Harmonics 18–36: Difference between revisions

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{{Stub}}
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{{Infobox AFDO|steps=18}}
{{Infobox harmonics|18}}


'''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.
{{Harmonics intro|18}}


== Intervals ==
== Intervals ==
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|wa 8ve, w8
|wa 8ve, w8
|}
|}
{{Navbox harmonics}}

Latest revision as of 00:11, 11 October 2026

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Harmonics 18–36
Prime factorization 2 × 32
Fifth 27/18 (701.955c)

The harmonic segment 18::36 (also harmonics 18–36) consists of harmonics 18 through 36 (18:19:…:36) and spans one octave above the root. Used as a scale, it is also called mode 18 of the harmonic series. The inverse consists of subharmonics 18–36.

Intervals

# Cents Ratio Decimal 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
View • Talk • EditOvertone scales 
Small modes 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24
Larger modes 30 • 32 • 36 • 48 • 60 • 128
Families /2: 2 • 4 • 8 • 16 • 32 • 128
/3: 3 • 6 • 9 • 12 • 15 • 18 • 21 • 24
/5: 5 • 10 • 15 • 20 • 25 • 30 • 35 • 60 • 80
/7: 7 • 14 • 21 • 28 • 35 • 56
/11: 11 • 22 • 33
/13: 13 • 26
Related Harmonic series • Subharmonic series • Carlos harmonic scale • Ringer scale • Primodality
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