Subharmonics 16–32

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Subharmonics 16–32
Prime factorization 24
Dual sharp fifth 32/21 (729.219c)
Dual flat fifth 32/22 (648.682c)

The subharmonics 16–32 are a scale that consists of subharmonics 16 through 32 of the subharmonic series. Above the root they form the ratios 32/32, 32/31, …, 32/16 and repeat at the octave. Used as a tuning system, it is also called 16ifdo. The inverse consists of harmonics 16–32.

Intervals

# Cents Ratio Interval name Audio
0 0.00 1/1 perfect unison
1 54.964 32/31 small tricesimoprimal quartertone
2 111.731 16/15 just diatonic semitone
3 170.423 32/29 vicesimononal submajor second
4 231.174 8/7 septimal major second
5 294.135 32/27 Pythagorean minor third
6 359.472 16/13 (greater) tridecimal neutral third
7 427.373 32/25 classic(al) diminished fourth
8 498.045 4/3 just perfect fourth
9 571.726 32/23 vicesimotertial narrow tritone
10 648.682 16/11 undecimal subfifth
11 729.219 32/21 septimal superfifth
12 813.686 8/5 just minor sixth
13 902.487 32/19 utonal major sixth
14 996.090 16/9 Pythagorean minor seventh
15 1095.045 32/17 septendecimal major seventh
16 1200.000 2/1 octave

Music

Francium
View • Talk • EditUndertone scales 
Small modes 3 • 11 • 16 • 18
Families 3/: 3 • 18
Related Subharmonic series • Harmonic series • Overtone scale • Ringer scale