Temperaments for MOS shapes: Difference between revisions

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Below are listed [[temperament]]s of least [[TE]] [[complexity]] which result in a particular [[MOS]] shape, where "results in" is taken to mean that the [[POTE]] tuning has that shape.
Below are listed [[temperament]]s of least [[TE complexity]] which result in a particular [[mos]] shape, where "results in" is taken to mean that the [[POTE tuning]] has that shape.


=[[7edo]]=
== 7edo ==
 
=== 5-limit ===
==[[5-limit]]==
1L6s <<3 5 1|| porcupine 250/243
1L6s <<3 5 1|| porcupine 250/243


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6L1s <<3 -2 -10|| enipucrop 1125/1024
6L1s <<3 -2 -10|| enipucrop 1125/1024


==[[7-limit]] patent==
=== 7-limit patent ===
1L6s <<3 5 1 1 -7 -12|| hystrix {36/35, 160/147}
1L6s <<3 5 1 1 -7 -12|| hystrix {36/35, 160/147}


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6L1s <<3 -2 1 -10 -7 8|| {15/14, 256/245}
6L1s <<3 -2 1 -10 -7 8|| {15/14, 256/245}


==7d==
=== 7d ===
1L6s <<3 5 2 1 -5 -9|| oxygen {21/20, 175/162}
1L6s <<3 5 2 1 -5 -9|| oxygen {21/20, 175/162}


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6L1s <<4 2 5 -6 -3 6|| {25/24, 49/45}
6L1s <<4 2 5 -6 -3 6|| {25/24, 49/45}


=[[8edo]]=
== 8edo ==


==5-limit==
=== 5-limit ===
1L7s <<5 3 -7|| progression 3456/3125
1L7s <<5 3 -7|| progression 3456/3125


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7L1s <<3 5 1|| porcupine 250/243
7L1s <<3 5 1|| porcupine 250/243


==7-limit 8d==
=== 7-limit 8d ===
1L7s <<5 3 7 -7 -3 8|| progression {36/35, 392/375}  
1L7s <<5 3 7 -7 -3 8|| progression {36/35, 392/375}  


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7L1s <<3 5 1 1 -7 -12|| hystrix {36/35, 160/147}
7L1s <<3 5 1 1 -7 -12|| hystrix {36/35, 160/147}


=[[9edo]]=
== 9edo ==


==5-limit==
=== 5-limit ===
1L8s <<4 -3 -14|| negri 16875/16384
1L8s <<4 -3 -14|| negri 16875/16384


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8L1s <<5 3 -7|| progression 3456/3125
8L1s <<5 3 -7|| progression 3456/3125


==7-limit==
=== 7-limit ===
1L8s <<4 -3 2 -14 -8 13|| negri {49/48, 225/224}
1L8s <<4 -3 2 -14 -8 13|| negri {49/48, 225/224}


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8L1s <<5 3 7 -7 -3 8|| progression {36/35, 392/375}  
8L1s <<5 3 7 -7 -3 8|| progression {36/35, 392/375}  


=[[10edo]]=
== 10edo ==


==5-limit==
=== 5-limit ===
1L9s <<4 7 2|| 2500/2187
1L9s <<4 7 2|| 2500/2187


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9L1s <<4 -3 -14|| negri 16875/16384
9L1s <<4 -3 -14|| negri 16875/16384


==7-limit==
=== 7-limit ===
1L9s <<4 7 2 2 -8 -15|| {49/48, 175/162}
1L9s <<4 7 2 2 -8 -15|| {49/48, 175/162}


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9L1s <<4 -3 2 -14 -8 13|| negri {49/48, 225/224}
9L1s <<4 -3 2 -14 -8 13|| negri {49/48, 225/224}


==[[11-limit]]==
=== 11-limit ===
1L9s <<4 7 2 5 2 -8 -6 -15 -13 7|| {35/33, 49/48, 55/54}
1L9s <<4 7 2 5 2 -8 -6 -15 -13 7|| {35/33, 49/48, 55/54}


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9L1s <<4 -3 2 5 -14 -8 -6 13 22 7|| negri {45/44, 49/48, 56/55}
9L1s <<4 -3 2 5 -14 -8 -6 13 22 7|| negri {45/44, 49/48, 56/55}


=[[11edo]]=
== 11edo ==


==5-limit 11b==
=== 5-limit 11b ===
1L10s <<7 4 -10|| 82944/78125
1L10s <<7 4 -10|| 82944/78125


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10L1s <<4 7 2|| 2500/2187
10L1s <<4 7 2|| 2500/2187


==5-limit 11c==
=== 5-limit 11c ===
1L10s <<5 8 1|| ripple 6561/6250
1L10s <<5 8 1|| ripple 6561/6250


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10L1s <<5 -14 -33|| 14946778125/8589934592
10L1s <<5 -14 -33|| 14946778125/8589934592
[[Category:todo:link]]
 
[[Category:Lists of temperaments]]
[[Category:Lists of temperaments]]
[[Category:MOS scale]]
[[Category:MOS scale]]