32afdo: Difference between revisions
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Replaced scale interval #31 [61/31], which was apparently inserted by mistake, with [63/32] |
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'''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. 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 == | ||
Revision as of 12:02, 12 February 2025
32afdo (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 mode 32 of the harmonic series or the Over-32 scale.
The smallest EDO that maintains 25% or lower relative error on all intervals of 32afdo is 3159811edo.
Intervals
- 33/32
- 17/16
- 35/32
- 9/8
- 37/32
- 19/16
- 39/32
- 5/4
- 41/32
- 21/16
- 43/32
- 11/8
- 45/32
- 23/16
- 47/32
- 3/2
- 49/32
- 25/16
- 51/32
- 13/8
- 53/32
- 27/16
- 55/32
- 7/4
- 57/32
- 29/16
- 59/32
- 15/8
- 61/32
- 31/16
- 63/32
- 2/1
Scales
- Arcade: 40/32 – 43/32 – 48/32 – 57/32 – 64/32
- Cosmic: 43/32 – 48/32 – 51/32 – 57/32 – 64/32
Music
- How to See Ghosts (demonstration piece) by Adam Neely (2018) – The piece starts at 10:17