241200edo: Difference between revisions

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The '''241200 equal division''' divides the octave into 241200 steps. It is the 60th [[zeta peak edo]] and the first one that 1200 divides, making it compatible with [[Cent|cents]]. It is also a [[zeta peak integer edo]].
{{EDO intro|241200}} It is the 60th [[zeta peak edo]] and the first one that 1200 divides, making it compatible with [[cent]]s. It is also a [[zeta peak integer edo]].


{{Primes in edo|241200|columns=11|start=2}}
=== Prime harmonics ===
 
{{Harmonics in equal|241200|columns=11}}
[[Category:Equal divisions of the octave|######]] <!-- 6-digit number -->
[[Category:Zeta]]

Revision as of 08:07, 14 February 2023

← 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 It 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.

Prime harmonics

Approximation of prime harmonics in 241200edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00000 +0.00022 -0.00028 -0.00004 +0.00047 -0.00030 -0.00019 -0.00058 -0.00072 -0.00008 -0.00075
Relative (%) +0.0 +4.5 -5.6 -0.7 +9.4 -6.0 -3.7 -11.6 -14.4 -1.6 -15.0
Steps
(reduced)
241200
(0)
382293
(141093)
560049
(77649)
677134
(194734)
834415
(110815)
892546
(168946)
985896
(21096)
1024600
(59800)
1091083
(126283)
1171745
(206945)
1194952
(230152)