OD: Difference between revisions
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| Line 13: | Line 13: | ||
|- | |- | ||
! quantity | ! quantity | ||
! (0) | |||
! 1 | ! 1 | ||
! 2 | ! 2 | ||
! 3 | ! 3 | ||
! 4 | ! 4 | ||
|- | |- | ||
! frequency (f) | ! frequency (f) | ||
|4/4 | |(4/4) | ||
|5/4 | |5/4 | ||
|6/4 | |6/4 | ||
|7/4 | |7/4 | ||
| | |8/4 | ||
|- | |- | ||
! pitch (log₂f) | ! pitch (log₂f) | ||
|0 | |(0) | ||
|0.32 | |0.32 | ||
|0.58 | |0.58 | ||
|0.81 | |0.81 | ||
| | |1 | ||
|- | |- | ||
! length (1/f) | ! length (1/f) | ||
|4/4 | |(4/4) | ||
|4/5 | |4/5 | ||
|4/6 | |4/6 | ||
|4/7 | |4/7 | ||
| | |4/8 | ||
|} | |} | ||
Revision as of 21:40, 22 March 2021
An OD, or otonal division, is a kind of arithmetic and monotonic tuning.
Its full specification is n-ODp: n otonal divisions of interval p.
The nth overtone mode, or over-n scale is equivalent to n-ODO. So is n-ADO.
An OD is a specific (rational) type of EFD, or equal frequency division.
note there's a kinda tricky aspect which is that if you just want overtones 1-9 you need 8-OD9 because there are only 8 steps from 1 to 9. You could think of it like 9 is the 8th overtone, so you're really dividing 8 by 8. You're dividing the number of overtones.
| quantity | (0) | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| frequency (f) | (4/4) | 5/4 | 6/4 | 7/4 | 8/4 |
| pitch (log₂f) | (0) | 0.32 | 0.58 | 0.81 | 1 |
| length (1/f) | (4/4) | 4/5 | 4/6 | 4/7 | 4/8 |