1817edo

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Revision as of 12:33, 30 October 2023 by FloraC (talk | contribs) (+subsets and supersets)
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← 1816edo 1817edo 1818edo →
Prime factorization 23 × 79
Step size 0.660429 ¢ 
Fifth 1063\1817 (702.036 ¢)
Semitones (A1:m2) 173:136 (114.3 ¢ : 89.82 ¢)
Consistency limit 17
Distinct consistency limit 17

Template:EDO intro

1817edo distinctly consistent in the 17-odd-limit, and a fairly strong 17-limit system.

Prime harmonics

Approximation of prime harmonics in 1817edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 +0.081 +0.037 +0.024 +0.141 +0.199 +0.053 -0.320 -0.206 +0.032 +0.149
Relative (%) +0.0 +12.3 +5.7 +3.6 +21.3 +30.1 +8.0 -48.4 -31.2 +4.9 +22.5
Steps
(reduced)
1817
(0)
2880
(1063)
4219
(585)
5101
(1467)
6286
(835)
6724
(1273)
7427
(159)
7718
(450)
8219
(951)
8827
(1559)
9002
(1734)

Subsets and supersets

Since 1817 factors into 23 × 79, 1817edo contains 23edo and 79edo as subsets.