16afdo: Difference between revisions

Revision as of 18:37, 30 March 2023

Template:Infobox ADO 16ado (arithmetic 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, 16ado corresponds to the 16th to 32nd harmonics octave-reduced.

#	Cents	Ratio	Decimal	Interval name
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

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 {{Infobox ADO|steps=16}}
-'''16ado''' is the [[ADO|arithmetic equal division of the octave]] into 16 parts of 1/16 each. Because 16 is a power of 2, 16ado corresponds to the 16th to 32nd harmonics octave-reduced.
+'''16ado''' ([[ADO|arithmetic 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 [[Harmonic mode|mode 16 of the harmonic series]] or the [[Overtone_scale#Over-n_scales|Over-16]] scale. Because 16 is a power of 2, 16ado corresponds to the 16th to 32nd harmonics octave-reduced.
 == Intervals ==