49edf

← 48edf

49edf

50edf →

Prime factorization	72
Step size	14.3256 ¢
Octave	84\49edf (1203.35 ¢) (→ 12\7edf)
Twelfth	133\49edf (1905.31 ¢) (→ 19\7edf)
Consistency limit	4
Distinct consistency limit	4

49EDF is the equal division of the just perfect fifth into 49 parts of 14.3256 cents each, corresponding to 83.7661 edo (similar to every fourth step of 335edo).

It is related to the temperament which tempers out |71 27 -49> in the 5-limit, which is supported by 83, 84, 167, 251, 335, 419, 503, and 586 EDOs.

Lookalikes: 84edo, 133edt

Harmonics

Subgroups 49edf performs well on include the no-5s 31-limit, the dual-5 31-limit, and any subsets thereof.

Approximation of prime harmonics in 49edf

Harmonic		2	3	5	7	11	13	17
Error	Absolute (¢)	+3.35	+3.35	-7.14	-2.31	+3.11	+0.41	-5.60
	Relative (%)	+23.4	+23.4	-49.9	-16.1	+21.7	+2.9	-39.1
Steps (reduced)		84 (35)	133 (35)	194 (47)	235 (39)	290 (45)	310 (16)	342 (48)

(contd.)

Harmonic		19	23	29	31	37	41	43
Error	Absolute (¢)	+2.40	+1.13	+0.95	+0.09	-5.38	+3.14	+6.64
	Relative (%)	+16.8	+7.9	+6.6	+0.7	-37.5	+21.9	+46.3
Steps (reduced)		356 (13)	379 (36)	407 (15)	415 (23)	436 (44)	449 (8)	455 (14)