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Mavila family: Difference between revisions

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'Pelogic' (from the Indonesian word ''[[Wikipedia: Pelog|pelog]]'') should probably be pronounced /pɛˈlɒgɪk/ ''pell-LOG-ik''.
'Pelogic' (from the Indonesian word ''[[Wikipedia: Pelog|pelog]]'') should probably be pronounced /pɛˈlɒgɪk/ ''pell-LOG-ik''.


== Mavila ==
== Mavila ==
 
Subgroup: 2.3.5
Subgroup: 2.3.5


[[Comma list]]: 135/128
[[Comma list]]: 135/128


[[POTE_tuning|POTE generator]]: ~3/2 = 679.806
[[Mapping]]: [{{val|1 0 7}}, {{val|0 1 -3}}]


[[Mapping]]: [{{val|1 0 7}}, {{val|0 1 -3}}]
[[POTE generator]]: ~3/2 = 679.806


[[Tuning ranges]]:
[[Tuning ranges]]:
* [[diamond monotone]] range: [514.286, 600.000] (3\7 to 1\2)
* [[Diamond monotone]] range: [600.000, 685.714] (1\2 to 4\7)
* [[Diamond tradeoff]] range: [671.229, 701.955]
* Diamond monotone and tradeoff: [671.229, 685.714]
 
{{Val list|legend=1| 7, 9, 16, 23, 30bc }}
 
[[Badness]]: 0.039556
 
== Septimal mavila ==
[[Comma list]]: 126/125, 135/128
 
[[Mapping]]: [{{val|1 0 7 20}}, {{val|0 1 -3 -11}}]
 
{{Multival|legend=1|1 -3 -11 -7 -20 -17}}
 
[[POTE generator]]: ~3/2 = 677.913
 
{{Val list|legend=1| 7d, 16, 23d }}
 
[[Badness]]: 0.089013


EDOs: {{EDOs| 7, 9, 16, 23, 30bc }}
=== 11-limit ===
Comma list: 33/32, 45/44, 126/125


== Septimal mavila  ==
Mapping: [{{val|1 0 7 20 5}}, {{val|0 1 -3 -11 -1}}]
[[Comma|Commas]]: 126/125, 135/128


[[POTE_tuning|POTE generator]]: ~3/2 = 677.912
POTE generator: ~3/2 = 677.924


Map: [<1 0 7 20|, <0 1 -3 -11|]
Vals: {{Val list| 7d, 16, 23d }}


EDOs: {{EDOs| 7d, 16, 23d }}
Badness: 0.042049


Badness: 0.0890
== Pelogic ==
[[Comma list]]: 21/20, 135/128


== Pelogic  ==
[[Mapping]]: [{{val|1 0 7 9}}, {{val|0 1 -3 -4}}]
[[Comma|Commas]]: 21/20, 135/128


[[POTE_tuning|POTE generator]]: ~3/2 = 672.853
{{Multival|legend=1|1 -3 -4 -7 -9 -1}}


Map: [<1 0 7 9|, <0 1 -3 -4|]
[[POTE generator]]: ~3/2 = 672.853


[[Wedgie]]: <<1 -3 -4 -7 -9 -1||
{{Val list|legend=1| 7d, 9, 16d }}


EDOs: {{EDOs| 7d, 9, 16d }}
[[Badness]]: 0.038661


Badness: 0.0387
=== 11-limit ===
Comma list: 21/20, 33/32, 45/44


=== 11-limit  ===
Mapping: [{{val|1 0 7 9 5}}, {{val|0 1 -3 -4 -1}}]
Commas: 21/20, 33/32, 45/44


POTE generator: ~3/2 = 672.644
POTE generator: ~3/2 = 672.644


Map: [<1 0 7 9 5|, <0 1 -3 -4 -1|]
Vals: {{Val list| 7d, 9, 16d }}


EDOs: {{EDOs| 7d, 9, 16d }}
Badness: 0.022753


Badness: 0.0228
== Armodue ==
This temperament is also known as '''hexadecimal'''.  


== Armodue  ==
[[Comma list]]: 36/35, 135/128
This temperament is also known as '''hexadecimal'''.


[[Comma|Commas]]: 36/35, 135/128
[[Mapping]]: [{{val|1 0 7 -5}}, {{val|0 1 -3 5}}]


[[POTE_tuning|POTE generator]]: ~3/2 = 673.997
{{Multival|legend=1|1 -3 5 -7 5 20}}


Map: [<1 0 7 -5|, <0 1 -3 5|]
[[POTE generator]]: ~3/2 = 673.997


[[Wedgie]]: <<1 -3 5 -7 5 20||
{{Val list|legend=1| 7, 9, 16, 41b, 57bb }}


EDOs: {{EDOs| 7, 9, 16, 41b, 57bb }}
[[Badness]]: 0.049038


Badness: 0.0490
=== 11-limit ===
Comma list: 33/32, 36/35, 45/44


=== 11-limit  ===
Mapping: [{{val|1 0 7 -5 5}}, {{val|0 1 -3 5 -1}}]
Commas: 33/32, 36/35, 45/44


POTE generator: ~3/2 = 673.807
POTE generator: ~3/2 = 673.807


Map: [<1 0 7 -5 5|, <0 1 -3 5 -1|]
Vals: {{Val list| 7, 9, 16, 25b, 41be, 57bbee }}


EDOs: {{EDOs| 7, 9, 16, 25b, 41be, 57bbee }}
Badness: 0.027211


Badness: 0.0272
=== 13-limit ===
Comma list: 27/26, 33/32, 36/35, 45/44


=== 13-limit  ===
Mapping: [{{val|1 0 7 -5 5 -1}}, {{val|0 1 -3 5 -1 3}}]
Commas: 27/26, 33/32, 36/35, 45/44


POTE generator: ~3/2 = 673.763
POTE generator: ~3/2 = 673.763


Map: [<1 0 7 -5 5 -1|, <0 1 -3 5 -1 3|]
Vals: {{Val list| 7, 9, 16, 41bef, 57bbeef }}


EDOs: {{EDOs| 7, 9, 16, 41bef, 57bbeef }}
Badness: 0.019351


Badness: 0.0194
== Hornbostel ==
[[Comma list]]: 135/128, 875/864


== Hornbostel  ==
[[Mapping]]: [{val|1 0 7 -16}}, {{val|0 1 -3 12}}]
[[Comma|Commas]]: 135/128, 875/864


[[POTE_tuning|POTE generator]]: ~3/2 = 678.947
{{Multival|legend=1|1 -3 12 -7 16 36}}


Map: [<1 0 7 -16|, <0 1 -3 12|]
[[POTE generator]]: ~3/2 = 678.947


[[wedgie|Wedgie]]: <<1 -3 12 -7 16 36||
{{Val list|legend=1| 7, 16d, 23d }}


EDOs: {{EDOs| 7, 16d, 23d }}
[[Badness]]: 0.121394


Badness: 0.1213
== Superpelog ==
[[Comma list]]: 49/48, 135/128


== Superpelog  ==
[[Mapping]]: [{{val|1 0 7 2}}, {{val|0 2 -6 1}}]
[[Comma|Commas]]: 49/48, 135/128


[[POTE_tuning|POTE generator]]: ~8/7 = 259.952
{{Multival|legend=1|2 -6 1 -14 -4 19}}


Map: [<1 0 7 2|, <0 2 -6 1|]
[[POTE generator]]: ~8/7 = 259.952


[[wedgie|Wedgie]]: <<2 -6 1 -14 -4 19||
{{Val list|legend=1| 9, 14c, 23d, 37bcd, 60bbccdd }}


EDOs: {{EDOs| 9, 14c, 23d, 37bcd, 60bbccdd }}
[[Badness]]: 0.058216


Badness: 0.0582
=== 11-limit ===
Comma list: 33/32, 45/44, 49/48


=== 11-limit  ===
Mapping: [{{val|1 0 7 2 5}}, {{val|0 2 -6 1 -2}}]
Commas: 33/32, 45/44, 49/48


POTE generator: ~8/7 = 259.959
POTE generator: ~8/7 = 259.959


Map: [<1 0 7 2 5|, <0 2 -6 1 -2|]
Vals: {{Val list| 9, 14c, 23de, 37bcde }}


EDOs: {{EDOs| 9, 14c, 23de, 37bcde }}
Badness: 0.028535


Badness: 0.0285
''[http://micro.soonlabel.com/MOS/20120418-9mos-mindaugas.mp3 Mindaugas Rex Lithuaniae]'' by [http://chrisvaisvil.com/?p=2267 Chris Vaisvil] (in 5\23 tuning)


''[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 ==
[[Comma list]]: 50/49, 135/128


== Bipelog  ==
[[Mapping]]: [{{val|2 0 14 15}}, {{val|0 1 -3 -3}}]
[[Comma|Commas]]: 50/49, 135/128


[[POTE_tuning|POTE generator]]: ~3/2 = 681.195
{{Multival|legend=1|2 -6 -6 -14 -15 3}}


Map: [<2 0 14 15|, <0 1 -3 -3|]
[[POTE generator]]: ~3/2 = 681.195


[[wedgie|Wedgie]]: <<2 -6 -6 -14 -15 3||
{{Val list|legend=1| 14c, 16, 30bc, 44bccd }}


EDOs: {{EDOs| 14c, 16, 30bc, 44bccd }}
[[Badness]]: 0.074703


Badness: 0.0747
=== 11-limit ===
Comma list: 33/32, 45/44, 50/49


=== 11-limit  ===
Mapping: [{{val|2 0 14 15 10}}, {{val|0 1 -3 -3 -1}}]
Commas: 33/32, 45/44, 50/49


POTE generator: ~3/2 = 681.280
POTE generator: ~3/2 = 681.280


Map: [<2 0 14 15 10|, <0 1 -3 -3 -1|]
Vals: {{Val list| 14c, 16, 30bce, 44bccdee }}


EDOs: {{EDOs| 14c, 16, 30bce, 44bccdee }}
Badness: 0.035694


Badness: 0.0357
== Mohavila ==
[[Comma list]]: 135/128, 1323/1250


== Mohavila  ==
[[Mapping]]: [{{val|1 1 4 7}}, {{val|0 2 -6 -15}}]
Commas: 135/128, 1323/1250


POTE generator: ~25/21 = 337.658
{{Multival|legend=1|2 -6 -15 -14 -29 -18}}


Map: [<1 1 4 7|, <0 2 -6 -15|]
[[POTE generator]]: ~25/21 = 337.658


Wedgie: <<2 -6 -15 -14 -29 -18||
{{Val list|legend=1| 7d, 18b, 25b, 32bd }}


EDOs: {{EDOs| 32bd, 36 }}
[[Badness]]: 0.222377


Badness: 0.2224
=== 11-limit ===
Comma list: 33/32, 45/44, 1323/1250


=== 11-limit  ===
Mapping: [{{val|1 1 4 7 4}}, {{val|0 2 -6 -15 -2}}]
Commas: 33/32, 45/44, 1323/1250


POTE generator: ~25/21 = 337.633
POTE generator: ~25/21 = 337.633


Map: [<1 1 4 7 4|, <0 2 -6 -15 -2|]
Vals: {{Val list| 7d, 18b, 25b, 32bde }}
 
EDOs: {{EDOs| 32bde }}


Badness: 0.0921
Badness: 0.092074


== Mavila listening examples ==
== Mavila 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)]
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