762148edo

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← 762147edo762148edo762149edo →
Prime factorization 22 × 190537
Step size 0.0015745¢ 
Fifth 445828\762148 (701.955¢) (→111457\190537)
Semitones (A1:m2) 72204:57304 (113.7¢ : 90.22¢)
Consistency limit 17
Distinct consistency limit 17

762148 equal divisions of the octave (abbreviated 762148edo or 762148ed2), also called 762148-tone equal temperament (762148tet) or 762148 equal temperament (762148et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 762148 equal parts of about 0.00157 ¢ each. Each step represents a frequency ratio of 21/762148, or the 762148th root of 2.

Theory

This EDO has a consistency limit of 17, but seems to be at its best in the 11-limit. It tempers out the Archangelic comma in the 3-limit.


Approximation of prime harmonics in 762148edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000000 +0.000000 +0.000230 +0.000096 +0.000174 +0.000425 +0.000583 -0.000722 +0.000476 -0.000786 +0.000300
Relative (%) +0.0 +0.0 +14.6 +6.1 +11.1 +27.0 +37.0 -45.9 +30.2 -49.9 +19.0
Steps
(reduced)
762148
(0)
1207976
(445828)
1769653
(245357)
2139620
(615324)
2636599
(350155)
2820283
(533839)
3115252
(66660)
3237549
(188957)
3447624
(399032)
3702500
(653908)
3775831
(727239)