Harmonics 10–20

Revision as of 02:24, 14 April 2026 by BudjarnLambeth (talk | contribs) (→Scales: Same changes with same reasoning as made to 8afdo today)

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.

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

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