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. Novelty topics are often developed by a single person or a small group. As such, this page may also feature idiosyncratic terms, notations or conceptual frameworks.
← 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 +0.0 +7.9 +13.7 +49.9 -14.3 -16.6 -28.2 -32.0 -12.4 -32.2
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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