410edo: Difference between revisions
m →Theory: cleanup |
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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! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
! colspan="2" | Tuning error | ! colspan="2" | Tuning error | ||
|- | |- | ||
| Line 29: | Line 29: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 2401/2400, 1600000/1594323, 48828125/48771072 | | 2401/2400, 1600000/1594323, 48828125/48771072 | ||
| {{ | | {{Mapping| 410 650 952 1151 }} | ||
| −0.0753 | | −0.0753 | ||
| 0.1332 | | 0.1332 | ||
| Line 36: | Line 36: | ||
| 2.3.5.7.17 | | 2.3.5.7.17 | ||
| 1225/1224, 2401/2400, 24576/24565, 295936/295245 | | 1225/1224, 2401/2400, 24576/24565, 295936/295245 | ||
| {{ | | {{Mapping| 410 650 952 1151 1676 }} | ||
| −0.0803 | | −0.0803 | ||
| 0.1196 | | 0.1196 | ||
| Line 43: | Line 43: | ||
| 2.3.5.7.17.19 | | 2.3.5.7.17.19 | ||
| 1216/1215, 1225/1224, 1445/1444, 2401/2400, 24576/24565 | | 1216/1215, 1225/1224, 1445/1444, 2401/2400, 24576/24565 | ||
| {{ | | {{Mapping| 410 650 952 1151 1676 1742 }} | ||
| −0.1071 | | −0.1071 | ||
| 0.1245 | | 0.1245 | ||
| 4.25 | | 4.25 | ||
|} | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
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|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br | ! Periods<br>per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br | ! Associated<br>ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 104: | Line 104: | ||
|- | |- | ||
| 10 | | 10 | ||
| 85\410<br | | 85\410<br>(3\410) | ||
| 248.78<br | | 248.78<br>(8.78) | ||
| 15/13<br | | 15/13<br>(176/175) | ||
| [[Decoid]] | | [[Decoid]] | ||
|- | |- | ||
| 41 | | 41 | ||
| 61\410<br | | 61\410<br>(1\410) | ||
| 178.54<br />(2.93) | | 178.54<br/>(2.93) | ||
| 567/512<br | | 567/512<br>(352/351) | ||
| [[Hemicountercomp]] | | [[Hemicountercomp]] | ||
|} | |} | ||
<nowiki />* [[Normal | <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 == | ||