OD
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.
| quantity | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| frequency (f) | 4/4 | 5/4 | 6/4 | 7/4 | (8/4) |
| pitch (log₂f) | 0.00 | 0.32 | 0.58 | 0.81 | (1.00) |
| length (1/f) | 4/4 | 4/5 | 4/6 | 4/7 | (4/8) |