EFD: Difference between revisions

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An '''EFD''' ('''equal frequency division''') or '''AFD''' ('''arithmetic frequency division''') is a kind of [[Arithmetic tunings|arithmetic]] and [[Harmonotonic tunings|harmonotonic]] tuning in which each period is divided to a number of steps of equal frequency difference. It is a [[period]]ic [[tuning system]].
An '''EFD''' ('''equal frequency division''') or '''AFD''' ('''arithmetic frequency division''') is a kind of [[Arithmetic tunings|arithmetic]] and [[period]]ic [[tuning]] in which each period is divided to a number of steps of equal frequency difference.  


== Specification ==
== Specification ==
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! 4
! 4
|-
|-
! frequency (f)
! frequency (''f'', ratio)
| (1 + (0/4)(φ - 1))<br>= (0φ + 4)/4<br>= 1
| (1 + (0/4)(φ - 1))<br>= (0φ + 4)/4<br>= 1
| 1 + (1/4)(φ - 1)<br>= (1φ + 3)/4
| 1 + (1/4)(φ - 1)<br>= (1φ + 3)/4
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| 1 + (4/4)(φ - 1)<br>= (4φ + 0)/4<br>= φ
| 1 + (4/4)(φ - 1)<br>= (4φ + 0)/4<br>= φ
|-
|-
! pitch (log₂f)
! pitch (log₂''f'', octaves)
| (0)
| (0)
| 0.21
| 0.21
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| 0.69
| 0.69
|-
|-
! length (1/f)
! length (1/''f'', ratio)
| (1)
| (1)
| 4/(φ + 3) = 0.87
| 4/(φ + 3) = 0.87
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