32afdo: Difference between revisions
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{{Infobox AFDO|steps=32}} | {{Infobox AFDO|steps=32}} | ||
'''32afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''32odo''' ([[otonal division]] of the octave), divides the octave into 32 parts of 1/32 each. As a scale it may be known as [[Harmonic mode|mode 32 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-32]] scale. | '''32afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''32odo''' ([[otonal division]] of the octave), divides the octave into 32 parts of 1/32 each. It is a superset of [[31afdo]] and a subset of [[33afdo]]. As a scale it may be known as [[Harmonic mode|mode 32 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-32]] scale. | ||
The smallest [[edo]] that maintains 25% or lower relative error on all intervals of 32afdo is [[3159811edo]]. | |||
== Intervals == | == Intervals == | ||
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# [[61/32]] | # [[61/32]] | ||
# [[31/16]] | # [[31/16]] | ||
# [[ | # [[63/32]] | ||
# [[2/1]] | # [[2/1]] | ||
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{{See also| 5- to 10-tone scales from the modes of the harmonic series }} | {{See also| 5- to 10-tone scales from the modes of the harmonic series }} | ||
* Arcade: 40/32 | * Arcade: {{dash|40/32, 43/32, 48/32, 57/32, 64/32|med}} | ||
* Cosmic: 43/32 | * Cosmic: {{dash|43/32, 48/32, 51/32, 57/32, 64/32|med}} | ||
* ''Loose approximation of [[fluid just intonation]]'': 17/16—9/8—19/16—5/4—43/32—11/8—3/2—13/8—27/16—7/4—29/16—15/8—2/1 | |||
== Music == | == Music == | ||
* [https://www.youtube.com/watch?v=tMSXdCWbRHw How to See Ghosts (demonstration piece)] | ; [[Adam Neely]] | ||
* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17 | |||