33afdo: Difference between revisions

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Created page with "{{Infobox AFDO|steps=33}} '''33afdo''' (arithmetic frequency division of the octave), or '''33odo''' (otonal division of the octave), divides the octave into 33..."
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{{Infobox AFDO|steps=33}}
{{Infobox AFDO|steps=33}}


'''33afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''33odo''' ([[otonal division]] of the octave), divides the octave into 33 parts of 1/33 each. As a scale it may be known as [[Harmonic mode|mode 33 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-33]] scale. It is also the first odd AFDO to have a diatonic fifth from its root.
'''33afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''33odo''' ([[otonal division]] of the octave), divides the octave into 33 parts of 1/33 each. It is a superset of [[32afdo]] and a subset of [[34afdo]]. As a scale it may be known as [[Harmonic mode|mode 33 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-33]] scale. It is also the first odd afdo to have a diatonic fifth from its root, although for both fifths to be diatonic, [[37afdo]] is necessary.

Latest revision as of 11:30, 23 February 2025

← 32afdo 33afdo 34afdo →
Prime factorization 3 × 11
Dual sharp fifth 50/33 (719.354c)
Dual flat fifth 49/33 (684.378c)

33afdo (arithmetic frequency division of the octave), or 33odo (otonal division of the octave), divides the octave into 33 parts of 1/33 each. It is a superset of 32afdo and a subset of 34afdo. As a scale it may be known as mode 33 of the harmonic series or the Over-33 scale. It is also the first odd afdo to have a diatonic fifth from its root, although for both fifths to be diatonic, 37afdo is necessary.