Ragismic microtemperaments: Difference between revisions
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The ragisma is [[4375/4374]] with a [[monzo]] of {{monzo|-1 -7 4 1}}, the smallest 7-limit [[superparticular]] ratio. Since (10/9)^4 = 4375/4374 * 32/21, the minor tone 10/9 tends to be an interval of relatively low [[complexity]] in temperaments tempering out the ragisma, though when looking at [[microtemperament]]s the word "relatively" should be emphasized. Even so mitonic uses it as a generator, which ennealimmal and enneadecal can do also, and amity reaches it in three generators. We also have 7/6 = 4375/4374 * (27/25)^2, so 27/25 also tends to relatively low complexity, with the same caveat about "relatively"; however 27/25 is the period for ennealimmal. | The ragisma is [[4375/4374]] with a [[monzo]] of {{monzo|-1 -7 4 1}}, the smallest 7-limit [[superparticular]] ratio. Since (10/9)^4 = 4375/4374 * 32/21, the minor tone 10/9 tends to be an interval of relatively low [[complexity]] in temperaments tempering out the ragisma, though when looking at [[microtemperament]]s the word "relatively" should be emphasized. Even so mitonic uses it as a generator, which ennealimmal and enneadecal can do also, and amity reaches it in three generators. We also have 7/6 = 4375/4374 * (27/25)^2, so 27/25 also tends to relatively low complexity, with the same caveat about "relatively"; however 27/25 is the period for ennealimmal. | ||
Temperaments discussed elsewhere include [[Jubilismic clan #Crepuscular| | Temperaments discussed elsewhere include: | ||
* ''[[Hystrix]]'', {36/35, 160/147} → [[Porcupine family #Hystrix|Porcupine family]] | |||
* ''[[Crepuscular]]'', {50/49, 4375/4374} → [[Jubilismic clan #Crepuscular|Jubilismic clan]] and [[Fifive family #Crepuscular|Fifive family]] | |||
* ''[[Modus]]'', {64/63, 4375/4374} → [[Tetracot family #Modus|Tetracot family]] | |||
* ''[[Flattone]]'', {81/80, 525/512} → [[Meantone family #Flattone|Meantone family]] | |||
* [[Sensi]], {126/125, 245/243} → [[Sensipent family #Sensi|Sensipent family]] and [[Sensamagic clan #Sensi|Sensamagic clan]] | |||
* [[Catakleismic]], {225/224, 4375/4374} → [[Kleismic family #Catakleismic|Kleismic family]] | |||
* [[Unidec]], {1029/1024, 4375/4374} → [[Gamelismic clan #Unidec|Gamelismic clan]] | |||
* ''[[Quartonic]]'', {1728/1715, 4000/3969} → [[Orwellismic temperaments #Quartonic|Orwellismic temperaments]] | |||
* ''[[Maja]]'', {2430/2401, 3125/3087} → [[Maja family #Septimal maja|Maja family]] | |||
* [[Pontiac]], {4375/4374, 32805/32768} → [[Schismatic family #Pontiac|Schismatic family]] | |||
* ''[[Zarvo]]'', {4375/4374, 33075/32768} → [[Gravity family #Zarvo|Gravity family]] | |||
* ''[[Whirrschmidt]]'', {4375/4374, 393216/390625} → [[Würschmidt family #Whirrschmidt|Würschmidt family]] | |||
* ''[[Mitonic]]'', {4375/4374, 2100875/2097152} → [[Minortonic family #Mitonic|Minortonic family]] | |||
* ''[[Vishnu]]'', {4375/4374, 29360128/29296875} → [[Vishnuzmic family #Septimal vishnu|Vishnuzmic family]] | |||
* ''[[Vulture]]'', {4375/4374, 33554432/33480783} → [[Vulture family #Septimal vulture|Vulture family]] | |||
* ''[[Trillium]]'', {4375/4374, {{monzo| 40 -22 -1 -1 }}} → [[Tricot family #Trillium|Tricot family]] | |||
* ''[[Quindro]]'', {4375/4374, {{monzo| 56 -28 -5 }}} → [[Quindromeda family #Quindro|Quindromeda family]] | |||
== Ennealimmal == | == Ennealimmal == | ||
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Badness: 0.053780 | Badness: 0.053780 | ||
[[Category:Abigail]] | [[Category:Abigail]] | ||