256ed5

From Xenharmonic Wiki
Revision as of 11:24, 26 November 2021 by Eliora (talk | contribs) (Created page with "'''256 equal divisions of the 5th harmonic''' is an equal-step tuning of 10.884 cents per each step. It is equivalent to 110.2532 EDO. 256ed5 combines dual-fifth temperamen...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

256 equal divisions of the 5th harmonic is an equal-step tuning of 10.884 cents per each step. It is equivalent to 110.2532 EDO.

256ed5 combines dual-fifth temperaments with quarter-comma meantone.

Theory

Approximation of prime harmonics in 256 e.d. 5
P 2 3 5 7 11 13 17 19 23
Error (rc) 25 -26 0 -48 41 -1 -34 35 -26
Steps (reduced) 110 (110) 175 (175) 256 (256) 310 (54) 381 (125) 408 (152) 451 (195) 468 (212) 499 (243)

In 256ed5, the just perfect fifth of 3/2, corresponds to approximately 64.5 steps, thus occuring almost halfway between the quarter-comma meantone fifth and it's next step.