Harmonics 37–74: Difference between revisions

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{{Infobox AFDO|steps=37}}
{{Infobox harmonics|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.
{{Harmonics intro|37}}


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-numbered mode in which both fifths (all odd-numbered modes being either dual-fifth or fifthless) are diatonic, and has the incredibly accurate [[44/37]] quarter-octave.
 
{{Navbox harmonics}}

Latest revision as of 00:39, 11 October 2026

Harmonics 37–74
Prime factorization 37 (prime)
Dual sharp fifth 56/37 (717.482c)
Dual flat fifth 55/37 (686.288c)

The harmonics 37–74 (also harmonic series segment 37::74 or harmonic series mode 37) are a scale that consists of harmonics 37 through 74 (37:38:…:74) and repeats at the octave. Used as a tuning system, it is also called 37afdo.

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

View • Talk • EditOvertone scales 
Small modes 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24
Larger modes 30 • 32 • 36 • 48 • 60 • 128
Families /2: 2 • 4 • 8 • 16 • 32 • 128
/3: 3 • 6 • 9 • 12 • 15 • 18 • 21 • 24
/5: 5 • 10 • 15 • 20 • 25 • 30 • 35 • 60 • 80
/7: 7 • 14 • 21 • 28 • 35 • 56
/11: 11 • 22 • 33
/13: 13 • 26
Related Harmonic series • Subharmonic series • Carlos harmonic scale • Ringer scale • Primodality