37afdo: Difference between revisions

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{{Infobox AFDO|steps=37}}
{{Infobox AFDO|steps=37}}


'''37afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''37odo''' ([[otonal division]] of the octave), divides the octave into 37 parts of 1/37 each. As a scale it may be known as [[Harmonic mode|mode 37 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-37]] scale.
'''37afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''37odo''' ([[otonal division]] of the octave), divides the octave into 37 parts of 1/37 each. It is a superset of [[36afdo]] and a subset of [[38afdo]]. As a scale it may be known as [[Harmonic mode|mode 37 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-37]] scale.


It is the first odd AFDO in which both fifths (all odd AFDOs being either dual-fifth or fifthless) are diatonic, and has the incredibly accurate [[44/37]] quarter-octave.
It is the first odd afdo in which both fifths (all odd afdos being either dual-fifth or fifthless) are diatonic, and has the incredibly accurate [[44/37]] quarter-octave.

Latest revision as of 11:32, 23 February 2025

← 36afdo 37afdo 38afdo →
Prime factorization 37 (prime)
Dual sharp fifth 56/37 (717.481c)
Dual flat fifth 55/37 (686.287c)

37afdo (arithmetic frequency division of the octave), or 37odo (otonal division of the octave), divides the octave into 37 parts of 1/37 each. It is a superset of 36afdo and a subset of 38afdo. As a scale it may be known as mode 37 of the harmonic series or the Over-37 scale.

It is the first odd afdo in which both fifths (all odd afdos being either dual-fifth or fifthless) are diatonic, and has the incredibly accurate 44/37 quarter-octave.