OD: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
|+example:
|+example: 4-ODO = 4th overtone mode = 4-ADO
|-
|-
! quantity
! quantity
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|-
|-
! frequency
! frequency
|
|1/1
|
|5/4
|
|3/2
|
|7/4
|
|2/1
|
|5/2
|
|3/1
|
|7/2
|
|4/1
|-
|-
! pitch
! pitch
|
|0.00
|
|0.32
|
|0.58
|
|0.81
|
|1.00
|
|1.32
|
|1.58
|
|1.81
|
|2.00
|-
|-
! length
! length
|
|1/1
|
|4/5
|
|2/3
|
|4/7
|
|1/2
|
|2/5
|
|1/3
|
|2/7
|
|1/4
|}
|}

Revision as of 01:48, 22 March 2021

An OD, or otonal division, is a kind of arithmetic and monotonic tuning.

overtone mode, or over-n scale (equivalent to n-ODO)

n-ODp: n otonal divisions of interval p

An OD is a specific (rational) type of EFD.

example: 4-ODO = 4th overtone mode = 4-ADO
quantity 1 2 3 4 5 6 7 8 9
frequency 1/1 5/4 3/2 7/4 2/1 5/2 3/1 7/2 4/1
pitch 0.00 0.32 0.58 0.81 1.00 1.32 1.58 1.81 2.00
length 1/1 4/5 2/3 4/7 1/2 2/5 1/3 2/7 1/4