2444edo: Difference between revisions
m changed EDO intro to ED intro |
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}} | {{ED intro}} | ||
==Theory== | == Theory == | ||
2444edo is an excellent 2.5.7.11.13.19 subgroup tuning. | 2444edo is an excellent 2.5.7.11.13.19 subgroup tuning. | ||
In the 13-limit, 2444edo tempers out [[6656/6655]] and in light of having 52 as a divisor, it is a tuning for the [[french deck]] temperament. | In the 13-limit, 2444edo tempers out [[6656/6655]] and in light of having 52 as a divisor, it is a tuning for the [[french deck]] temperament. | ||
===Harmonics=== | |||
=== Harmonics === | |||
{{harmonics in equal|2444}} | {{harmonics in equal|2444}} | ||
== Regular temperament properties == | == Regular temperament properties == | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
!Periods<br>per 8ve | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Generator | |- | ||
! Cents | ! Periods<br />per 8ve | ||
! Associated<br> | ! Generator* | ||
! Cents* | |||
! Associated<br />ratio* | |||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| 52 | | 52 | ||
| 804\2444<br>(5\2444) | | 804\2444<br />(5\2444) | ||
| 394.73662<br>(2.455) | | 394.73662<br />(2.455) | ||
| 134560000/107132311<br>(?) | | 134560000/107132311<br />(?) | ||
| [[French deck]] | | [[French deck]] | ||
|} | |} | ||
<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 | |||