1395edo

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Revision as of 01:16, 4 July 2022 by Fredg999 category edits (talk | contribs) (Sort key)
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← 1394edo 1395edo 1396edo →
Prime factorization 32 × 5 × 31
Step size 0.860215 ¢ 
Fifth 816\1395 (701.935 ¢) (→ 272\465)
Semitones (A1:m2) 132:105 (113.5 ¢ : 90.32 ¢)
Consistency limit 21
Distinct consistency limit 21

Template:EDO intro

Theory

1395edo is a strong higher-limit system, being a zeta peak, peak integer, integral and gap edo. The patent val is the first one after 311 with a lower 37-limit relative error, though it is only consistent through the 21-odd-limit, due to 23 being all of 0.3 cents flat. A comma basis for the 19-limit is {2058/2057, 2401/2400, 4914/4913, 5929/5928, 10985/10982, 12636/12635, 14875/14872}.

Prime harmonics

Approximation of prime harmonics in 1395edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +0.000 -0.020 -0.077 -0.224 +0.080 -0.098 -0.009 +0.121 -0.317 +0.100 -0.089 -0.161 +0.185 +0.310 +0.300
Relative (%) +0.0 -2.3 -9.0 -26.0 +9.3 -11.3 -1.1 +14.1 -36.9 +11.7 -10.4 -18.7 +21.5 +36.1 +34.9
Steps
(reduced)
1395
(0)
2211
(816)
3239
(449)
3916
(1126)
4826
(641)
5162
(977)
5702
(122)
5926
(346)
6310
(730)
6777
(1197)
6911
(1331)
7267
(292)
7474
(499)
7570
(595)
7749
(774)