10afdo: Difference between revisions

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Scales: Same changes with same reasoning as made to 8afdo today
 
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{{Infobox ADO|steps=10}}
{{Infobox AFDO|steps=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.
 
'''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.


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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[[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

Latest revision as of 02:24, 14 April 2026

← 9afdo 10afdo 11afdo →
Prime factorization 2 × 5
Fifth 15/10 (701.955c)

10afdo (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 mode 10 of the harmonic series or the Over-10 scale. Unlike its half 5afdo, 10afdo is actually quite an effective scale 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