TOH

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An n-TOH (pronounced /toʊ/, like "toe") stands for the nth tritave of odd harmonics.

TOHs reject factors of 2 in JI ratios, having a prime minimum of 3 (similar to Bohlen-Pierce).

It is similar in concept to an octave of the harmonic series, a special case of a mode of the harmonic series where the mode is a power of 2. However, here the tuning spans (and repeats at) the tritave, and includes only odds.

1-TOH
step 0 1
pitch (1/1) 3/1
reduced (1/1) 3/1
2-TOH
step 0 1 2 3
pitch (3/3) 5/3 7/3 9/3
reduced (1/1) 5/3 7/3 3/1
3-TOH
step 0 1 2 3 4 5 6 7 8 9
pitch (9/9) 11/9 13/9 15/9 17/9 19/9 21/9 23/9 25/9 27/9
reduced (1/1) 11/9 13/9 5/3 17/9 19/9 7/3 23/9 25/9 3/1

Listening

https://soundcloud.com/cmloegcmluin/sets/third-tritave-odd-harmonics