Avicennmic temperaments: Difference between revisions

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{{Technical data page}}
These temper out the avicennma, [[525/512]], also known as Avicenna's enharmonic diesis. Avicennmic temperaments include negri, flattone, hexadecimal, muggles, lemba and roman.
This is a collection of [[rank-2 temperament|rank-2]] [[temperament]]s [[tempering out]] the avicennma, [[525/512]], also known as Avicenna's enharmonic diesis.  


== Roman ==
See:
Commas: 525/512, 4000/3969
* ''[[Dichotic]]'' (+25/24) → [[Dicot family #Dichotic|Dicot family]]
* ''[[Armodue (temperament)|Armodue]]'' (+36/35) → [[Mavila family #Pelogic|Mavila family]]
* [[Negri]] (+49/48) → [[Semaphoresmic clan #Negri|Semaphoresmic clan]]
* [[Lemba]] (+50/49) → [[Jubilismic clan #Lemba|Jubilismic clan]]
* [[Flattone]] (+81/80) → [[Meantone family #Flattone|Meantone family]]
* [[Muggles]] (+126/125) → [[Magic family #Muggles|Magic family]]
* ''[[Deflated]]'' (+21/20) → [[Augmented family #Deflated|Augmented family]]
* ''[[Pycnic]]'' (+245/243) → [[Sensamagic clan #Pycnic|Sensamagic clan]]
* ''[[Secund]]'' (+405/392) → [[Greenwoodmic temperaments #Secund|Greenwoodmic temperaments]]
* ''[[Roman]]'' (+3125/3024) → [[Wesley family #Roman|Wesley family]]


[[POTE_tuning|POTE generator]]: ~63/50 = 414.552
[[Category:Temperament collections]]
 
[[Category:Pages with mostly numerical content]]
Map: [<1 4 3 -1|, <0 -7 -2 11|]
[[Category:Avicennmic temperaments| ]] <!-- main article -->
 
[[Category:Avicennmic| ]] <!-- key article -->
Wedgie: &lt;&lt;7 2 -11 -13 -37 -31||
 
EDOs: [[23edo|23]], [[26edo|26]], [[29edo|29]], [[55edo|55c]]
 
Badness: 0.1134
 
=== 11-limit ===
Commas: 100/99, 245/242, 1375/1344
 
[[POTE_tuning|POTE generator]]: ~14/11 = 414.471
 
Map: [&lt;1 4 3 -1 0|, &lt;0 -7 -2 11 10|]
 
EDOs: 23, 26, 29, 55c
 
Badness: 0.0528
 
=== 13-limit ===
Commas: 65/64, 100/99, 105/104, 245/243
 
[[POTE_tuning|POTE generator]]: ~14/11 = 414.472
 
Map: [&lt;1 4 3 -1 0 3|, &lt;0 -7 -2 11 10 2|]
 
EDOs: 23, 26, 29, 55
 
Badness: 0.0300
 
=== 17-limit ===
Commas: 35/34, 52/51, 100/99, 169/168, 275/273
 
[[POTE_tuning|POTE generator]]: ~14/11 = 414.164
 
Map: [&lt;1 4 3 -1 0 3 1|, &lt;0 -7 -2 11 10 2 9|]
 
EDOs: 26, 29, [[84edo|84]], [[113edo|113]]
 
Badness: 0.0416
 
=== 19-limit ===
Commas: 35/34, 52/51, 100/99, 121/119, 133/132, 169/168
 
[[POTE_tuning|POTE generator]]: ~14/11 = 414.130
 
Map: [&lt;1 4 3 -1 0 3 1 7|, &lt;0 -7 -2 11 10 2 9 -8|]
 
EDOs: 26g, 29
 
Badness: 0.0337
 
== Secund ==
Commas: 405/392, 525/512
 
POTE generator: ~16/15 = 137.958
 
Map: [&lt;1 1 3 2|, &lt;0 5 -6 7|]
 
Wedgie: &lt;&lt;5 -6 7 -21 -3 33||
 
EDOs: [[9edo|9]], [[17edo|17]], 26, [[61edo|61bc]], [[87edo|87bc]]
 
Badness: 0.0898
 
=== 11-limit ===
Commas: 45/44, 99/98, 385/384
 
POTE generator: ~12/11 = 137.900
 
Map: [&lt;1 1 3 2 3|, &lt;0 5 -6 7 4|]
 
EDOs: 9, 17, 26, 61bc, 87bc
 
Badness: 0.0426
 
=== 13-limit ===
Commas: 27/26, 45/44, 99/98, 385/384
 
POTE generator: ~12/11 = 136.937
 
Map: [&lt;1 1 3 2 3 2|, &lt;0 5 -6 7 4 15|]
 
EDOs: 9, 26f, [[35edo|35]]
 
Badness: 0.0497
 
=== Secundly ===
Commas: 45/44, 78/77, 81/80, 640/637
 
POTE generator: ~12/11 = 137.917
 
Map: [&lt;1 1 3 2 3 3|, &lt;0 5 -6 7 4 6|]
 
EDOs: 9, 17, 26, 61bcf, 87bcf
 
Badness: 0.0262
 
[[Category:Theory]]
[[Category:Temperament]]
[[Category:Avicennmic]]
[[Category:Rank 2]]
[[Category:Rank 2]]

Latest revision as of 14:14, 6 September 2025

This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

This is a collection of rank-2 temperaments tempering out the avicennma, 525/512, also known as Avicenna's enharmonic diesis.

See: