80ed6

Division of the sixth harmonic into 80 equal parts (80ED6) is related to 31 edo, but with the 6/1 rather than the 2/1 being just. The octave is about 2 cents stretched and the step size is 38.77 cents.

← 79ed6

80ed6

81ed6 →

Prime factorization	24 × 5
Step size	38.7744 ¢
Octave	31\80ed6 (1202.01 ¢)
Twelfth	49\80ed6 (1899.95 ¢)
Consistency limit	12
Distinct consistency limit	9

Lookalikes: 31edo, 49edt, 72ed5, 18edf

Harmonics

Approximation of harmonics in 80ed6

Harmonic		2	3	4	5	6	7	8	9
Error	Absolute (¢)	+2.01	-2.01	+4.02	+5.45	+0.00	+4.55	+6.02	-4.02
	Relative (%)	+5.2	-5.2	+10.4	+14.0	+0.0	+11.7	+15.5	-10.4
Steps (reduced)		31 (31)	49 (49)	62 (62)	72 (72)	80 (0)	87 (7)	93 (13)	98 (18)

Approximation of harmonics in 80ed6

Harmonic		10	11	12	13	14	15	16	17
Error	Absolute (¢)	+7.45	-2.45	+2.01	+18.53	+6.56	+3.44	+8.03	-19.38
	Relative (%)	+19.2	-6.3	+5.2	+47.8	+16.9	+8.9	+20.7	-50.0
Steps (reduced)		103 (23)	107 (27)	111 (31)	115 (35)	118 (38)	121 (41)	124 (44)	126 (46)

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