80edo: Difference between revisions

m Music: style
Regular temperament properties: - edo joins. Most of them have been named. Fix leapfrog generator
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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| 127 -80 }}
| {{Monzo| 127 -80 }}
| {{mapping| 80 127 }}
| {{Mapping| 80 127 }}
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| −0.961
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| 0.960
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| 2.3.5
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| 2048/2025, 390625000/387420489
| {{mapping| 80 127 186}}
| {{Mapping| 80 127 186 }}
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| −1.169
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| 2.3.5.7
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| 1728/1715, 2048/2025, 3136/3125
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| {{Mapping| 80 127 186 225 }}
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| {{Mapping| 80 127 186 225 277 }}
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| 169/168, 176/175, 325/324, 364/363, 540/539
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| {{Mapping| 80 127 186 225 277 296 }}
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| 2.3.5.7.11.13.17
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| 136/135, 169/168, 176/175, 221/220, 364/363, 540/539
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| {{Mapping| 80 127 186 225 277 296 327 }}
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| 136/135, 169/168, 176/175, 190/189, 221/220, 364/363, 400/399
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| {{Mapping| 80 127 186 225 277 296 327 340 }}
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=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
80et [[support]]s a profusion of 19-limit (and lower) rank-2 temperaments which have mostly not been explored. We might mention:
80et [[support]]s a profusion of 19-limit (and lower) rank-2 temperaments which have mostly not been explored.  
 
* {{nowrap|31 & 80}}
* {{nowrap|72 & 80}}
* {{nowrap|34 & 80}}
* {{nowrap|46 & 80}}
* {{nowrap|29 & 80}}
* {{nowrap|12 & 80}}
* {{nowrap|22 & 80}}
* {{nowrap|58 & 80}}
* {{nowrap|41 & 80}}
 
In each case, the numbers joined by an ampersand represent 19-limit [[patent val]]s (meaning obtained by rounding to the nearest integer).  


{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
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| 33\80
| 33\80
| 495
| 495
| 3/2
| 4/3
| [[Leapfrog]] / [[leapday]]
| [[Leapfrog]]
|-
|-
| 1
| 1
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| [[Degrees]]
| [[Degrees]]
|}
|}
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki/>* [[Normal forms|Octave-reduced form]], reduced to the first half-octave, and [[normal forms|minimal form]] in parentheses if distinct


== Detemperaments ==
== Detemperaments ==