1554edo

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← 1553edo1554edo1555edo →
Prime factorization 2 × 3 × 7 × 37
Step size 0.772201¢
Fifth 909\1554 (701.931¢) (→303\518)
Semitones (A1:m2) 147:117 (113.5¢ : 90.35¢)
Consistency limit 5
Distinct consistency limit 5

1554 equal divisions of the octave (abbreviated 1554edo), or 1554-tone equal temperament (1554tet), 1554 equal temperament (1554et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1554 equal parts of about 0.772 ¢ each. Each step of 1554edo represents a frequency ratio of 21/1554, or the 1554th root of 2.

This system apparently is at its best in the 2.3.11.17 subgroup.

Prime harmonics

Approximation of prime harmonics in 1554edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.000 -0.024 -0.213 +0.286 +0.033 -0.373 +0.064 -0.216 +0.297 -0.234 +0.138
relative (%) +0 -3 -28 +37 +4 -48 +8 -28 +38 -30 +18
Steps
(reduced)
1554
(0)
2463
(909)
3608
(500)
4363
(1255)
5376
(714)
5750
(1088)
6352
(136)
6601
(385)
7030
(814)
7549
(1333)
7699
(1483)


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