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Cmloegcmluin (talk | contribs) Created page with "An '''n-TOH''' 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). (tables f..." |
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An '''n-TOH''' stands for the nth tritave of odd harmonics. | 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]]). | 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 [[Overtone scales|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 [[Oddharmonic series|odds]]. | |||
{| class="wikitable" | |||
|+1-TOH | |||
!step | |||
!0 | |||
!1 | |||
|- | |||
|pitch | |||
|(1/1) | |||
|3/1 | |||
|- | |||
|reduced | |||
|(1/1) | |||
|3/1 | |||
|} | |||
{| class="wikitable" | |||
|+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 | |||
|} | |||
{| class="wikitable" | |||
|+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 | |||
|} | |||
Revision as of 19:25, 1 April 2021
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.
| step | 0 | 1 |
|---|---|---|
| pitch | (1/1) | 3/1 |
| reduced | (1/1) | 3/1 |
| step | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| pitch | (3/3) | 5/3 | 7/3 | 9/3 |
| reduced | (1/1) | 5/3 | 7/3 | 3/1 |
| 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 |