Stearnsmic clan: Difference between revisions

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Xenllium (talk | contribs)
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No-five vals: {{Val list| 14, 22, 36, 94, 130, 224, 354, 484, 838 }}
No-five vals: {{Val list| 14, 22, 36, 94, 130, 224, 354, 484, 838 }}


= Sternscape =
== Sternscape ==
Subgroup: 2.3.5.7
 
[[Comma list]]: 118098/117649, 250047/250000
[[Comma list]]: 118098/117649, 250047/250000


Line 23: Line 25:
[[Badness]]: 0.090467
[[Badness]]: 0.090467


== 11-limit ==
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 540/539, 4000/3993, 137781/137500
Comma list: 540/539, 4000/3993, 137781/137500


Line 34: Line 38:
Badness: 0.032096
Badness: 0.032096


= Garistearn =
== Garistearn ==
The ''garistearn'' temperament (94&282, named by [[User:Xenllium|Xenllium]]) has a period of 1/94 octave and tempers out 118098/117649 and [[garischisma]], 33554432/33480783.
The ''garistearn'' temperament (94&282, named by [[User:Xenllium|Xenllium]]) has a period of 1/94 octave and tempers out 118098/117649 and [[garischisma]], 33554432/33480783.
Subgroup: 2.3.5.7


[[Comma list]]: 118098/117649, 33554432/33480783
[[Comma list]]: 118098/117649, 33554432/33480783
Line 49: Line 55:
[[Badness]]: 0.307043
[[Badness]]: 0.307043


== 11-limit ==
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 540/539, 4000/3993, 33554432/33480783
Comma list: 540/539, 4000/3993, 33554432/33480783


Line 60: Line 68:
Badness: 0.082255
Badness: 0.082255


== 13-limit ==
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 540/539, 729/728, 1575/1573, 28672/28561
Comma list: 540/539, 729/728, 1575/1573, 28672/28561


Line 71: Line 81:
Badness: 0.045941
Badness: 0.045941


== 17-limit ==
=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 540/539, 729/728, 1156/1155, 1575/1573, 2880/2873
Comma list: 540/539, 729/728, 1156/1155, 1575/1573, 2880/2873


Line 82: Line 94:
Badness: 0.027608
Badness: 0.027608


= Decistearn =
== Decistearn ==
The ''decistearn'' temperament (80&130, named by [[User:Xenllium|Xenllium]]) has a period of 1/10 octave and tempers out the [[3136/3125|hemimean comma]], 3136/3125 as well as the [[15/14ths equal temperament|linus comma]].
The ''decistearn'' temperament (80&130, named by [[User:Xenllium|Xenllium]]) has a period of 1/10 octave and tempers out the [[3136/3125|hemimean comma]], 3136/3125 as well as the [[15/14ths equal temperament|linus comma]].
Subgroup: 2.3.5.7


[[Comma list]]: 3136/3125, 118098/117649
[[Comma list]]: 3136/3125, 118098/117649
Line 97: Line 111:
[[Badness]]: 0.095543
[[Badness]]: 0.095543


== 11-limit ==
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 540/539, 3136/3125, 4000/3993
Comma list: 540/539, 3136/3125, 4000/3993


Line 108: Line 124:
Badness: 0.038556
Badness: 0.038556


== 13-limit ==
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 351/350, 364/363, 540/539, 3136/3125
Comma list: 351/350, 364/363, 540/539, 3136/3125


Line 119: Line 137:
Badness: 0.026895
Badness: 0.026895


== 17-limit ==
=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17
 
Comma list: 221/220, 289/288, 351/350, 540/539, 1632/1625
Comma list: 221/220, 289/288, 351/350, 540/539, 1632/1625


Line 130: Line 150:
Badness: 0.024234
Badness: 0.024234


== 19-limit ==
=== 19-limit ===
Comma list: 221/220, 289/288, 351/350, 361/360, 456/455, 476/475<br>
Subgroup: 2.3.5.7.11.13.17.19
 
Comma list: 221/220, 289/288, 351/350, 361/360, 456/455, 476/475


Mapping: [{{val|10 17 24 30 35 37 42 44}}, {{val|0 -3 -2 -5 -1 0 -3 -4}}]
Mapping: [{{val|10 17 24 30 35 37 42 44}}, {{val|0 -3 -2 -5 -1 0 -3 -4}}]