33afdo: Difference between revisions

Latest revision as of 11:30, 23 February 2025

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.

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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, although for both fifths to be diatonic, [[37afdo]] is necessary.		'''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.