472edo: Difference between revisions
Cleanup; clarify the title row of the rank-2 temp table; -redundant categories |
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 |
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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 41: | 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 | ||
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{| 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 | ||
|- | |- | ||
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|- | |- | ||
| 8 | | 8 | ||
| 196\472<br>(19\472) | | 196\472<br />(19\472) | ||
| 498.31<br>(48.31) | | 498.31<br />(48.31) | ||
| 4/3<br>(36/35) | | 4/3<br />(36/35) | ||
| [[Octant]] | | [[Octant]] | ||
|} | |} | ||
<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 | ||