User:Cmloegcmluin/EPD

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).

example: 4-EPDO = 4-EDO

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