32afdo

← 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

See also: 5- to 10-tone scales from the modes of the harmonic series

• 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

• How to See Ghosts (demonstration piece) (2018) – The piece starts at 10:17