# 16afdo

 ← 15afdo 16afdo 17afdo →
Prime factorization 24
Fifth 24/16 (701.955c)

16afdo (arithmetic frequency division of the octave), or 16-ODO (otonal division of the octave), divides the octave into 16 parts of 1/16 each. As a scale it may be known as mode 16 of the harmonic series or the Over-16 scale. Because 16 is a power of 2, 16afdo corresponds to the 16th to 32nd harmonics octave-reduced.

## Intervals

# Cents Ratio Decimal Interval name Audio
0 0 1/1 1.0000 perfect unison
1 104.96 17/16 1.0625 large septendecimal semitone
2 203.91 9/8 1.1250 whole tone
3 297.51 19/16 1.1875 otonal minor third
4 386.31 5/4 1.2500 just major third
5 470.78 21/16 1.3125 septimal subfourth
6 551.32 11/8 1.3750 undecimal superfourth
7 628.27 23/16 1.4375 octave-reduced 23rd harmonic
8 701.96 3/2 1.5000 just perfect fifth
9 772.63 25/16 1.5625 classic(al) augmented fifth
10 840.53 13/8 1.6250 lesser tridecimal neutral sixth
11 905.87 27/16 1.6875 Pythagorean major sixth
12 968.83 7/4 1.7500 harmonic seventh
13 1029.58 29/16 1.8125 octave-reduced 29th harmonic
14 1088.27 15/8 1.8750 just major seventh
15 1145.04 31/16 1.9375 octave-reduced 31st harmonic
16 1200.00 2/1 2.0000 perfect octave

## Scales

See also: 5- to 10-tone scales from the modes of the harmonic series
• Deister Tune 216: 17/16-5/4-11/8-3/2-7/4-15/8-2/1
• Mechanical: 19/16-20/16-24/16-28/16-32/16
• Moonbeam: 18/16-19/16-24/16-30/16-32/16
• Volcanic: 17/16-20/16-24/16-28/16-32/16