Harmonics 32–64

The harmonic segment 32::64 (also harmonics 32–64) consists of harmonics 32 through 64 (32:33:…:64) and spans one octave above the root. Used as a scale, it is also called mode 32 of the harmonic series.

Harmonics 32–64

Prime factorization	25
Fifth	48/32 (701.955c)

The smallest edo that maintains 25% or lower relative error on all intervals of this scale 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

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

• 32:34:36:38:40:43:44:48:52:54:56:58:60:64 loose approximation of fluid just intonation
• 32:40:43:48:57:64 Arcade
• 32:43:48:51:57:64 Cosmic
• User:BudjarnLambeth/Some tunings for Japanese scales#Over-2 (most of these are in this scale)

Music

Adam Neely

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

See also

• Harmonics 8–16
• Harmonics 16–32