988edo

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Revision as of 10:23, 29 April 2022 by Eliora (talk | contribs) (Created page with "{{EDO intro|988}} == Theory == {{Harmonics in equal|988}} 988edo provides excellent tuning for the 2, 3, 5, 11, 13, 19, 37, 43, 47, 53, and 59th harmonics, making a strong hi...")
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Template:EDO intro

Theory

Approximation of prime harmonics in 988edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.069 -0.079 +0.405 +0.099 -0.042 -0.502 +0.058 -0.339 +0.382 +0.309
Relative (%) +0.0 +5.7 -6.5 +33.3 +8.2 -3.4 -41.3 +4.8 -27.9 +31.5 +25.4
Steps
(reduced)
988
(0)
1566
(578)
2294
(318)
2774
(798)
3418
(454)
3656
(692)
4038
(86)
4197
(245)
4469
(517)
4800
(848)
4895
(943)

988edo provides excellent tuning for the 2, 3, 5, 11, 13, 19, 37, 43, 47, 53, and 59th harmonics, making a strong higher-limit system. It is double the rather infamous 494edo, and with the same mapping for 19-limit. To break the contorsion, 988d val can be used.

In the 2.5.11.13.19.41.47 it supports a 988 & 2016 temperament.