1554edo

← 1553edo

1554edo

1555edo →

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

The 1554 equal divisions of the octave, or the 1554-tone equal temperament (1554tet), 1554 equal temperament (1554et) when viewed from a regular temperament perspective, divides the octave into 1554 equal parts of about 0.772 cents each.

Theory

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

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)