1152edo

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Revision as of 15:58, 10 March 2024 by Eliora (talk | contribs) (Created page with "{{Infobox ET}} {{EDO intro|1152}} 1152edo is consistent in the 9-odd-limit, where it corrects the 576edo's mapping for 5. It is a strong 2.3.5.7.13.17.23 subgro...")
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← 1151edo 1152edo 1153edo →
Prime factorization 27 × 32
Step size 1.04167 ¢ 
Fifth 674\1152 (702.083 ¢) (→ 337\576)
Semitones (A1:m2) 110:86 (114.6 ¢ : 89.58 ¢)
Consistency limit 9
Distinct consistency limit 9

Template:EDO intro

1152edo is consistent in the 9-odd-limit, where it corrects the 576edo's mapping for 5.

It is a strong 2.3.5.7.13.17.23 subgroup tuning, or alternatively a no-11, no-17, no-19 23-limit tuning. More so, if intervals containing 11, 17, and 19 are removed, 1152edo consistently represents the intervals of the 23-odd-limit and not just 23-prime-limit.


Approximation of prime harmonics in 1152edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.128 +0.145 -0.076 -0.276 +0.097 +0.253 +0.404 -0.149 -0.411 -0.244
Relative (%) +0.0 +12.3 +13.9 -7.3 -26.5 +9.3 +24.3 +38.8 -14.3 -39.4 -23.4
Steps
(reduced)
1152
(0)
1826
(674)
2675
(371)
3234
(930)
3985
(529)
4263
(807)
4709
(101)
4894
(286)
5211
(603)
5596
(988)
5707
(1099)

Subsets and supersets

1152edo is a highly factorable edo.