User:Cmloegcmluin/EPD: Difference between revisions

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Vs. APS: correction re: periodicity (thanks Flora!)
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An '''EPD''', or '''equal pitch division''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Harmonotonic tunings|harmonotonic]] tuning.  
An '''EPD''', or '''equal pitch division''', is a kind of [[Arithmetic tunings|arithmetic]] and [[Harmonotonic tunings|harmonotonic]] tuning.  


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=== Vs. rank-1 temperaments & equal multiplications ===
=== Vs. rank-1 temperaments & equal multiplications ===


An n-EPDn is equivalent to a [[Tour_of_Regular_Temperaments#Equal_temperaments_.28Rank-1_temperaments.29|rank-1 temperament]] of p/n, or an [[Equal-step_tuning#Equal_multiplications|equal multiplication]] of p/n.
An n-EPDp is equivalent to a [[Tour_of_Regular_Temperaments#Equal_temperaments_.28Rank-1_temperaments.29|rank-1 temperament]] of p/n, or an [[Equal-step_tuning#Equal_multiplications|equal multiplication]] of p/n.


=== Vs. APS ===
=== Vs. APS ===
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! 4
! 4
|-
|-
! frequency (f)
! frequency (''f'', ratio)
|(1)
|(1)
|1.19
|1.19
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|2
|2
|-
|-
! pitch (log₂f)
! pitch (log₂''f'', octaves)
|(2⁰⸍⁴)
|(2⁰⸍⁴)
|2¹⸍⁴
|2¹⸍⁴
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|2⁴⸍⁴
|2⁴⸍⁴
|-
|-
! length (1/f)
! length (1/''f'', ratio)
|(1)
|(1)
|0.84
|0.84