Vulture family: Difference between revisions
→Buzzard: +tunings and error maps |
+intro to classical vulture. 53 & 217 -> 53 & 270 (217 and 323 are about as viable so I no longer think 53 & 217 is the best description) |
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The '''vulture family''' of [[temperament]]s [[tempering out|tempers out]] the [[vulture comma]] ({{monzo|legend=1| 24 -21 4 }}, [[ratio]]: 10485760000/10460353203), a small [[5-limit]] comma of 4.2 [[cent]]s. | The '''vulture family''' of [[temperament]]s [[tempering out|tempers out]] the [[vulture comma]] ({{monzo|legend=1| 24 -21 4 }}, [[ratio]]: 10485760000/10460353203), a small [[5-limit]] comma of 4.2 [[cent]]s. | ||
Temperaments discussed elsewhere | Temperaments discussed elsewhere include [[Landscape microtemperaments #Terture|terture]]. Considered below are septimal vulture, buzzard, condor, eagle, and turkey. | ||
== Vulture == | == Vulture == | ||
The generator of the vulture temperament is a grave fourth of [[320/243]], that is, a [[4/3|perfect fourth]] minus a [[81/80|syntonic comma]]. Four of these make a [[3/1|perfect twelfth]]. Its [[ploidacot]] is alpha-tetracot. | |||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
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== Septimal vulture == | == Septimal vulture == | ||
Septimal vulture can be described as the {{nowrap| 53 & 270 }} microtemperament, tempering out the [[ragisma]], 4375/4374 and the [[garischisma]], 33554432/33480783 ({{monzo| 25 -14 0 -1 }}) aside from the vulture comma. [[270edo]] is a good tuning for this temperament, with generator 107\270, and [[mos scale]]s of 3, 5, 8, 13, 18, 23, 28, 33, 38, 43, 48, or 53 notes are available. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||