1817edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
The '''1817 division''' is distinctly consistent in the 17-limit, and a fairly strong 17-limit system.
The '''1817 division''' is distinctly consistent in the 17-limit, and a fairly strong 17-limit system.
 
=== Prime harmonics ===
{{harmonics in equal|1817}}
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->

Revision as of 18:49, 14 May 2023

← 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

The 1817 division is distinctly consistent in the 17-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)