1749edo

Revision as of 10:15, 22 December 2022 by Aura (talk | contribs) (Created page with "{{Infobox ET}} {{EDO intro|1749}} == Theory == This EDO has a consistency level of only 9, nevertheless, it's well-behaved in the 2.3.5.7.13.17 subgroup. {{Harmonics in equa...")
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← 1748edo 1749edo 1750edo →
Prime factorization 3 × 11 × 53
Step size 0.686106 ¢ 
Fifth 1023\1749 (701.887 ¢) (→ 31\53)
Semitones (A1:m2) 165:132 (113.2 ¢ : 90.57 ¢)
Consistency limit 9
Distinct consistency limit 9

Template:EDO intro

Theory

This EDO has a consistency level of only 9, nevertheless, it's well-behaved in the 2.3.5.7.13.17 subgroup.


Approximation of prime harmonics in 1749edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.068 -0.036 -0.044 +0.312 -0.047 +0.019 +0.257 +0.199 +0.268 +0.076
Relative (%) +0.0 -9.9 -5.2 -6.4 +45.4 -6.9 +2.7 +37.5 +29.0 +39.1 +11.1
Steps
(reduced)
1749
(0)
2772
(1023)
4061
(563)
4910
(1412)
6051
(804)
6472
(1225)
7149
(153)
7430
(434)
7912
(916)
8497
(1501)
8665
(1669)