Harmonics 33–66: Difference between revisions

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{{Infobox AFDO|steps=33}}
{{Infobox harmonics|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. 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.
{{Harmonics intro|33}} It is also the first odd-numbered mode to have a diatonic fifth from its root, although for both fifths to be diatonic, [[Harmonics 37–74|harmonics 37–74]] is necessary.
 
{{Navbox harmonics}}

Latest revision as of 00:38, 11 October 2026

Harmonics 33–66
Prime factorization 3 × 11
Dual sharp fifth 50/33 (719.354c)
Dual flat fifth 49/33 (684.379c)

The harmonic segment 33::66 (also harmonics 33–66) consists of harmonics 33 through 66 (33:34:…:66) and spans one octave above the root. Used as a scale, it is also called mode 33 of the harmonic series. It is also the first odd-numbered mode to have a diatonic fifth from its root, although for both fifths to be diatonic, harmonics 37–74 is necessary.

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