Harmonics 10–20: Difference between revisions

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{{Infobox AFDO|steps=10}}
{{Infobox harmonics|10}}


'''10afdo''' ([[AFDO|arithmetic frequency division of the octave]]), or '''10odo''' ([[otonal division]] of the octave), divides the octave into ten parts of 1/10 each. It is a superset of [[9afdo]] and a subset of [[11afdo]]. As a scale it may be known as [[Harmonic mode|mode 10 of the harmonic series]] or the [[Overtone scale #Over-n scales|Over-10]] scale. Unlike its half [[5afdo]], 10afdo is actually quite an effective scale having a minor and supermajor triad on the root.
{{Harmonics intro|10}} Unlike its half [[Harmonics 5–10|harmonics 5–10]], this scale is actually quite effective, having a minor and supermajor triad on the root.


== Intervals ==
== Intervals ==
Line 91: Line 91:


== Scales ==
== Scales ==
* Cyberspace: 12/10-15/10-16/10-18/10-20/10
{{Idiosyncratic terms|Most of these names were coined, and are solely used, by [[Budjarn Lambeth]] - however he was only the first to ''name'' many of these scales, others have probably already ''used'' them before him}}
* Underpass: 12/10-15/10-17/10-18/10-20/10
* 10:12:15:16:18:20 Cyberspace
* 10:12:15:17:18:20 Underpass
 
{{Navbox harmonics}}

Latest revision as of 00:05, 11 October 2026

Harmonics 10–20
Prime factorization 2 × 5
Fifth 15/10 (701.955c)

The harmonic segment 10::20 (also harmonics 10–20) consists of harmonics 10 through 20 (10:11:…:20) and spans one octave above the root. Used as a scale, it is also called mode 10 of the harmonic series. Unlike its half harmonics 5–10, this scale is actually quite effective, having a minor and supermajor triad on the root.

Intervals

# Cents Ratio Decimal Interval name Audio
0 0.00 1/1 1.0000 perfect unison
1 165.00 11/10 1.1000 large undecimal neutral second
2 315.64 6/5 1.2000 just minor third
3 454.21 13/10 1.3000 tridecimal semisixth
4 582.51 7/5 1.4000 narrow tritone
5 701.96 3/2 1.50000 just perfect fifth
6 813.68 8/5 1.6000 just minor sixth
7 918.64 17/10 1.7000 septendecimal major sixth
8 1017.60 9/5 1.8000 just minor seventh
9 1111.20 19/10 1.9000 undevicesimal diminished octave
1 1200.00 2/1 2.0000 perfect octave

Scales

This article or section contains multiple idiosyncratic terms. Such terms are used by only a few people and are not regularly used within the community.

Terms: Most of these names were coined, and are solely used, by Budjarn Lambeth - however he was only the first to name many of these scales, others have probably already used them before him

  • 10:12:15:16:18:20 Cyberspace
  • 10:12:15:17:18:20 Underpass
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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