256ed5: Difference between revisions

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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..."
 
Xenwolf (talk | contribs)
m Theory: correct reduction to: 256 mod 256 = 0
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|110 (110)
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|175 (175)
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|256 (256)
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|310 (54)
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|381 (125)
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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.
In 256ed5, the just perfect fifth of [[3/2]], corresponds to approximately 64.5 steps, thus occurring almost halfway between the [[quarter-comma meantone]] fifth and it's next step.

Revision as of 14:58, 28 November 2021

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 (0) 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 occurring almost halfway between the quarter-comma meantone fifth and it's next step.