18afdo: Difference between revisions

← 17afdo 18afdo 19afdo →
Prime factorization	2 × 32
Fifth	27/18 (701.955c)

Latest revision as of 09:22, 20 April 2026

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18afdo (arithmetic frequency division of the octave), or 18odo (otonal division of the octave), divides the octave into 18 parts of 1/18 each. It is a superset of 17afdo and a subset of 19afdo. As a scale it may be known as mode 18 of the harmonic series or the Over-18 scale.

#	Cents	Ratio	Decimal	Color name
0	0.00	1/1	1.0000	wa 1sn, w1
1	93.60	19/18	1.0556	ino 2nd, 19o2
2	182.40	10/9	1.1111	yo 2nd, y2
3	266.87	7/6	1.1667	zo 3rd, z3
4	347.41	11/9	1.2222	ilo 3rd, 1o3
5	424.36	23/18	1.2778	twetho 4th, 23o4
6	498.04	4/3	1.3333	wa 4th, w4
7	568.72	25/18	1.3889	yoyo 4th, yy4
8	636.62	13/9	1.4444	tho 5th, 3o5
9	701.96	3/2	1.5000	wa 5th, w5
10	764.92	14/9	1.5556	zo 6th, z6
11	825.67	29/18	1.6111	tweno 6th, 29o6
12	884.36	5/3	1.6667	yo 6th, y6
13	941.13	31/18	1.7222	thiwo 6th, 31o6
14	996.09	16/9	1.7778	wa 7th, w7
15	1049.36	11/6	1.8333	ilo 7th, 1o7
16	1101.05	17/9	1.8889	iso 8ve, 17o8
17	1151.23	35/18	1.9444	zoyo 8ve, zy8
18	1200.00	2/1	2.0000	wa 8ve, w8

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 '''18afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''18odo''' ([[otonal division]] of the octave), divides the octave into 18 parts of 1/18 each. It is a superset of [[17afdo]] and a subset of [[19afdo]]. As a scale it may be known as [[Harmonic mode|mode 18 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-18]] scale.
+== Intervals ==
+{| class="wikitable"
+|-
+!#
+!Cents
+!Ratio
+!Decimal
+![[Kite's color notation|Color name]]
+!Audio
+|-
+|0
+|0.00
+|1/1
+|1.0000
+|wa 1sn, w1
+|
+|-
+|1
+|93.60
+|19/18
+|1.0556
+|ino 2nd, 19o2
+|
+|-
+|2
+|182.40
+|10/9
+|1.1111
+|yo 2nd, y2
+|
+|-
+|3
+|266.87
+|7/6
+|1.1667
+|zo 3rd, z3
+|
+|-
+|4
+|347.41
+|11/9
+|1.2222
+|ilo 3rd, 1o3
+|
+|-
+|5
+|424.36
+|23/18
+|1.2778
+|twetho 4th, 23o4
+|
+|-
+|6
+|498.04
+|4/3
+|1.3333
+|wa 4th, w4
+|
+|-
+|7
+|568.72
+|25/18
+|1.3889
+|yoyo 4th, yy4
+|
+|-
+|8
+|636.62
+|13/9
+|1.4444
+|tho 5th, 3o5
+|
+|-
+|9
+|701.96
+|3/2
+|1.5000
+|wa 5th, w5
+|
+|-
+|10
+|764.92
+|14/9
+|1.5556
+|zo 6th, z6
+|
+|-
+|11
+|825.67
+|29/18
+|1.6111
+|tweno 6th, 29o6
+|
+|-
+|12
+|884.36
+|5/3
+|1.6667
+|yo 6th, y6
+|
+|-
+|13
+|941.13
+|31/18
+|1.7222
+|thiwo 6th, 31o6
+|
+|-
+|14
+|996.09
+|16/9
+|1.7778
+|wa 7th, w7
+|
+|-
+|15
+|1049.36
+|11/6
+|1.8333
+|ilo 7th, 1o7
+|
+|-
+|16
+|1101.05
+|17/9
+|1.8889
+|iso 8ve, 17o8
+|
+|-
+|17
+|1151.23
+|35/18
+|1.9444
+|zoyo 8ve, zy8
+|-
+|18
+|1200.00
+|2/1
+|2.0000
+|wa 8ve, w8
+|}