5985edo

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← 5984edo5985edo5986edo →
Prime factorization 32 × 5 × 7 × 19
Step size 0.200501¢
Fifth 3501\5985 (701.955¢) (→389\665)
Semitones (A1:m2) 567:450 (113.7¢ : 90.23¢)
Consistency limit 15
Distinct consistency limit 15

5985 equal divisions of the octave (abbreviated 5985edo), or 5985-tone equal temperament (5985tet), 5985 equal temperament (5985et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 5985 equal parts of about 0.201 ¢ each. Each step of 5985edo represents a frequency ratio of 21/5985, or the 5985th root of 2.

Theory

This EDO has a consistency limit of 15.


Approximation of prime harmonics in 5985edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.0000 -0.0001 +0.0522 -0.0039 +0.0605 -0.0264 -0.0933 +0.0308 +0.0966 -0.0033 +0.0271
relative (%) +0 -0 +26 -2 +30 -13 -47 +15 +48 -2 +14
Steps
(reduced)
5985
(0)
9486
(3501)
13897
(1927)
16802
(4832)
20705
(2750)
22147
(4192)
24463
(523)
25424
(1484)
27074
(3134)
29075
(5135)
29651
(5711)


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