OD: Difference between revisions
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An '''OD''', or '''otonal division''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Monotonic tunings|monotonic]] tuning. | An '''OD''', or '''otonal division''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Monotonic tunings|monotonic]] tuning. | ||
Its full specification is n-ODp: n otonal divisions of interval p. | |||
n- | The nth [[Overtone scale|overtone mode, or over-n scale]] is equivalent to n-ODO. So is n-[[ADO]]. | ||
An OD is a specific (rational) type of EFD. | An OD is a specific (rational) type of [[EFD|EFD, or equal frequency division]]. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+example: 4-ODO | |+example: 4-ODO | ||
|- | |- | ||
! quantity | ! quantity | ||
| Line 16: | Line 16: | ||
! 4 | ! 4 | ||
! 5 | ! 5 | ||
|- | |- | ||
! frequency | ! frequency (f) | ||
| | |4/4 | ||
|5/4 | |5/4 | ||
| | |6/4 | ||
|7/4 | |7/4 | ||
| | |(8/4) | ||
|- | |- | ||
! pitch | ! pitch (log₂f) | ||
|0.00 | |0.00 | ||
|0.32 | |0.32 | ||
|0.58 | |0.58 | ||
|0.81 | |0.81 | ||
|1.00 | |(1.00) | ||
|- | |- | ||
! length | ! length (1/f) | ||
| | |4/4 | ||
|4/5 | |4/5 | ||
| | |4/6 | ||
|4/7 | |4/7 | ||
| | |(4/8) | ||
|} | |} | ||