Harmonics 10–20: Difference between revisions

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{{Infobox ADO|steps=10}}
{{Infobox harmonics|10}}
'''10ado''' ([[ADO|arithmetic division of the octave]]), or '''10odo''' ([[otonal division]] of the octave), divides the octave into ten parts of 1/10 each. 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 [[5ado]], 10ado 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.


If the base frequency is 1 Hz (or any other unit), the resulting values are 2, 3, 4, 5, 6, 7, 8, 9, 10 times bigger than the base, followed by 20, 30, 40, 50, 60, 70, 80, 90, then 200, 300, 400, 500, etc. From this perspective, 10ado constitutes the numerical layout of a [[wikipedia:Slide rule|logarithmic ruler]].
== Intervals ==
== Intervals ==
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{| class="wikitable center-all"
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[[Category:ADO]]
== Scales ==
[[Category:Real-life sonifications]]
{{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}}
* 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 harmonics 10–20 (also harmonic series segment 10::20 or harmonic series mode 10) are a scale that consists of harmonics 10 through 20 (10:11:…:20) and repeats at the octave. Used as a tuning system, it is also called 10afdo. 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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