Marvel family: Difference between revisions
m Cleanup +1 |
m Cleanup +2 and prepare for databoxes |
||
| Line 10: | Line 10: | ||
= Marvel = | = Marvel = | ||
{{main| Marvel }} | |||
The head of the marvel family is marvel, which tempers out [[225/224]]. Marvel has a [[Normal lists|normal list basis]] of [2, 3, 5]; hence a [[5-limit]] scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by [[197edo]]. | The head of the marvel family is marvel, which tempers out [[225/224]]. Marvel has a [[Normal lists|normal list basis]] of [2, 3, 5]; hence a [[5-limit]] scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by [[197edo]]. | ||
Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to [[catakleismic temperament]]. Another temperament which does little damage to tuning accuracy is [[compton temperament]], for which [[240edo]] may be used. | Little is gained in tuning accuracy by not tempering out 4375/4374 as well as 225/224, leading to [[catakleismic temperament]]. Another temperament which does little damage to tuning accuracy is [[compton temperament]], for which [[240edo]] may be used. See [[marvel temperaments]] for some other rank-2 temperaments. | ||
Period: 1\1 | |||
Optimal ([[POTE]]) generators: | |||
[[ | |||
EDO generators: | |||
Scales (Scala files): [[marvel9]], [[marvel10]], [[marvel11]], [[marvel12]], [[marvel19]], [[marvel22]], [[pump12_1]], [[pump12_2]], [[pump13]], [[pump14]], [[pump15]], [[pump16]], [[pump17]], [[pump18]] | |||
[[Associated temperament]]: [[catakleismic]] | [[Associated temperament]]: [[catakleismic]] | ||
; Technical data | |||
[[Comma list]]: c = 225/224 | |||
Mapping: [{{val| 1 0 0 -5 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 2 }}] | Mapping: [{{val| 1 0 0 -5 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 2 }}] | ||
| Line 47: | Line 56: | ||
[[Complexity spectrum]]: 4/3, 5/4, 7/5, 7/6, 8/7, 6/5, 9/8, 9/7, 10/9 | [[Complexity spectrum]]: 4/3, 5/4, 7/5, 7/6, 8/7, 6/5, 9/8, 9/7, 10/9 | ||
; [[Minkowski blocks]] | |||
{2, 3, 5} subgroup | {2, 3, 5} subgroup | ||
* 8: 16/15, 250/243 | * 8: 16/15, 250/243 | ||
| Line 65: | Line 72: | ||
* 41: 34171875/33554432, 3125/3072 | * 41: 34171875/33554432, 3125/3072 | ||
; Music | |||
* [http://chrisvaisvil.com/?p=314 Semimarvelous Blue Drawf] by [[Chris Vaisvil]] | * [http://chrisvaisvil.com/?p=314 Semimarvelous Blue Drawf] by [[Chris Vaisvil]] | ||
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3 notJoelTaylorsTreeSpirit-Marvel10-2] by [[Billy Stiltner]] | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3 notJoelTaylorsTreeSpirit-Marvel10-2] by [[Billy Stiltner]] | ||
| Line 77: | Line 84: | ||
= 11-limit (unimarv) = | = 11-limit (unimarv) = | ||
[[ | |||
Period: 1\1 | |||
Optimal ([[POTE]]) generators: | |||
EDO generators: | |||
Scales (Scala files): [[marvel22_11]], [[unimarv19]], [[unimarv22]] | |||
[[Associated temperament]]: [[catakleismic]] | [[Associated temperament]]: [[catakleismic]] | ||
; Technical data | |||
[[Comma list]]: 225/224, 385/384 | |||
Mapping: [{{val| 1 0 0 -5 12 }}, {{val| 0 1 0 2 -1 }}, {{val| 0 0 1 2 -3 }}] | Mapping: [{{val| 1 0 0 -5 12 }}, {{val| 0 1 0 2 -1 }}, {{val| 0 0 1 2 -3 }}] | ||
| Line 104: | Line 122: | ||
[[Complexity spectrum]]: 5/4, 4/3, 7/6, 8/7, 7/5, 6/5, 9/7, 12/11, 9/8, 11/8, 11/9, 10/9, 11/10, 14/11 | [[Complexity spectrum]]: 5/4, 4/3, 7/6, 8/7, 7/5, 6/5, 9/7, 12/11, 9/8, 11/8, 11/9, 10/9, 11/10, 14/11 | ||
; Hobbit bases | |||
{2, 3, 5} subgroup | {2, 3, 5} subgroup | ||
* 12: 128/125, 2048/2025 | * 12: 128/125, 2048/2025 | ||
* 15: 128/125, 32768/30375 | * 15: 128/125, 32768/30375 | ||