1000ed11

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← 999ed111000ed111001ed11 →
Prime factorization 23 × 53
Step size 4.15132¢
Octave 289\1000ed11 (1199.73¢)
Twelfth 458\1000ed11 (1901.3¢) (→229\500ed11)
Consistency limit 6
Distinct consistency limit 6

1000ed11 is related to 289edo, but with 11/1 instead of 2/1 being just.

Theory

The patent vals agree through the 5-limit, however they disagree on the mapping for 7.

Approximation of harmonics in 1000ed11
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error absolute (¢) -0.27 -0.65 -0.54 -0.78 -0.92 +2.04 -0.81 -1.30 -1.05 +0.00 -1.19
relative (%) -6 -16 -13 -19 -22 +49 -19 -31 -25 +0 -29
Steps
(reduced)
289
(289)
458
(458)
578
(578)
671
(671)
747
(747)
812
(812)
867
(867)
916
(916)
960
(960)
1000
(0)
1036
(36)