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Meantone family: Difference between revisions

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Subgroup: 2.3.5
Subgroup: 2.3.5


Comma list: 81/80
[[Comma list]]: 81/80


[[Mapping]]: [{{val|1 0 -4}}, {{val|0 1 4}}]
[[Mapping]]: [{{val|1 0 -4}}, {{val|0 1 4}}]
Line 180: Line 180:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma]] list: 81/80, 126/125
[[Comma list]]: 81/80, 126/125


[[Mapping]]: [{{val|1 0 -4 -13}}, {{val|0 1 4 10}}]
[[Mapping]]: [{{val|1 0 -4 -13}}, {{val|0 1 4 10}}]
Line 1,028: Line 1,028:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma]] list: 81/80, 525/512
[[Comma list]]: 81/80, 525/512


[[Mapping]]: [{{val|1 0 -4 17}}, {{val|0 1 4 -9}}]
[[Mapping]]: [{{val|1 0 -4 17}}, {{val|0 1 4 -9}}]
Line 1,193: Line 1,193:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma]] list: 49/48, 81/80
[[Comma list]]: 49/48, 81/80


[[Mapping]]: [{{val| 1 0 -4 2 }}, {{val| 0 2 8 1 }}]
[[Mapping]]: [{{val| 1 0 -4 2 }}, {{val| 0 2 8 1 }}]
Line 1,412: Line 1,412:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma]] list: 36/35, 64/63
[[Comma list]]: 36/35, 64/63


Mapping: [{{val| 1 0 -4 6 }}, {{val| 0 1 4 -2 }}]
Mapping: [{{val| 1 0 -4 6 }}, {{val| 0 1 4 -2 }}]
Line 1,761: Line 1,761:
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Commas: 22/21, 27/26, 33/32, 36/35
Comma list: 22/21, 27/26, 33/32, 36/35


Mapping: [{{val| 1 0 -4 6 5 -1 }}, {{val| 0 1 4 -2 3 }}]
Mapping: [{{val| 1 0 -4 6 5 -1 }}, {{val| 0 1 4 -2 3 }}]
Line 1,789: Line 1,789:
Subgroup: 2.3.5.7.11.13.17
Subgroup: 2.3.5.7.11.13.17


Commas: 22/21, 27/26, 33/32, 36/35, 51/49
Comma list: 22/21, 27/26, 33/32, 36/35, 51/49


Mapping: [{{val| 1 0 -4 6 5 -1 12 }}, {{val| 0 1 4 -2 3 -5 }}]
Mapping: [{{val| 1 0 -4 6 5 -1 12 }}, {{val| 0 1 4 -2 3 -5 }}]
Line 1,817: Line 1,817:
Subgroup: 2.3.5.7.11.13.17.19
Subgroup: 2.3.5.7.11.13.17.19


Commas: 22/21, 27/26, 33/32, 36/35, 51/49, 57/56
Comma list: 22/21, 27/26, 33/32, 36/35, 51/49, 57/56


Mapping: [{{val| 1 0 -4 6 5 -1 12 9 }}, {{val| 0 1 4 -2 3 -5 -3 }}]
Mapping: [{{val| 1 0 -4 6 5 -1 12 9 }}, {{val| 0 1 4 -2 3 -5 -3 }}]
Line 1,847: Line 1,847:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma]] list: 21/20, 28/27
[[Comma list]]: 21/20, 28/27


Mapping: [{{val| 1 0 -4 -2 }}, {{val| 0 1 4 3 }}]
Mapping: [{{val| 1 0 -4 -2 }}, {{val| 0 1 4 3 }}]
Line 2,041: Line 2,041:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma]] list: 50/49, 81/80
[[Comma list]]: 50/49, 81/80


Mapping: [{{val| 2 0 -8 -7 }}, {{val| 0 1 4 4 }}]
Mapping: [{{val| 2 0 -8 -7 }}, {{val| 0 1 4 4 }}]
Line 2,060: Line 2,060:
</div></div>
</div></div>


== Music ==
; Music
* [http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3 Two Pairs of Socks] (in [[26edo]]) by [[Igliashon Jones]]
* [http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3 Two Pairs of Socks] (in [[26edo]]) by [[Igliashon Jones]]


Line 2,352: Line 2,352:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma]] list: 81/80, 6144/6125
[[Comma list]]: 81/80, 6144/6125


Mapping: [{{val| 1 1 0 6 }}, {{val| 0 2 8 -11 }}]
[[Mapping]]: [{{val| 1 1 0 6 }}, {{val| 0 2 8 -11 }}]


Mapping generators: ~2, ~128/105
Mapping generators: ~2, ~128/105
Line 2,701: Line 2,701:
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


[[Comma]] list: 81/80, 36/35, 121/120
[[Comma list]]: 81/80, 36/35, 121/120


Mapping: [{{val| 1 1 0 4 2 }}, {{val| 0 2 8 -4 5 }}]
[[Mapping]]: [{{val| 1 1 0 4 2 }}, {{val| 0 2 8 -4 5 }}]


Mapping generators: ~2, ~11/9
Mapping generators: ~2, ~11/9
Line 2,727: Line 2,727:
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


[[Comma]] list: 81/80, 36/35, 121/120, 144/143
Comma list: 81/80, 36/35, 121/120, 144/143


Mapping: [{{val| 1 1 0 4 2 4 }}, {{val| 0 2 8 -4 5 -1 }}]
Mapping: [{{val| 1 1 0 4 2 4 }}, {{val| 0 2 8 -4 5 -1 }}]
Line 2,753: Line 2,753:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: 81/80, 5898240/5764801
[[Comma list]]: 81/80, 5898240/5764801


[[Mapping]]: [{{val| 2 1 -4 4 }}, {{val|0 4 16 3 }}]
[[Mapping]]: [{{val| 2 1 -4 4 }}, {{val|0 4 16 3 }}]
Line 2,843: Line 2,843:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma]] list: 81/80, 1029/1024
[[Comma list]]: 81/80, 1029/1024


[[Mapping]]: [{{val| 1 1 0 3 }}, {{val| 0 3 12 -1 }}]
[[Mapping]]: [{{val| 1 1 0 3 }}, {{val| 0 3 12 -1 }}]
Line 3,050: Line 3,050:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma]] list: 81/80, 2401/2400
[[Comma list]]: 81/80, 2401/2400


Mapping: [{{val| 1 3 8 6 }}, {{val| 0 -4 -16 -9 }}]
[[Mapping]]: [{{val| 1 3 8 6 }}, {{val| 0 -4 -16 -9 }}]


Mapping generators: ~2, ~9/7
Mapping generators: ~2, ~9/7
Line 3,070: Line 3,070:


; Music:
; Music:
 
* [http://clones.soonlabel.com/public/micro/tuning-survey/daily20100603-squares8piano.mp3 Square 8] by [[Chris Vaisvil]]
By [[Chris Vaisvil]]
 
* [http://clones.soonlabel.com/public/micro/tuning-survey/daily20100603-squares8piano.mp3 Square 8]


== 11-limit ==
== 11-limit ==
Line 3,227: Line 3,224:
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


[[Comma]] list: 81/80, 385/384, 1375/1372
Comma list: 81/80, 385/384, 1375/1372


Mapping: [{{val| 1 3 8 6 -4 }}, {{val| 0 -4 -16 -9 21 }}]
Mapping: [{{val| 1 3 8 6 -4 }}, {{val| 0 -4 -16 -9 21 }}]
Line 3,258: Line 3,255:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


[[Comma]] list: 81/80, 686/675
[[Comma list]]: 81/80, 686/675


Mapping: [{{val| 1 0 -4 -3 }}, {{val| 0 3 12 11 }}]
Mapping: [{{val| 1 0 -4 -3 }}, {{val| 0 3 12 11 }}]
Line 3,435: Line 3,432:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: 81/80, 17280/16807
[[Comma list]]: 81/80, 17280/16807


Mapping: [{{val| 1 1 0 2 }}, {{val| 0 5 20 7 }}]
Mapping: [{{val| 1 1 0 2 }}, {{val| 0 5 20 7 }}]
Line 3,567: Line 3,564:
Optimal (POTE) generator: ~8/7 = 238.396
Optimal (POTE) generator: ~8/7 = 238.396


EDO generators: [[19edo|4\19]], [[38edo|7\38]], [[57edo|11\57]]
EDO generators: [[38edo|7\38]], [[57edo|11\57]]


Scales (Scala files):  
Scales (Scala files):  
Line 3,577: Line 3,574:
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: 81/80, 3125/3072
[[Comma list]]: 81/80, 3125/3072


Map: [{{val| 19 30 44 0 }}, {{val| 0 0 0 1 }}]
[[Mapping]]: [{{val| 19 30 44 0 }}, {{val| 0 0 0 1 }}]


Mapping generators: ~25/24, ~7
Mapping generators: ~25/24, ~7


Wedgie: {{wedgie| 0 0 19 0 30 44 }}
[[Wedgie]]: {{wedgie| 0 0 19 0 30 44 }}


{{Val list|legend=1| 19, 38, 57, 76, 95bc }}
{{Val list|legend=1| 19, 38, 57, 76, 95bc }}
Line 3,597: Line 3,594:
Optimal (POTE) generator: ~11/8 = 538.047
Optimal (POTE) generator: ~11/8 = 538.047


EDO generators: [[19edo|8\19]], [[38edo|17\38]]
EDO generators: [[38edo|17\38]]


Scales (Scala files):  
Scales (Scala files):  
Line 3,607: Line 3,604:
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Comma list: 49/48, 81/80, 126/125
[[Comma list]]: 49/48, 81/80, 126/125


Mapping: [{{val| 19 30 44 53 0 }}, {{val| 0 0 0 0 1 }}]
[[Mapping]]: [{{val| 19 30 44 53 0 }}, {{val| 0 0 0 0 1 }}]


Mapping generators: ~21/20, ~11
Mapping generators: ~21/20, ~11
Line 3,625: Line 3,622:
Optimal (POTE) generator: ~11/8 = 537.061
Optimal (POTE) generator: ~11/8 = 537.061


EDO generators: [[19edo|8\19]], [[38edo|17\38]]
EDO generators: [[38edo|17\38]]


Scales (Scala files):  
Scales (Scala files):  
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