EFD: Difference between revisions

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n-EFDp: n equal frequency divisions of interval p
n-EFDp: n equal frequency divisions of interval p
An OD is a specific (rational) type of EFD.


7EFDπ is dividing the frequency space between 1 and π by 7, so that makes each step (π-1)/7. So the 2nd step is 1+(π-1)/7 = 7/7+(π-1)/7 = (π+6)/7, the 3rd step would be 1+2(π-1)/7 = (2π+5)/7, then I see the pattern forming so it goes (3π+4)/7, (4π+3)/7, (5π+2)/7, (6π+1)/7, and (7π+0)/7 = π at the end.
7EFDπ is dividing the frequency space between 1 and π by 7, so that makes each step (π-1)/7. So the 2nd step is 1+(π-1)/7 = 7/7+(π-1)/7 = (π+6)/7, the 3rd step would be 1+2(π-1)/7 = (2π+5)/7, then I see the pattern forming so it goes (3π+4)/7, (4π+3)/7, (5π+2)/7, (6π+1)/7, and (7π+0)/7 = π at the end.
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! 3
! 3
! 4
! 4
! 5
! (5)
! 6
! 7
! 8
! 9
|-
|-
! frequency
! frequency (f)
|1.00
|1
|1.15
|1.15
|1.31
|1.31
|1.46
|1.46
|1.62
|(φ)
|1.87
|2.12
|2.37
|2.62
|-
|-
! pitch
! pitch (log₂f)
|0.00
|0
|0.21
|0.21
|0.39
|0.39
|0.55
|0.55
|0.69
|(0.69)
|0.90
|1.08
|1.24
|1.39
|-
|-
! length
! length (1/f)
|1.00
|1
|0.87
|0.87
|0.76
|0.76
|0.68
|0.68
|0.62
|(1/φ)
|0.54
|0.47
|0.42
|0.38
|}
|}
An [[OD|OD (or otonal division)]] is a specific (rational) type of EFD.
Retrieved from "https://en.xen.wiki/w/EFD"