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 1554ed2), also called 1554-tone equal temperament (1554tet) or 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 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 (%) +0.0 -3.2 -27.6 +37.0 +4.3 -48.3 +8.3 -27.9 +38.5 -30.2 +17.9
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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