Marvel temperaments: Difference between revisions
-marvo (moved to gravity family as a strong extension thereof) |
-passive (addressed in passion family) |
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* ''[[Septimal meantone]]'', {81/80, 126/125} → [[Meantone family #Septimal meantone]] | * ''[[Septimal meantone]]'', {81/80, 126/125} → [[Meantone family #Septimal meantone]] | ||
* [[Magic]], {225/224, 245/243}, also in: [[Magic family #Magic|magic family]] | * [[Magic]], {225/224, 245/243}, also in: [[Magic family #Magic|magic family]] | ||
* [[Passive]], {225/224, 256/245} → [[Passion family #Passive]] | |||
* [[Miracle]], {225/224, 1029/1024}, also in: [[Gamelismic clan #Miracle|gamelismic clan]] | * [[Miracle]], {225/224, 1029/1024}, also in: [[Gamelismic clan #Miracle|gamelismic clan]] | ||
* [[Orwell]], {225/224, 1728/1715}, also in: [[Semicomma family #Orwell|semicomma family]] | * [[Orwell]], {225/224, 1728/1715}, also in: [[Semicomma family #Orwell|semicomma family]] | ||
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* ''[[Marvo]]'', {225/224, 78125000/78121827} → [[Gravity family #Marvo]] | * ''[[Marvo]]'', {225/224, 78125000/78121827} → [[Gravity family #Marvo]] | ||
Considered below are negri | Considered below are negri, 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: 0.016828 | Badness: 0.016828 | ||
== Wizard == | == Wizard == | ||