PFDO: Difference between revisions

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'''''p''-FDO''' ('''''p''-mean frequency division of the octave''') refers to dividing the octave using [[Wikipedia: Generalized mean|power means]]. For example:
'''pFDO''' (pth mean frequency division of the octave) refers to dividing the octave using [https://en.wikipedia.org/wiki/Generalized_mean power means]. p=0 corresponds to [[EDO]], p=1 corresponds to [[AFDO]], and p=-1 corresponds to [[IFDO]]. The general formula for the ath interval of b-pFDO is equal to (a/b + 2<sup>p</sup> * (b-a)/b)<sup>1/p</sup>.
* ''p'' = 0 corresponds to [[EDO]],  
* ''p'' = 1 corresponds to [[AFDO]],  
* ''p'' = -1 corresponds to [[IFDO]].  
 
The general formula for the ath interval of b-pFDO is equal to (a/b + 2<sup>p</sup> * (b-a)/b)<sup>1/p</sup>.
 
[[Category:Acronyms]]
[[Category:Stub]]
{{Todo| discuss title }}

Revision as of 05:30, 25 April 2023

p-FDO (p-mean frequency division of the octave) refers to dividing the octave using power means. For example:

  • p = 0 corresponds to EDO,
  • p = 1 corresponds to AFDO,
  • p = -1 corresponds to IFDO.

The general formula for the ath interval of b-pFDO is equal to (a/b + 2p * (b-a)/b)1/p.