Harmonics 36–72: Difference between revisions

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{{Infobox AFDO|steps=36}}
{{Infobox harmonics|36}}


'''36afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''36odo''' ([[otonal division]] of the octave), divides the octave into 36 parts of 1/36 each. It is a superset of [[35afdo]] and a subset of [[37afdo]]. As a scale it may be known as [[Harmonic mode|mode 36 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-36]] scale.
{{Harmonics intro|36}}


== Scales ==
== Scales ==
* [[User:BudjarnLambeth/Batch 89 temperaments#10/3-repeating Batch 89 pentatonic scale|10/3-repeating Batch 89 pentatonic scale]]{{idio}}: 40/36 - 54/36 - 60/36 - 72/36 - 108/36 - 120/36
* 36:40:54:60:72:108:120 [[User:BudjarnLambeth/Batch 89 temperaments#10/3-repeating Batch 89 pentatonic scale|10/3-repeating Batch 89 pentatonic scale]]{{idio}} (''nonoctave period'')
 
{{Navbox harmonics}}

Latest revision as of 00:39, 11 October 2026

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Harmonics 36–72
Prime factorization 22 × 32
Fifth 54/36 (701.955c)

The harmonics 36–72 (also harmonic series segment 36::72 or harmonic series mode 36) are a scale that consists of harmonics 36 through 72 (36:37:…:72) and repeats at the octave. Used as a tuning system, it is also called 36afdo.

Scales

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