306edo

← 305edo

306edo

307edo →

Prime factorization	2 × 32 × 17
Step size	3.92157 ¢
Fifth	179\306 (701.961 ¢) (convergent)
Semitones (A1:m2)	29:23 (113.7 ¢ : 90.2 ¢)
Consistency limit	5
Distinct consistency limit	5

306edo provides a very accurate fifth, only 0.0058 cents stretched. In the 5-limit, the patent val tempers out 78732/78125 (sensipent comma), whereas the alternative 306c val tempers out 32805/32768 (schisma). In the 7-limit the patent val tempers out 6144/6125, whereas 306c tempers out 16875/16807. 306 is the denominator of 179\306, the continued fraction convergent after 31\53 and before 389\665 in the sequence of continued fraction approximations to to log₂(3/2). On the 2*306 subgroup 2.3.25.7.55 it takes the same values as 612edo.

Prime harmonics

Approximation of prime harmonics in 306edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	+0.006	+1.922	-0.198	+1.623	-1.312	+0.927	+0.526	-0.823	+1.795	+0.062
	Relative (%)	+0.0	+0.1	+49.0	-5.1	+41.4	-33.5	+23.6	+13.4	-21.0	+45.8	+1.6
Steps (reduced)		306 (0)	485 (179)	711 (99)	859 (247)	1059 (141)	1132 (214)	1251 (27)	1300 (76)	1384 (160)	1487 (263)	1516 (292)

Subsets and supersets

Since 306 factors into 2 × 3² × 17, 306edo has subset edos 2, 3, 6, 9, 17, 18, 34, 51, 102, and 153.