Keemic temperaments: Difference between revisions

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These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]]. Keemic temperaments include [[Jubilismic clan #Doublewide|doublewide]], [[Meantone family #Flattone|flattone]], [[Porcupine family #Porcupine|porcupine]], [[Gamelismic clan #Superkleismic|superkleismic]], [[Magic family #Magic|magic]], [[Kleismic family #Keemun|keemun]], and [[Sycamore family #Sycamore|sycamore]]. Discussed below are quasitemp and barbad.
These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]]. Keemic temperaments include [[Jubilismic clan #Doublewide|doublewide]], [[Meantone family #Flattone|flattone]], [[Porcupine family #Porcupine|porcupine]], [[Gamelismic clan #Superkleismic|superkleismic]], [[Magic family #Magic|magic]], [[Kleismic family #Keemun|keemun]], and [[Sycamore family #Sycamore|sycamore]]. Discussed below are quasitemp and barbad.


= Quasitemp =
== Quasitemp ==
== 5-limit ==
=== 5-limit ===
 
Subgroup: 2.3.5
Subgroup: 2.3.5


Line 16: Line 15:
[[Badness]]: 0.7678
[[Badness]]: 0.7678


== 7-limit ==
=== 7-limit ===
 
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 32: Line 30:
[[Badness]]: 0.0603
[[Badness]]: 0.0603


== 11-limit ==
=== 11-limit ===
 
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 42: Line 39:
POTE generator: ~25/21 = 292.547
POTE generator: ~25/21 = 292.547


{{Val list|legend=1| 37, 41, 119 }}
Vals: {{Val list| 37, 41, 119 }}


Badness: 0.0432
Badness: 0.0432


=== 13-limit ===
==== 13-limit ====
 
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 58: Line 54:
POTE generator: ~25/21 = 292.457
POTE generator: ~25/21 = 292.457


{{Val list|legend=1| 37, 41, 78, 119f }}
Vals: {{Val list| 37, 41, 78, 119f }}


Badness: 0.0329
Badness: 0.0329


== Quato ==
=== Quato ===
 
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 72: Line 67:
POTE generator: ~25/21 = 292.851
POTE generator: ~25/21 = 292.851


{{Val list|legend=1| 41, 127cd, 168cd }}
Vals: {{Val list| 41, 127cd, 168cd }}


Badness: 0.0412
Badness: 0.0412


=== 13-limit ===
==== 13-limit ====
 
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 86: Line 80:
POTE generator: ~13/11 = 292.928
POTE generator: ~13/11 = 292.928


{{Val list|legend=1| 41, 86ce, 127cd }}
Vals: {{Val list| 41, 86ce, 127cd }}


Badness: 0.0301
Badness: 0.0301


= Barbad =
== Barbad ==
 
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 106: Line 99:
[[Badness]]: 0.1104
[[Badness]]: 0.1104


== 11-limit ==
=== 11-limit ===
 
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11


Line 116: Line 108:
POTE generator: ~98/75 = 468.367
POTE generator: ~98/75 = 468.367


{{Val list|legend=1| 18e, 23de, 41, 228ccdd }}
Vals: {{Val list| 18e, 23de, 41, 228ccdd }}


Badness: 0.0501
Badness: 0.0501


== 13-limit ==
=== 13-limit ===
 
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 130: Line 121:
POTE generator: ~13/10 = 468.270
POTE generator: ~13/10 = 468.270


{{Val list|legend=1| 18e, 23de, 41 }}
Vals: {{Val list| 18e, 23de, 41 }}


Badness: 0.0392
Badness: 0.0392
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[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]
[[Category:Temperament collection]]
[[Category:Temperament collection]]
[[Category:Keemic]]
[[Category:Keemic temperaments| ]] <!-- main article -->
[[Category:Rank 2]]
[[Category:Rank 2]]