32afdo

Revision as of 02:15, 14 April 2026 by BudjarnLambeth (talk | contribs) (Scales: Same changes with same reasoning as made to 8afdo today)

32afdo (arithmetic frequency division of the octave), or 32odo (otonal division of the octave), divides the octave into 32 parts of 1/32 each. It is a superset of 31afdo and a subset of 33afdo. As a scale it may be known as mode 32 of the harmonic series or the Over-32 scale.

← 31afdo 32afdo 33afdo →
Prime factorization 25
Fifth 48/32 (701.955c)

The smallest edo that maintains 25% or lower relative error on all intervals of 32afdo is 3159811edo.

Intervals

  1. 33/32
  2. 17/16
  3. 35/32
  4. 9/8
  5. 37/32
  6. 19/16
  7. 39/32
  8. 5/4
  9. 41/32
  10. 21/16
  11. 43/32
  12. 11/8
  13. 45/32
  14. 23/16
  15. 47/32
  16. 3/2
  17. 49/32
  18. 25/16
  19. 51/32
  20. 13/8
  21. 53/32
  22. 27/16
  23. 55/32
  24. 7/4
  25. 57/32
  26. 29/16
  27. 59/32
  28. 15/8
  29. 61/32
  30. 31/16
  31. 63/32
  32. 2/1

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

  • 32:40:43:48:57:64 Arcade
  • 32:43:48:51:57:64 Cosmic
  • 32:34:36:38:40:43:44:48:52:54:56:58:60:64

loose approximation of fluid just intonation

Music

Adam Neely

See also