10edo

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Revision as of 12:05, 27 January 2026 by Ground (talk | contribs) (Created page with "{{problematic}} '''10edo''', or 10 equal divisions of the octave, is the equal tuning featuring steps of (1200/10) = 120 cents, 10 of which stack to the perfect octave 2/1. It is notable for its good approximation of the 2.7.13 subgroup and for being possibly the smallest edo in the same class as 12edo. == Theory == ==== Chords ==== See also: Oneirotonic#Chords_of_oneirotonic ==== Detempers ==== Due to its small size and unique melodic character, it is ve...")
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10edo, or 10 equal divisions of the octave, is the equal tuning featuring steps of (1200/10) = 120 cents, 10 of which stack to the perfect octave 2/1. It is notable for its good approximation of the 2.7.13 subgroup and for being possibly the smallest edo in the same class as 12edo.

Theory

Chords

See also: Oneirotonic#Chords_of_oneirotonic

Detempers

Due to its small size and unique melodic character, it is very easy to detemper 10edo. Example tunings are shown in parenthesis.

Full octave, neutral third generator

  • Sharp (13\43), 3L7s
    • Mainly oneirotonic fifth
    • Good approximation of 19:22:25:27:29
    • Similar to Submajor/Interpental temperament
  • Flat (11\37), 7L3s
    • Mainly diatonic fifth
    • General 13-limit, especially 2.7.13

Half octave, fifth generator

  • Flat (3\32)
    • Mainly diatonic fifth
    • Oceanfront temperament with added 17/14
  • Sharp (4\38)
    • Mainly oneirotonic fifth
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