1ed26/25

← 0ed26/25

1ed26/25

2ed26/25 →

Prime factorization	n/a
Step size	67.9002¢
Octave	18\1ed26/25 (1222.2¢)
Twelfth	28\1ed26/25 (1901.21¢)
Consistency limit	3
Distinct consistency limit	1
Special properties	Highly composite

1 equal division of 26/25 (1ed26/25), also known as ambitonal sequence of 26/25 (AS26/25) or 26/25 equal-step tuning, is the scale of integer multiples of the 26/25 third tone, and corresponds to 18edo with the octave stretched by 22.2 cents, or almost exactly to 28edt.

Harmonics

1ed26/25 offers an okay approximation of the no-31s 71-limit. Alternatively, it can be seen as a high accuracy no-2s, no-7s, no-13s 29-limit tuning.

Approximation of prime harmonics in 1ed26/25

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+22.2	-0.7	-2.4	+26.2	-9.4	-27.0	-16.1	-5.0	+3.7	+9.8	+30.2
	Relative (%)	+32.7	-1.1	-3.5	+38.6	-13.8	-39.8	-23.8	-7.4	+5.5	+14.5	+44.5
Step		18	28	41	50	61	65	72	75	80	86	88

(contd.)

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	-4.5	+21.5	+6.9	-11.3	-15.6	+2.5	+12.6	-14.0	+21.4	-26.7	-27.6
	Relative (%)	-6.7	+31.6	+10.2	-16.6	-22.9	+3.6	+18.6	-20.6	+31.6	-39.3	-40.7
Step		92	95	96	98	101	104	105	107	109	109	111

18edo for comparsion

Approximation of prime harmonics in 18edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0	+31.4	+13.7	+31.2	-18.0	+26.1	+28.4	-30.8	-28.3	-29.6	-11.7
	Relative (%)	+0.0	+47.1	+20.5	+46.8	-27.0	+39.2	+42.6	-46.3	-42.4	-44.4	-17.6
Steps (reduced)		18 (0)	29 (11)	42 (6)	51 (15)	62 (8)	67 (13)	74 (2)	76 (4)	81 (9)	87 (15)	89 (17)

(contd.)

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	+15.3	-29.1	+21.8	+1.2	-6.8	+7.5	+16.4	-12.6	+20.3	-27.8	-31.2
	Relative (%)	+23.0	-43.6	+32.7	+1.7	-10.3	+11.2	+24.7	-19.0	+30.5	-41.7	-46.8
Steps (reduced)		94 (4)	96 (6)	98 (8)	100 (10)	103 (13)	106 (16)	107 (17)	109 (1)	111 (3)	111 (3)	113 (5)

28edt for comparsion

Approximation of prime harmonics in 28edt

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+22.7	+0.0	-1.3	+27.5	-7.8	-25.3	-14.2	-3.0	+5.9	+12.1	+32.5
	Relative (%)	+33.4	+0.0	-1.9	+40.5	-11.4	-37.2	-20.9	-4.4	+8.7	+17.9	+47.9
Steps (reduced)		18 (18)	28 (0)	41 (13)	50 (22)	61 (5)	65 (9)	72 (16)	75 (19)	80 (24)	86 (2)	88 (4)

(contd.)

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	-2.1	+24.0	+9.5	-8.7	-12.9	+5.2	+15.4	-11.1	+24.3	-23.8	-24.6
	Relative (%)	-3.0	+35.3	+13.9	-12.8	-19.0	+7.7	+22.7	-16.4	+35.8	-35.0	-36.3
Steps (reduced)		92 (8)	95 (11)	96 (12)	98 (14)	101 (17)	104 (20)	105 (21)	107 (23)	109 (25)	109 (25)	111 (27)