User:Moremajorthanmajor/1ed25/24

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← 0ed25/24

1ed25/24

2ed25/24 →

Prime factorization	n/a
Step size	70.6724 ¢
Octave	17\1ed25/24 (1201.43 ¢)
Twelfth	27\1ed25/24 (1908.16 ¢)
Consistency limit	4
Distinct consistency limit	4
Special properties	Highly composite

1 equal division of 25/24 (1ed25/24), also known as ambitonal sequence of 25/24 (AS25/24) or 25/24 equal-step tuning, is the scale of integer multiples of the 25/24 third tone, and corresponds to 17edo with the octave stretched by 1.4314 cents.

Harmonics

1ed25/24 offers a good approximation of the no-5s 13-limit, and of the no-5s no-17s 23-limit.

Approximation of prime harmonics in 1ed25/24

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+1.4	+6.2	-30.1	+23.5	+18.4	+11.8	-28.6	-9.1	+13.5	-34.4	-8.6
	Relative (%)	+2.0	+8.8	-42.6	+33.2	+26.0	+16.7	-40.4	-12.9	+19.1	-48.7	-12.1
Step		17	27	39	48	59	63	69	72	77	82	84

(contd.)

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	-32.2	+2.1	-9.7	-22.3	-18.3	+8.1	+21.0	-0.0	-29.8	-7.2	-2.6
	Relative (%)	-45.5	+3.0	-13.7	-31.6	-25.9	+11.4	+29.8	-0.1	-42.1	-10.2	-3.7
Step		88	91	92	94	97	100	101	103	104	105	107