240edo: Difference between revisions

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==Regular temperament properties==
==Regular temperament properties==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3.5
| 2.3.5
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| 0.5044
| 0.5044
| 10.09
| 10.09
|}
{{comma basis end}}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|-
| 1
| 1
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|-
|-
| 12
| 12
| 77\240<br>(3\240)
| 77\240<br />(3\240)
| 385.00<br>(15.00)
| 385.00<br />(15.00)
| 5/4<br>(81/80)
| 5/4<br />(81/80)
| [[Compton]]
| [[Compton]]
|}
{{rank-2 end}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
{{orf}}


== Scales ==
== Scales ==
; Scales derived from marvel and spectacle temperaments
; Scales derived from marvel and spectacle temperaments
* 23 17 23 14 23 17 23 23 14 26 14 23 - [[Alexander Ellis|Ellis]]'s [[Duodene]] genus [33355] retuned to 240edo
* 23 17 23 14 23 17 23 23 14 26 14 23 &ndash; [[Alexander Ellis|Ellis]]'s [[Duodene]] genus [33355] retuned to 240edo
* 23 17 14 23 23 17 23 23 14 17 23 23 - [[Carl Lumma]]'s scale
* 23 17 14 23 23 17 23 23 14 17 23 23 &ndash; [[Carl Lumma]]'s scale
* 14 9 14 17 23 23 23 17 14 9 14 23 17 23 - Pum[14] scale
* 14 9 14 17 23 23 23 17 14 9 14 23 17 23 &ndash; Pum[14] scale
* 16 10 7 7 16 7 7 16 7 10 7 16 7 7 16 7 7 10 16 7 7 16 7 - Ellis duodene union [[11/9]] times the duodene
* 16 10 7 7 16 7 7 16 7 10 7 16 7 7 16 7 7 10 16 7 7 16 7 &ndash; Ellis duodene union [[11/9]] times the duodene
 
; Other scales


* 17 3 17 3 17 3 17 3 17 3 17 3 17 3 17 3 17 3 17 3 17 3 17 3 - [[Compton]][24]
=== Other scales ===
* 23 31 80 23 83 - [[Indonesian|Balinese]] pentatonic [[pelog]] scale; [[Tolgahan Çoğulu]]'s tuning
* 17 3 17 3 17 3 17 3 17 3 17 3 17 3 17 3 17 3 17 3 17 3 17 3 &ndash; [[Compton]][24]
* 23 31 80 23 83 &ndash; [[Indonesian|Balinese]] pentatonic [[pelog]] scale; [[Tolgahan Çoğulu]]'s tuning


== Music ==
== Music ==