PFDO: Difference between revisions
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CompactStar (talk | contribs) Created page with "{{stub}} '''pFDO''' (pth mean frequency division of the octave) refers to dividing the octave using power [https://en.wikipedia.org/wiki/Generalized_mean](means). p=0 correspo..." |
Important to note "first octave". |
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A '''''p''-FDO''' ('''''p''-mean frequency division of the octave''') is a [[period]]ic [[tuning system]] which divides the [[octave]] using {{w|Generalized mean|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 | |||
$$\left( (n - k)/n + 2^p \cdot k/n \right)^{1/p}$$ | |||
[[Category:Acronyms]] | |||
{{Todo| discuss title }} | |||
{{Stub}} | |||
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:
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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