Marvel temperaments: Difference between revisions
Tag: Undo |
-marvo (moved to gravity family as a strong extension thereof) |
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Temperaments considered in families and clans are: | Temperaments considered in families and clans are: | ||
* ''[[ | * ''[[Sharp]]'', {25/24, 28/27} → [[Dicot family #Sharp]] | ||
* ''[[ | * ''[[Pelogic]]'', {21/20, 135/128} → [[Pelogic family #Pelogic]] | ||
* ''[[ | * ''[[August]]'', {36/35, 128/125} → [[Augmented family #August]] | ||
* [[ | * [[Pajara]], {50/49, 64/63}, also in: [[Diaschismic family #Pajara|diaschismic family]] | ||
* ''[[ | * ''[[Septimal meantone]]'', {81/80, 126/125} → [[Meantone family #Septimal meantone]] | ||
* [[ | * [[Magic]], {225/224, 245/243}, also in: [[Magic family #Magic|magic family]] | ||
* [[ | * [[Miracle]], {225/224, 1029/1024}, also in: [[Gamelismic clan #Miracle|gamelismic clan]] | ||
* [[ | * [[Orwell]], {225/224, 1728/1715}, also in: [[Semicomma family #Orwell|semicomma family]] | ||
* [[Garibaldi temperament| | * [[Garibaldi temperament|Garibaldi]], {225/224, 3125/3087}, also in: [[Schismatic family #Garibaldi|schismatic family]] | ||
* [[ | * [[Catakleismic]], {225/224, 4375/4374}, also in: [[Kleismic family #Catakleismic|kleismic family]] | ||
* ''[[ | * ''[[Decic]]'', {225/224, 16807/16384} → [[Cloudy clan #Decic]] | ||
* ''[[ | * ''[[Escapade]]'', {225/224, 65625/65536} → [[Escapade family #Escapade]] | ||
* ''[[ | * ''[[Fog]]'', {225/224, 156250/151263} → [[Misty family #Fog]] | ||
* ''[[ | * ''[[Compton]]'', {225/224, 250047/250000} → [[Compton family #Compton]] | ||
* ''[[ | * ''[[Houborizic]]'' {225/224, 1250000/1240029} → [[Amity family #Houborizic]] | ||
* ''[[ | * ''[[Qintosec]]'', {225/224, 2560000/2470629} → [[Qintosec family #Qintosec]] | ||
* ''[[ | * ''[[Maquila]]'', {225/224, 30233088/28824005} → [[Maquila family #Maquila]] | ||
* ''[[Marvo]]'', {225/224, 78125000/78121827} → [[Gravity family #Marvo]] | |||
Considered below are negri, wizard, tritonic, septimin, slender, triton, merman | Considered below are negri, passive, wizard, tritonic, septimin, slender, triton, merman, marvolo, amavil, enneaportent, submajor, alphorn, tertiosec, gwazy, gracecordial, and quintapole. | ||
Since (5/4)<sup>2</sup> = 225/224 × 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess a version of the augmented triad where each third approximates either 5/4 or 9/7. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as two stacked major thirds and a diminished fourth, which is what it is in meantone, than as the modern version of three stacked very sharp major thirds. | Since (5/4)<sup>2</sup> = 225/224 × 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess a version of the augmented triad where each third approximates either 5/4 or 9/7. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as two stacked major thirds and a diminished fourth, which is what it is in meantone, than as the modern version of three stacked very sharp major thirds. | ||
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Badness: 0.025913 | Badness: 0.025913 | ||
== Marvolo == | == Marvolo == | ||
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== Amavil == | == Amavil == | ||
=== 5-limit ( | === 5-limit (mabila) === | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||