Vulture family: Difference between revisions

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m Septimal vulture: correct word order
Septimal vulture: being a microtemp isn't a cause of finding prime 7 at -56 gensteps. Explain how -56 can be derived from the garischisma
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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. Due to being a microtemperament, to find the mapping of 7, you need 56 generators, so that the smallest mos scale that finds it is the 58-note one, though for larger scope for harmony, you could try the 111- or 164-note one. (For a much simpler mapping of 7 at the cost of higher error, you could try [[#Buzzard]].)
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. The harmonic 7 is found at -14 fifths or {{nowrap| (-14) × 4 {{=}} -56 }} generator steps, so that the smallest mos scale that includes it is the 58-note one, though for larger scope for harmony, you could try the 111- or 164-note one. For a much simpler mapping of 7 at the cost of higher error, you could try [[#Buzzard|buzzard]].


[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7