411edo

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← 410edo 411edo 412edo →
Prime factorization 3 × 137
Step size 2.91971¢ 
Fifth 240\411 (700.73¢) (→80\137)
Semitones (A1:m2) 36:33 (105.1¢ : 96.35¢)
Dual sharp fifth 241\411 (703.65¢)
Dual flat fifth 240\411 (700.73¢) (→80\137)
Dual major 2nd 70\411 (204.38¢)
Consistency limit 5
Distinct consistency limit 5

411 equal divisions of the octave (abbreviated 411edo or 411ed2), also called 411-tone equal temperament (411tet) or 411 equal temperament (411et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 411 equal parts of about 2.92 ¢ each. Each step represents a frequency ratio of 21/411, or the 411th root of 2.

Using the patent val, this equal temperament tempers out the comma 250047/250000.

Odd harmonics

Approximation of odd harmonics in 411edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.23 -0.91 +0.52 +0.47 +0.51 +0.35 +0.78 +0.15 +0.30 -0.71 -0.54
Relative (%) -42.0 -31.2 +17.7 +16.1 +17.4 +11.9 +26.8 +5.3 +10.2 -24.2 -18.4
Steps
(reduced)
651
(240)
954
(132)
1154
(332)
1303
(70)
1422
(189)
1521
(288)
1606
(373)
1680
(36)
1746
(102)
1805
(161)
1859
(215)


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