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The '''pelogic family''' tempers out [[135/128]], the pelogic comma, also known as the major chroma or major limma. The [[5-limit]] temperament is '''mavila''', so named after the Chopi village where it was discovered, and is the base from which higher limit temperaments are derived. The generator for all of these is a very flat fifth, lying on the spectrum between 7-equal and 9-equal.
{{Technical data page}}
The '''mavila family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] [[135/128]], the mavila comma, also known as the major chroma or major limma. The [[5-limit]] temperament is [[mavila]], so named after the Chopi village where it was discovered, and is the base from which higher limit temperaments are derived. The generator for all of these is a very flat fifth, lying on the spectrum between [[7edo]] and [[9edo]].


One of the most salient and characteristic features of pelogic temperament is that when you stack 4 of the tempered fifths you get to a minor third instead of the usual major third that you would get if the fifths were pure. This also means that the arrangement of small and large steps in a 7-note mavila scale is the inverse of a diatonic scale of 2 small steps and 5 large steps; Mavila has 2 large steps and 5 small steps (see [[2L 5s]]).  
One of the most salient and characteristic features of mavila temperaments is that when you stack 4 of the tempered fifths you get to a minor third instead of the usual major third that you would get if the fifths were pure. This also means that the arrangement of small and large steps in a 7-note mavila scale is the inverse of a diatonic scale of 2 small steps and 5 large steps; mavila has 2 large steps and 5 small steps (see [[2L 5s]]).  


Another salient feature of pelogic temperament is the fact that 9 note MOS scales may be produced, thus giving us three different MOS scales to choose from that are not decidedly chromatic in nature (5, 7, and 9 note scales). This is reflected in the design of the 9 + 7 layout of the Goldsmith keyboard for 16 tone equal temperament (see [[7L 2s]]).  
Another salient feature of mavila temperaments is the fact that 9-note [[mos scale]]s may be produced, thus giving us three different mos scales to choose from that are not decidedly chromatic in nature (5-, 7-, and 9-note scales). This is reflected in the design of the 9 + 7 layout of the Goldsmith keyboard for 16-tone equal temperament (see [[7L 2s]]).  


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


== Mavila ==
[[Subgroup]]: 2.3.5
Subgroup: 2.3.5


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


[[Mapping]]: [{{val|1 0 7}}, {{val|0 1 -3}}]
{{Mapping|legend=1| 1 0 7 | 0 1 -3 }}
: mapping generators: ~2, ~3


[[POTE generator]]: ~3/2 = 679.806
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1208.287{{c}}, ~3/2 = 684.501{{c}}
: [[error map]]: {{val| +8.287 -9.167 -6.667 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 679.111{{c}}
: error map: {{val| 0.000 -22.844 -23.648 }}


[[Tuning ranges]]:  
[[Tuning ranges]]:  
* 5-odd-limit [[diamond monotone]]: ~3/2 = [600.000, 685.714] (1\2 to 4\7)
* [[5-odd-limit]] [[diamond monotone]]: ~3/2 = [600.000, 685.714] (1\2 to 4\7)
* 5-odd-limit [[diamond tradeoff]]: ~3/2 = [671.229, 701.955]
* 5-odd-limit [[diamond tradeoff]]: ~3/2 = [671.229, 701.955] (1/3-comma to Pyth.)
* 5-odd-limit diamond monotone and tradeoff: ~3/2 = [671.229, 685.714]
 
{{Optimal ET sequence|legend=1| 7, 9, 16, 23, 30bc }}
 
[[Badness]] (Sintel): 0.928
 
=== Overview to extensions ===
==== 7-limit extensions ====
The second comma of the [[normal lists|normal comma list]] defines which [[7-limit]] family member we are looking at. That means [[36/35]] for armodue, [[126/125]] for mavling, [[21/20]] for pelogic, [[875/864]] for hornbostel, [[49/48]] for superpelog, [[50/49]] for bipelog, and [[1323/1250]] for mohavila.
 
Temperaments discussed elsewhere include
* ''[[Medusa]]'' (+15/14) → [[Very low accuracy temperaments #Medusa|Very low accuracy temperaments]]
* ''[[Wallaby]]'' (+28/27) → [[Very low accuracy temperaments #Wallaby|Very low accuracy temperaments]]
* ''[[Superpelog]]'' (+49/48) → [[Semaphoresmic clan #Superpelog|Semaphoresmic clan]]
* ''[[Clyndro]]'' (+360/343) → [[Gamelismic clan #Clyndro|Gamelismic clan]]
* ''[[Jamesbond]]'' (+25/24) → [[Whitewood family #Jamesbond|Whitewood family]]
 
Considered below are mavling, pelogic, armodue, hornbostel, bipelog, and mohavila.
 
==== Subgroup extensions ====
Mavila naturally extends to the 2.3.5.11 subgroup, with the generator standing in for ~16/11 and ~22/15, as is given right below.
 
=== 2.3.5.11 subgroup ===
Subgroup: 2.3.5.11
 
Comma list: 33/32, 45/44
 
Subgroup-val mapping: {{mapping| 1 0 7 5 | 0 1 -3 -1 }}
 
Gencom mapping: {{mapping| 1 0 7 0 5 | 0 1 -3 0 -1 }}
 
Optimal tunings:
* WE: ~2 = 1208.454{{c}}, ~3/2 = 684.577{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 678.978{{c}}


{{Val list|legend=1| 7, 9, 16, 23, 30bc }}
{{Optimal ET sequence|legend=0| 7, 16, 23e, 30bce }}


[[Badness]]: 0.039556
Badness (Sintel): 0.424


=== Extensions ===
== Armodue ==
The second comma of the [[Normal lists|normal comma list]] defines which [[7-limit]] family member we are looking at. That means [[126/125]] for septimal mavila, [[21/20]] for pelogic, [[36/35]] for armodue, [[875/864]] for hornbostel, [[49/48]] for superpelog, and [[50/49]] for bipelog.
Armodue, also known as '''hexadecimal''', is the main 7-limit extension of mavila, and also the main temperament of [[Armodue theory]]. It tempers out 36/35, and can be described as the {{nowrap| 7 & 9 }} temperament. 7/4 is mapped to the minor seventh of the antidiatonic scale, where we will find 9/5 in the 5-limit. [[16edo]] shows us an obvious tuning.  


Temperaments discussed elsewhere include [[Trienstonic clan #Wallaby|wallaby]] and [[Dicot family #Jamesbond|jamesbond]].
The name ''armodue'' has been established in 2011 thanks to [[Mike Battaglia]]<ref name="mike's cleanup">[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101194.html Yahoo! Tuning Group | ''Higher-limit mavila extension spring cleaning'']</ref>. The alternative name ''hexadecimal'' was attested as early as 2004<ref name="big temp list">[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_8809.html Yahoo! Tuning Group | ''114 7-limit temperaments'']</ref><ref name="pelogic & hex">[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_9670.html Yahoo! Tuning Group | ''Pelogic and "hexidecimal"'']</ref>.  


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


[[Mapping]]: [{{val|1 0 7 20}}, {{val|0 1 -3 -11}}]
[[Comma list]]: 36/35, 135/128


{{Multival|legend=1|1 -3 -11 -7 -20 -17}}
{{Mapping|legend=1| 1 0 7 -5 | 0 1 -3 5 }}


[[POTE generator]]: ~3/2 = 677.913
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1204.996{{c}}, ~3/2 = 676.803{{c}}
: [[error map]]: {{val| +4.996 -20.157 +3.261 +15.187 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 674.220{{c}}
: error map: {{val| 0.000 -27.735 -8.974 +2.275 }}


[[Tuning ranges]]:  
[[Tuning ranges]]:  
* 7-odd-limit [[diamond monotone]]: ~3/2 = [675.000, 678.261] (9\16 to 13\23)
* [[7-odd-limit]] [[diamond monotone]]: ~3/2 = [666.667, 675.000] (5\9 to 9\16)
* 7-odd-limit [[diamond tradeoff]]: ~3/2 = [671.229, 701.955]
* 7-odd-limit [[diamond tradeoff]]: ~3/2 = [666.718, 701.955]
* 7-odd-limit diamond monotone and tradeoff: ~3/2 = [675.000, 678.261]


{{Val list|legend=1| 7d, 16, 23d }}
{{Optimal ET sequence|legend=1| 7, 9, 16 }}


[[Badness]]: 0.089013
[[Badness]] (Sintel): 1.24


=== 11-limit ===
=== 11-limit ===
Comma list: 33/32, 45/44, 126/125
Subgroup: 2.3.5.7.11
 
Comma list: 33/32, 36/35, 45/44
 
Mapping: {{mapping| 1 0 7 -5 5 | 0 1 -3 5 -1 }}
 
Optimal tunings:
* WE: ~2 = 1205.460{{c}}, ~3/2 = 676.873{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 673.952{{c}}


Mapping: [{{val|1 0 7 20 5}}, {{val|0 1 -3 -11 -1}}]
{{Optimal ET sequence|legend=0| 7, 9, 16 }}


POTE generator: ~3/2 = 677.924
Badness (Sintel): 0.900


Vals: {{Val list| 7d, 16, 23d }}
=== 13-limit ===
Subgroup: 2.3.5.7.11.13


Badness: 0.042049
Comma list: 27/26, 33/32, 36/35, 45/44


== Pelogic ==
Mapping: {{mapping| 1 0 7 -5 5 -1 | 0 1 -3 5 -1 3 }}
[[Comma list]]: 21/20, 135/128


[[Mapping]]: [{{val|1 0 7 9}}, {{val|0 1 -3 -4}}]
Optimal tunings:  
* WE: ~2 = 1205.396{{c}}, ~3/2 = 676.792{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 673.988{{c}}


{{Multival|legend=1|1 -3 -4 -7 -9 -1}}
{{Optimal ET sequence|legend=0| 7, 9, 16 }}


[[POTE generator]]: ~3/2 = 672.853
Badness (Sintel): 0.800


[[Tuning ranges]]:
==== Armodog ====
* 7-odd-limit [[diamond monotone]]: ~3/2 = 666.667 (5\9)
Subgroup: 2.3.5.7.11.13.19
* 7-odd-limit [[diamond tradeoff]]: ~3/2 = [617.488, 701.955]
* 7-odd-limit diamond monotone and tradeoff: ~3/2 = 666.667


{{Val list|legend=1| 7d, 9, 16d }}
Comma list: 27/26, 33/32, 36/35, 39/38, 45/44


[[Badness]]: 0.038661
Subgroup-val mapping: {{mapping| 1 0 7 -5 5 -1 -2 | 0 1 -3 5 -1 3 4 }}


=== 11-limit ===
Optimal tunings:
Comma list: 21/20, 33/32, 45/44
* WE: ~2 = 1204.838{{c}}, ~3/2 = 675.997{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 673.540{{c}}


Mapping: [{{val|1 0 7 9 5}}, {{val|0 1 -3 -4 -1}}]
{{Optimal ET sequence|legend=0| 7, 9, 16, 25bf }}


POTE generator: ~3/2 = 672.644
Badness (Sintel): 0.830


Vals: {{Val list| 7d, 9, 16d }}
== Mavling ==
Mavling tempers out 126/125 and may be described as the {{nowrap| 7d & 16 }} temperament. The 7/4 is mapped to the augmented sixth of the antidiatonic scale.


Badness: 0.022753
This temperament was formerly known as ''septimal mavila'', but decanonicalized in 2025 per community consensus.


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


[[Comma list]]: 36/35, 135/128
[[Comma list]]: 126/125, 135/128


[[Mapping]]: [{{val|1 0 7 -5}}, {{val|0 1 -3 5}}]
{{Mapping|legend=1| 1 0 7 20 | 0 1 -3 -11 }}


{{Multival|legend=1|1 -3 5 -7 5 20}}
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1208.187{{c}}, ~3/2 = 682.538{{c}}
: [[error map]]: {{val| +8.187 -11.230 -1.178 -3.057 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 677.350{{c}}
: error map: {{val| 0.000 -24.605 -18.363 -19.672 }}


[[POTE generator]]: ~3/2 = 673.997
[[Tuning ranges]]:
* [[7-odd-limit]] [[diamond monotone]]: ~3/2 = [675.000, 678.261] (9\16 to 13\23)
* 7-odd-limit [[diamond tradeoff]]: ~3/2 = [671.229, 701.955]


{{Val list|legend=1| 7, 9, 16, 41b, 57bb }}
{{Optimal ET sequence|legend=1| 7d, 16, 23d }}


[[Badness]]: 0.049038
[[Badness]] (Sintel): 2.25


=== 11-limit ===
=== 11-limit ===
Comma list: 33/32, 36/35, 45/44
Subgroup: 2.3.5.7.11
 
Comma list: 33/32, 45/44, 126/125
 
Mapping: {{mapping| 1 0 7 20 5 | 0 1 -3 -11 -1 }}
 
Optimal tunings:
* WE: ~2 = 1208.243{{c}}, ~3/2 = 682.582{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 677.434{{c}}
 
{{Optimal ET sequence|legend=0| 7d, 16, 23de }}
 
Badness (Sintel): 1.39
 
== Pelogic ==
''Pelogic'' (from the Indonesian word ''[[pelog]]'') should probably be pronounced /pɛˈlɒgɪk/ ''pell-LOG-ik''. This name dates back to as early as 2004<ref name="big temp list"/><ref name="pelogic & hex"/> and has been approved of by [[Mike Battaglia]] in 2011, reasoning that Pelog is supposed to be flatter than [[16edo|16-]] or [[23edo]], and this temperament, tempering out 21/20 and described as the {{nowrap| 7d & 9 }} temperament, tends towards such a tuning<ref name="mike's cleanup"/>.


Mapping: [{{val|1 0 7 -5 5}}, {{val|0 1 -3 5 -1}}]
The 7/4 is mapped to the major sixth of the antidiatonic scale.


POTE generator: ~3/2 = 673.807
[[Subgroup]]: 2.3.5.7


Vals: {{Val list| 7, 9, 16, 25b, 41be, 57bbee }}
[[Comma list]]: 21/20, 135/128


Badness: 0.027211
{{Mapping|legend=1| 1 0 7 9 | 0 1 -3 -4 }}


=== 13-limit ===
[[Optimal tuning]]s:
Comma list: 27/26, 33/32, 36/35, 45/44
* [[WE]]: ~2 = 1210.184{{c}}, ~3/2 = 678.563{{c}}
: [[error map]]: {{val| +10.184 -13.208 +18.732 -32.160 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 671.548{{c}}
: error map: {{val| 0.000 -30.407 -0.957 -55.017 }}


Mapping: [{{val|1 0 7 -5 5 -1}}, {{val|0 1 -3 5 -1 3}}]
[[Tuning ranges]]:  
* [[7-odd-limit]] [[diamond monotone]]: ~3/2 = 666.667 (5\9)
* 7-odd-limit [[diamond tradeoff]]: ~3/2 = [617.488, 701.955]


POTE generator: ~3/2 = 673.763
{{Optimal ET sequence|legend=1| 7d, 9, 16d }}


Vals: {{Val list| 7, 9, 16, 41bef, 57bbeef }}
[[Badness]] (Sintel): 0.978


Badness: 0.019351
=== 11-limit ===
Subgroup: 2.3.5.7.11


== Hornbostel ==
Comma list: 21/20, 33/32, 45/44
[[Comma list]]: 135/128, 875/864


[[Mapping]]: [{{val|1 0 7 -16}}, {{val|0 1 -3 12}}]
Mapping: {{mapping| 1 0 7 9 5 | 0 1 -3 -4 -1 }}


{{Multival|legend=1|1 -3 12 -7 16 36}}
Optimal tunings:
* WE: ~2 = 1209.379{{c}}, ~3/2 = 677.901{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 671.507{{c}}


[[POTE generator]]: ~3/2 = 678.947
{{Optimal ET sequence|legend=0| 7d, 9, 16d }}


{{Val list|legend=1| 7, 16d, 23d }}
Badness (Sintel): 0.752


[[Badness]]: 0.121394
== Hornbostel ==
Hornbostel tempers out 729/700 and may be described as the {{nowrap| 7 & 23d }} temperament. The 7/4 is mapped to the diminished seventh of the antidiatonic scale.  


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


[[Mapping]]: [{{val|1 0 7 2}}, {{val|0 2 -6 1}}]
[[Comma list]]: 135/128, 729/700


{{Multival|legend=1|2 -6 1 -14 -4 19}}
{{Mapping|legend=1| 1 0 7 -16 | 0 1 -3 12 }}


[[POTE generator]]: ~8/7 = 259.952
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1207.970{{c}}, ~3/2 = 683.457{{c}}
: [[error map]]: {{val| +7.970 -10.529 -4.805 +0.775 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 679.270{{c}}
: error map: {{val| 0.000 -22.685 -24.124 -17.583 }}


{{Val list|legend=1| 9, 14c, 23d, 37bcd, 60bbccdd }}
{{Optimal ET sequence|legend=1| 7, 16d, 23d, 53bbccd }}


[[Badness]]: 0.058216
[[Badness]] (Sintel): 3.07


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


Mapping: [{{val|1 0 7 2 5}}, {{val|0 2 -6 1 -2}}]
Comma list: 33/32, 45/44, 729/700


POTE generator: ~8/7 = 259.959
Mapping: {{mapping| 1 0 7 -16 5 | 0 1 -3 12 -1 }}


Vals: {{Val list| 9, 14c, 23de, 37bcde }}
Optimal tunings:  
* WE: ~2 = 1208.145{{c}}, ~3/2 = 683.517{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 679.150{{c}}


Badness: 0.028535
{{Optimal ET sequence|legend=0| 7, 16d, 23de, 53bbccdee }}


''[http://micro.soonlabel.com/MOS/20120418-9mos-mindaugas.mp3 Mindaugas Rex Lithuaniae]'' by [http://chrisvaisvil.com/?p=2267 Chris Vaisvil] (in 5\23 tuning)
Badness (Sintel): 1.82


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


[[Mapping]]: [{{val|2 0 14 15}}, {{val|0 1 -3 -3}}]
{{Mapping|legend=1| 2 0 14 15 | 0 1 -3 -3 }}


{{Multival|legend=1|2 -6 -6 -14 -15 3}}
: mapping generators: ~7/5, ~3


[[POTE generator]]: ~3/2 = 681.195
[[Optimal tuning]]s:
* [[WE]]: ~7/5 = 603.757{{c}}, ~3/2 = 685.461{{c}}
: [[error map]]: {{val| +7.514 -8.980 -12.641 +8.604 }}
* [[CWE]]: ~7/5 = 600.000{{c}}, ~3/2 = 680.206{{c}}
: error map: {{val| 0.000 -21.749 -26.932 -9.444 }}


{{Val list|legend=1| 14c, 16, 30bc, 44bccd }}
{{Optimal ET sequence|legend=1| 14c, 30bc, 44bccd }}


[[Badness]]: 0.074703
[[Badness]] (Sintel): 1.89


=== 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


Mapping: [{{val|2 0 14 15 10}}, {{val|0 1 -3 -3 -1}}]
Mapping: {{mapping| 2 0 14 15 10 | 0 1 -3 -3 -1 }}


POTE generator: ~3/2 = 681.280
Optimal tunings:  
* WE: ~7/5 = 603.958{{c}}, ~3/2 = 685.773{{c}}
* CWE: ~7/5 = 600.000{{c}}, ~3/2 = 680.267{{c}}


Vals: {{Val list| 14c, 16, 30bce, 44bccdee }}
{{Optimal ET sequence|legend=0| 14c, 30bce, 44bccdee }}


Badness: 0.035694
Badness (Sintel): 1.18


== Mohavila ==
== Mohavila ==
Named by Mike Battaglia in 2012<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_104134.html Yahoo! Tuning Group | ''Mohavila temperament'']</ref>, mohavila splits the mavila fifth in two. Unlike [[mohaha]], this generator is not used as an ~11/9. In fact, the prime 11 is the same as in mavila, so the ~11/9 is the major third, tempered together with ~5/4. The fifth is only split to derive septimal intervals.
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 135/128, 1323/1250
[[Comma list]]: 135/128, 1323/1250


[[Mapping]]: [{{val|1 1 4 7}}, {{val|0 2 -6 -15}}]
{{Mapping|legend=1| 1 1 4 7 | 0 2 -6 -15 }}


{{Multival|legend=1|2 -6 -15 -14 -29 -18}}
: mapping generators: ~2, ~25/21


[[POTE generator]]: ~25/21 = 337.658
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1208.410{{c}}, ~25/21 = 340.025{{c}}
: [[error map]]: {{val| +8.410 -13.496 +7.177 -10.327 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~25/21 = 337.260{{c}}
: error map: {{val| 0.000 -27.435 -9.872 -27.722 }}


{{Val list|legend=1| 7d, 18b, 25b, 32bd }}
{{Optimal ET sequence|legend=1| 7d, 25b, 32bd }}


[[Badness]]: 0.222377
[[Badness]] (Sintel): 5.63


=== 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


Mapping: [{{val|1 1 4 7 4}}, {{val|0 2 -6 -15 -2}}]
Mapping: {{mapping| 1 1 4 7 4 | 0 2 -6 -15 -2 }}
 
POTE generator: ~25/21 = 337.633
 
Vals: {{Val list| 7d, 18b, 25b, 32bde }}
 
Badness: 0.092074


== Mavila listening examples ==
Optimal tunings:
'''[[Gene Ward Smith]]'''
* WE: ~2 = 1208.211{{c}}, ~25/21 = 339.943{{c}}
*[http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/mushc.ogg Mysterious Mush (spectrally mapped)]
* CWE: ~2 = 1200.000{{c}}, ~25/21 = 337.286{{c}}
*[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


'''[[Mike Battaglia]]'''
{{Optimal ET sequence|legend=0| 7d, 25b, 32bde }}
*[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 The Mavila Experiments - 23-EDO Version]
*[https://soundcloud.com/mikebattagliaexperiments/sets/the-mavila-experiments-25-edo The Mavila Experiments - 25-EDO Version]


'''[[John Moriarty]]'''
Badness (Sintel): 3.04
*''[http://clones.soonlabel.com/public/micro/j_l_moriat/Mavila.mp3 Mavila]''


[[Category:Theory]]
== References ==
[[Category:Temperament family]]
[[Category:Pelogic]]
[[Category:Pelogic family| ]] <!-- main article -->


[[Category:Rank 2]]
[[Category:Mavila family| ]] <!-- main article -->
[[Category:Listen]]
[[Category:Temperament families]]
[[Category:Catalogs of rank-2 temperaments]]
Retrieved from "https://en.xen.wiki/w/Mavila_family"