|
|
| (8 intermediate revisions by 6 users not shown) |
| Line 1: |
Line 1: |
| These temper out the avicennma, [[525/512]], also known as Avicenna's enharmonic diesis. Avicennmic temperaments include [[negri]], [[Dicot family|dichotic]], [[flattone]], [[hexadecimal]], [[muggles]], [[lemba]], [[Augmented family|deflated]], and [[pycnic]].
| | {{Technical data page}} |
| | 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: |
| {{see also|Wesley family #Roman}}
| | * ''[[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]] |
|
| |
|
| === 7-limit (Crusher) ===
| |
| Subgroup: 2.3.5.7
| |
|
| |
| [[Comma list]]: 525/512, 3125/3024
| |
|
| |
| [[Mapping]]: [{{Val|1 4 3 -1}}, {{Val|0 -7 -2 11}}]
| |
|
| |
| {{Multival|legend=1|7 2 -11 -13 -37 -31}}
| |
|
| |
| [[POTE generator]]: ~63/50 = 414.552
| |
|
| |
| {{Val list|legend=1| 3, 23, 26, 29, 55c }}
| |
|
| |
| [[Badness]]: 0.113386
| |
|
| |
| === 11-limit ===
| |
| Subgroup: 2.3.5.7.11
| |
|
| |
| Comma list: 100/99, 245/242, 525/512
| |
|
| |
| Mapping: [{{Val|1 4 3 -1 0}}, {{Val|0 -7 -2 11 10}}]
| |
|
| |
| POTE generator: ~14/11 = 414.471
| |
|
| |
| Vals: {{Val list| 3, 23, 26, 29, 55c }}
| |
|
| |
| Badness: 0.052841
| |
|
| |
| === 13-limit ===
| |
| Subgroup: 2.3.5.7.11.13
| |
|
| |
| Comma list: 65/64, 100/99, 105/104, 245/242
| |
|
| |
| Mapping: [{{Val|1 4 3 -1 0 3}}, {{Val|0 -7 -2 11 10 2}}]
| |
|
| |
| POTE generator: ~14/11 = 414.472
| |
|
| |
| Vals: {{Val list| 3, 23, 26, 29, 55cf }}
| |
|
| |
| Badness: 0.030043
| |
|
| |
| === 17-limit ===
| |
| Subgroup: 2.3.5.7.11.13.17
| |
|
| |
| Comma list: 35/34, 52/51, 65/64, 100/99, 121/119
| |
|
| |
| Mapping: [{{Val|1 4 3 -1 0 3 1}}, {{Val|0 -7 -2 11 10 2 9}}]
| |
|
| |
| POTE generator: ~14/11 = 414.164
| |
|
| |
| Vals: {{Val list| 3, 26g, 29 }}
| |
|
| |
| Badness: 0.041555
| |
|
| |
| === 19-limit ===
| |
| Subgroup: 2.3.5.7.11.13.17.19
| |
|
| |
| Comma list: 35/34, 52/51, 65/64, 100/99, 121/119, 133/132
| |
|
| |
| Mapping: [{{Val|1 4 3 -1 0 3 1 7}}, {{Val|0 -7 -2 11 10 2 9 -8}}]
| |
|
| |
| POTE generator: ~14/11 = 414.130
| |
|
| |
| Vals: {{Val list| 3, 26g, 29 }}
| |
|
| |
| Badness: 0.033730
| |
|
| |
| == Secund ==
| |
| {{see also|Greenwoodmic temperaments #Secund}}
| |
|
| |
| Subgroup: 2.3.5.7
| |
|
| |
| [[Comma list]]: 405/392, 525/512
| |
|
| |
| [[Mapping]]: [{{val|1 1 3 2}}, {{val|0 5 -6 7}}]
| |
|
| |
| {{Multival|legend=1|5 -6 7 -21 -3 33}}
| |
|
| |
| [[POTE generator]]: ~16/15 = 137.958
| |
|
| |
| {{Val list|legend=1| 9, 17, 26, 61bc, 87bcc }}
| |
|
| |
| [[Badness]]: 0.089840
| |
|
| |
| === 11-limit ===
| |
| Subgroup: 2.3.5.7.11
| |
|
| |
| Comma list: 45/44, 99/98, 385/384
| |
|
| |
| Mapping: [{{val|1 1 3 2 3}}, {{val|0 5 -6 7 4}}]
| |
|
| |
| POTE generator: ~12/11 = 137.900
| |
|
| |
| Vals: {{Val list| 9, 17, 26, 61bc, 87bcc }}
| |
|
| |
| Badness: 0.042562
| |
|
| |
| === 13-limit ===
| |
| Subgroup: 2.3.5.7.11.13
| |
|
| |
| Comma list: 27/26, 45/44, 99/98, 385/384
| |
|
| |
| Mapping: [{{val|1 1 3 2 3 2}}, {{val|0 5 -6 7 4 15}}]
| |
|
| |
| POTE generator: ~12/11 = 136.937
| |
|
| |
| Vals: {{Val list| 9, 26f, 35 }}
| |
|
| |
| Badness: 0.049684
| |
|
| |
| === Secundly ===
| |
| Subgroup: 2.3.5.7.11.13
| |
|
| |
| Comma list: 45/44, 65/64, 78/77, 99/98
| |
|
| |
| Mapping: [{{val|1 1 3 2 3 3}}, {{val|0 5 -6 7 4 6}}]
| |
|
| |
| POTE generator: ~12/11 = 137.917
| |
|
| |
| Vals: {{Val list| 9, 17, 26, 61bcf, 87bccf }}
| |
|
| |
| Badness: 0.026212
| |
|
| |
| [[Category:Theory]]
| |
| [[Category:Temperament collections]] | | [[Category:Temperament collections]] |
| [[Category:Avicennmic]] | | [[Category:Pages with mostly numerical content]] |
| | [[Category:Avicennmic temperaments| ]] <!-- main article --> |
| | [[Category:Avicennmic| ]] <!-- key article --> |
| [[Category:Rank 2]] | | [[Category:Rank 2]] |