8afdo: Difference between revisions

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'''8afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''8odo''' ([[otonal division]] of the octave), divides the octave into eight parts of 1/8 each. As a scale it may be known as [[Harmonic mode|mode 8 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-8]] scale. [[Dante Rosati]] calls this the "Diatonic harmonic series scale". Because 8 is a power of 2, 8afdo corresponds to the 8th to 16th harmonics octave-reduced. 8afdo is a highly effective scale. Above its root it contains many commonly-used intervals such as [[9/8]], [[5/4]], [[3/2]], [[7/4]], [[15/8]], and [[2/1]].
'''8afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''8odo''' ([[otonal division]] of the octave), divides the octave into eight parts of 1/8 each. As a scale it may be known as [[Harmonic mode|mode 8 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-8]] scale. [[Dante Rosati]] calls this the "Diatonic harmonic series scale". Because 8 is a power of 2, 8afdo corresponds to the 8th to 16th harmonics octave-reduced. 8afdo is a highly effective scale. Above its root it contains many commonly-used intervals such as [[9/8]], [[5/4]], [[3/2]], [[7/4]], [[15/8]], and [[2/1]].
The smallest [[EDO]] that maintains 25% or lower relative error on all intervals of 8afdo is [[87edo]].


== Intervals ==
== Intervals ==