523edo: Difference between revisions

Francium (talk | contribs)
Music: +music
 
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! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br />8ve stretch (¢)
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning error
|-
|-
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|-
|-
| 2.3
| 2.3
| {{monzo|829 -523}}
| {{Monzo| 829 -523 }}
| {{mapping|523 829}}
| {{Mapping| 523 829 }}
| −0.0468
| −0.0468
| 0.0468
| 0.0468
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|-
|-
| 2.3.5
| 2.3.5
| 1600000/1594323, {{monzo|-101 11 36}}
| 1600000/1594323, {{monzo| -101 11 36 }}
| {{mapping|523 829 1214}}
| {{Mapping| 523 829 1214 }}
| +0.0901
| +0.0901
| 0.1974
| 0.1974
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| 2.3.5.7
| 2.3.5.7
| 2401/2400, 1600000/1594323, 341796875/339738624
| 2401/2400, 1600000/1594323, 341796875/339738624
| {{mapping|523 829 1214 1468}}
| {{Mapping| 523 829 1214 1468 }}
| +0.1180
| +0.1180
| 0.1776
| 0.1776
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|-
|-
| 2.3.5.7.11
| 2.3.5.7.11
| 6250/6237, 2401/2400, 19712/19683, 166375/165888
| 2401/2400, 6250/6237, 19712/19683, 166375/165888
| {{mapping|523 829 1214 1468 1809}}
| {{Mapping| 523 829 1214 1468 1809 }}
| +0.1319
| +0.1319
| 0.1613
| 0.1613
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|-
|-
| 2.3.5.7.11.13
| 2.3.5.7.11.13
| 2080/2079, 625/624, 4459/4455, 19712/19683, 50193/50176
| 625/624, 2080/2079, 2401/2400, 19712/19683, 50193/50176
| {{mapping|523 829 1214 1468 1809 1935}}
| {{Mapping| 523 829 1214 1468 1809 1935 }}
| +0.1440
| +0.1440
| 0.1497
| 0.1497
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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 />per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br />ratio*
! Associated<br>ratio*
! Temperaments
! Temperaments
|-
|-
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| 339.58
| 339.58
| 243/200
| 243/200
| [[Amity]]
| [[Amity]] (5-limit)
|}
|}
<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
<nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]]


== Music ==
== Music ==