User:Cmloegcmluin/EPD: Difference between revisions
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Cmloegcmluin (talk | contribs) fix table |
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{| class="wikitable" | {| class="wikitable" | ||
|+example: 4- | |+example: 4-EPDO = 4-EDO | ||
|- | |- | ||
! quantity | ! quantity | ||
! (0) | |||
! 1 | ! 1 | ||
! 2 | ! 2 | ||
! 3 | ! 3 | ||
! 4 | ! 4 | ||
|- | |- | ||
! frequency | ! frequency (f) | ||
|1 | |(1) | ||
|1.19 | |1.19 | ||
|1.41 | |1.41 | ||
|1.68 | |1.68 | ||
|2 | |2 | ||
|- | |- | ||
! pitch | ! pitch (log₂f) | ||
| | |(2⁰⸍⁴) | ||
| | |2¹⸍⁴ | ||
| | |2²⸍⁴ | ||
| | |2³⸍⁴ | ||
| | |2⁴⸍⁴ | ||
|- | |- | ||
! length | ! length (1/f) | ||
|1 | |(1) | ||
|0.84 | |0.84 | ||
|0.71 | |0.71 | ||
|0.59 | |0.59 | ||
|0. | |0.5 | ||
|} | |} | ||
[[Category:Equal-step tuning]] | [[Category:Equal-step tuning]] | ||
[[Category:Equal divisions of the octave ]] | [[Category:Equal divisions of the octave ]] | ||
Revision as of 21:53, 22 March 2021
An EPD, or equal pitch division, is a kind of arithmetic and monotonic tuning.
n-EDp: n equal (pitch) divisions of interval p (e.g. 12-EDO) (equivalent to rank-1 temperament of p/n)
The most common example of this type of tuning is 12-EDO, standard tuning, which takes the interval of the octave, and equally divides its pitch into 12 parts. For long, we could call this 12-EPDO, for 12 equal pitch divisions of the octave (whenever pitch is the chosen kind of quality, we can assume it, and skip pointing it out; that's why 12-EDO is the better name).
| quantity | (0) | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| frequency (f) | (1) | 1.19 | 1.41 | 1.68 | 2 |
| pitch (log₂f) | (2⁰⸍⁴) | 2¹⸍⁴ | 2²⸍⁴ | 2³⸍⁴ | 2⁴⸍⁴ |
| length (1/f) | (1) | 0.84 | 0.71 | 0.59 | 0.5 |