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

Arcade

• 20/16
• 21/16
• 24/16
• 28/16
• 32/16

Mechanical

• 19/16
• 20/16
• 24/16
• 28/16
• 32/16

Moonbeam

• 18/16
• 19/16
• 24/16
• 30/16
• 32/16

Springwater

• 18/16
• 20/16
• 24/16
• 28/16
• 32/16

Volcanic

• 17/16
• 20/16
• 24/16
• 28/16
• 32/16