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Mavila family: Difference between revisions

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== Septimal mavila ==
== Septimal mavila ==
Subgroup: 2.3.5.7
[[Comma list]]: 126/125, 135/128
[[Comma list]]: 126/125, 135/128


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=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 33/32, 45/44, 126/125
Comma list: 33/32, 45/44, 126/125


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POTE generator: ~3/2 = 677.924
POTE generator: ~3/2 = 677.924


Optimal GPV sequence: {{Val list| 7d, 16, 23d }}
Optimal GPV sequence: {{Val list| 7d, 16, 23de }}


Badness: 0.042049
Badness: 0.042049


== Pelogic ==
== Pelogic ==
Subgroup: 2.3.5.7
[[Comma list]]: 21/20, 135/128
[[Comma list]]: 21/20, 135/128


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=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 21/20, 33/32, 45/44
Comma list: 21/20, 33/32, 45/44


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== Armodue ==
== Armodue ==
This temperament is also known as '''hexadecimal'''.  
This temperament is also known as '''hexadecimal'''.  
Subgroup: 2.3.5.7


[[Comma list]]: 36/35, 135/128
[[Comma list]]: 36/35, 135/128
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[[POTE generator]]: ~3/2 = 673.997
[[POTE generator]]: ~3/2 = 673.997
[[Tuning ranges]]:
* 7-odd-limit [[diamond monotone]]: ~3/2 = [666.667, 675.000] (5\9 to 9\16)
* 7-odd-limit [[diamond tradeoff]]: ~3/2 = [666.718, 701.955]
* 7-odd-limit diamond monotone and tradeoff: ~3/2 = [666.718, 675.000]


{{Val list|legend=1| 7, 9, 16, 41b, 57bb }}
{{Val list|legend=1| 7, 9, 16, 41b, 57bb }}
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=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 33/32, 36/35, 45/44
Comma list: 33/32, 36/35, 45/44


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=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 27/26, 33/32, 36/35, 45/44
Comma list: 27/26, 33/32, 36/35, 45/44


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== Hornbostel ==
== Hornbostel ==
Subgroup: 2.3.5.7
[[Comma list]]: 135/128, 729/700
[[Comma list]]: 135/128, 729/700


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[[POTE generator]]: ~3/2 = 678.947
[[POTE generator]]: ~3/2 = 678.947


{{Val list|legend=1| 7, 16d, 23d }}
{{Val list|legend=1| 7, 16d, 23d, 53bbccd, 76bbccdd }}


[[Badness]]: 0.121394
[[Badness]]: 0.121294
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 33/32, 45/44, 729/700
 
Mapping: [{{val|1 0 7 -16 5}}, {{val|0 1 -3 12 -1}}]
 
POTE generator: ~3/2 = 678.909
 
Optimal GPV sequence: {{Val list| 7, 16d, 23de }}
 
Badness: 0.055036


== Superpelog ==
== Superpelog ==
Subgroup: 2.3.5.7
[[Comma list]]: 49/48, 135/128
[[Comma list]]: 49/48, 135/128


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=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 33/32, 45/44, 49/48
Comma list: 33/32, 45/44, 49/48


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Badness: 0.028535
Badness: 0.028535


''[http://micro.soonlabel.com/MOS/20120418-9mos-mindaugas.mp3 Mindaugas Rex Lithuaniae]'' by [http://chrisvaisvil.com/?p=2267 Chris Vaisvil] (in 5\23 tuning)
; Music
: ''[http://micro.soonlabel.com/MOS/20120418-9mos-mindaugas.mp3 Mindaugas Rex Lithuaniae]'' by [http://chrisvaisvil.com/?p=2267 Chris Vaisvil] (in 5\23 tuning)


== Bipelog ==
== Bipelog ==
Subgroup: 2.3.5.7
[[Comma list]]: 50/49, 135/128
[[Comma list]]: 50/49, 135/128


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=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 33/32, 45/44, 50/49
Comma list: 33/32, 45/44, 50/49


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== Mohavila ==
== Mohavila ==
Subgroup: 2.3.5.7
[[Comma list]]: 135/128, 1323/1250
[[Comma list]]: 135/128, 1323/1250


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=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 33/32, 45/44, 1323/1250
Comma list: 33/32, 45/44, 1323/1250


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Badness: 0.092074
Badness: 0.092074


== Mavila listening examples ==
== Listening examples ==
'''[[Gene Ward Smith]]'''
; [[Gene Ward Smith]]
*[http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/mushc.ogg Mysterious Mush (spectrally mapped)]
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/mushc.ogg Mysterious Mush (spectrally mapped)]
*[http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/mush.ogg Mysterious Mush (unmapped)]
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/mush.ogg Mysterious Mush (unmapped)]
*''[http://micro.soonlabel.com/gene_ward_smith/transformers/hopper.mp3 Hopper]'' by Singer-Medora-White-Smith; in f^4-10f+10=0 equal-beating mavila
* ''[http://micro.soonlabel.com/gene_ward_smith/transformers/hopper.mp3 Hopper]'' by Singer-Medora-White-Smith; in f^4-10f+10=0 equal-beating mavila


'''[[Mike Battaglia]]'''
; [[Mike Battaglia]]
*[https://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments-9-edo The Mavila Experiments - 9-EDO Version]
* [https://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments-9-edo The Mavila Experiments - 9-EDO Version]
*[https://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments-16-edo The Mavila Experiments - 16-EDO Version]
* [https://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments-16-edo The Mavila Experiments - 16-EDO Version]
*[https://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments The Mavila Experiments - 23-EDO Version]
* [https://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments The Mavila Experiments - 23-EDO Version]
*[https://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments-25-edo The Mavila Experiments - 25-EDO Version]
* [https://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments-25-edo The Mavila Experiments - 25-EDO Version]


'''[[John Moriarty]]'''
; [[John Moriarty]]
*''[http://clones.soonlabel.com/public/micro/j_l_moriat/Mavila.mp3 Mavila]''
* ''[http://clones.soonlabel.com/public/micro/j_l_moriat/Mavila.mp3 Mavila]''


[[Category:Theory]]
[[Category:Theory]]
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