 }} | | {{monzo| 463 -292 }} | ||
| {{mapping| 584 926 }} | | {{mapping| 584 926 }} | ||
| | | −0.2476 | ||
| 0.2475 | | 0.2475 | ||
| 12.05 | | 12.05 | ||
| Line 31: | 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 38: | 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 55: | Line 56: | ||
| 0.2613 | | 0.2613 | ||
| 12.72 | | 12.72 | ||
|} | |} | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Periods<br />per 8ve | |||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br> | ! Associated<br />ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 72: | Line 74: | ||
| [[Hemiluna]] (584, 7-limit) | | [[Hemiluna]] (584, 7-limit) | ||
|} | |} | ||
<nowiki>* | <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 == | ||
| Line 79: | Line 81: | ||
== Music == | == Music == | ||
; [[User:Francium|Francium]] | ; [[User:Francium|Francium]] | ||
* [https://www.youtube.com/watch?v=7qF6IwKB8Iw ''Are You From The Moon?''] (2023) | * [https://www.youtube.com/watch?v=7qF6IwKB8Iw ''Are You From The Moon?''] (2023) – hemiluna in 584edo tuning | ||
[[Category:Listen]] | |||