1714833edo

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This page presents a novelty topic. It features ideas which are less likely to find practical applications in xenharmonic music. It may contain numbers that are impractically large, exceedingly complex or chosen arbitrarily.

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← 1714832edo1714833edo1714834edo →
Prime factorization 32 × 190537
Step size 0.000699777¢
Fifth 1003113\1714833 (701.955¢) (→111457\190537)
Semitones (A1:m2) 162459:128934 (113.7¢ : 90.22¢)
Consistency limit 11
Distinct consistency limit 11

1714833 equal divisions of the octave (abbreviated 1714833edo or 1714833ed2), also called 1714833-tone equal temperament (1714833tet) or 1714833 equal temperament (1714833et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1714833 equal parts of about 0.0007 ¢ each. Each step represents a frequency ratio of 21/1714833, or the 1714833rd root of 2.

Theory

This EDO seems to be at its best in the 2.3.5.7.13.17.29 subgroup.


Approximation of prime harmonics in 1714833edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.000000 +0.000000 +0.000055 +0.000096 +0.000349 -0.000100 -0.000116 -0.000197 -0.000224 -0.000087 -0.000225
relative (%) +0 +0 +8 +14 +50 -14 -17 -28 -32 -12 -32
Steps
(reduced)
1714833
(0)
2717946
(1003113)
3981719
(552053)
4814145
(1384479)
5932348
(787849)
6345636
(1201137)
7009316
(149984)
7284486
(425154)
7757153
(897821)
8330626
(1471294)
8495619
(1636287)


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