241200edo

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← 241199edo 241200edo 241201edo →
Prime factorization 24 × 32 × 52 × 67
Step size 0.00497512 ¢ 
Fifth 141093\241200 (701.955 ¢) (→ 15677\26800)
Semitones (A1:m2) 22851:18135 (113.7 ¢ : 90.22 ¢)
Consistency limit 39
Distinct consistency limit 39

Template:EDO intro

241200edo is the 60th zeta peak edo and the first one that 1200 divides, making it compatible with cents. It is also a zeta peak integer edo. It is a strong 37-limit system, distinctly consistent in the 39-odd-limit, with a lower 37-limit relative error than any previous equal temperaments.

Prime harmonics

Approximation of prime harmonics in 241200edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +0.00000 +0.00022 -0.00028 -0.00004 +0.00047 -0.00030 -0.00019 -0.00058 -0.00072 -0.00008 -0.00075 -0.00076 +0.00227 -0.00029 +0.00084
Relative (%) +0.0 +4.5 -5.6 -0.7 +9.4 -6.0 -3.7 -11.6 -14.4 -1.6 -15.0 -15.2 +45.6 -5.9 +16.9
Steps
(reduced)
241200
(0)
382293
(141093)
560049
(77649)
677134
(194734)
834415
(110815)
892546
(168946)
985896
(21096)
1024600
(59800)
1091083
(126283)
1171745
(206945)
1194952
(230152)
1256520
(50520)
1292242
(86242)
1308815
(102815)
1339767
(133767)