PFDO: Difference between revisions

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Rework intro and formula
Important to note "first octave".
 
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* ''p'' = -1 corresponds to [[IFDO]].  
* ''p'' = -1 corresponds to [[IFDO]].  


Except for the case where ''p'' = 0, the [[frequency ratio]] of the ''k''-th interval of ''n''-''p''-FDO is  
Except for the case where ''p'' = 0, the [[frequency ratio]] of the ''k''-th interval in the first octave of ''n''-''p''-FDO is  


$$\left( (n - k)/n + 2^p \cdot k/n \right)^{1/p}$$
$$\left( (n - k)/n + 2^p \cdot k/n \right)^{1/p}$$

Latest revision as of 11:54, 2 June 2024

A p-FDO (p-mean frequency division of the octave) is a periodic tuning system which divides the octave using power means. For example:

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

Except for the case where p = 0, the frequency ratio of the k-th interval in the first octave of n-p-FDO is

$$\left( (n - k)/n + 2^p \cdot k/n \right)^{1/p}$$


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