32afdo: Difference between revisions

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* Arcade: {{dash|40/32, 43/32, 48/32, 57/32, 64/32|med}}
* Arcade: {{dash|40/32, 43/32, 48/32, 57/32, 64/32|med}}
* Cosmic: {{dash|43/32, 48/32, 51/32, 57/32, 64/32|med}}
* Cosmic: {{dash|43/32, 48/32, 51/32, 57/32, 64/32|med}}
* ''Loose approximation of [[fluid just intonation]]'': 17/16—9/8—19/16—5/4—43/32—11/8—3/2—13/8—27/16—7/4—29/16—15/8—2/1


== Music ==
== Music ==
; [[Adam Neely]]
; [[Adam Neely]]
* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17
* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17

Latest revision as of 03:28, 28 March 2025

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

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.

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

  • Arcade: 40/32 – 43/32 – 48/32 – 57/32 – 64/32
  • Cosmic: 43/32 – 48/32 – 51/32 – 57/32 – 64/32
  • Loose approximation of fluid just intonation: 17/16—9/8—19/16—5/4—43/32—11/8—3/2—13/8—27/16—7/4—29/16—15/8—2/1

Music

Adam Neely