25ed5/2

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25ed5/2

26ed5/2 →

Prime factorization	52
Step size	63.4525¢
Octave	19\25ed5/2 (1205.6¢) (semiconvergent)
Twelfth	30\25ed5/2 (1903.58¢) (→6\5ed5/2)
Consistency limit	10
Distinct consistency limit	7

25 equal divisions of 5/2 (abbreviated 25ed5/2) is a nonoctave tuning system that divides the interval of 5/2 into 25 equal parts of about 63.5 ¢ each. Each step represents a frequency ratio of (5/2)^1/25, or the 25th root of 5/2.

Intervals

Degrees	Enneatonic			Cents
1	1#/2bb	F#/Gbb		63.4525
2	2b/1x	Gb/Fx		126.905
3	2	G		190.358
4	2#/3bb	G#/Jbb	G#/Abb	253.81
5	3b/2x	Jb/Gx	Ab/Gx	317.263
6	3	J	A	380.715
7	3#/4bb	J#/Abb	A#/Bbb	444.168
8	4b/3x	Ab/Jx	Bb/Ax	507.62
9	4	A	B	571.073
10	4#/5b	A#/Bb	B#/Hb	634.5255
11	5	B	H	697.978
12	5#/6bb	B#/Hbb	H#/Cbb	761.431
13	6b/5x	Hb/Bx	Cb/Hx	824.389
14	6	H	C	888.336
15	6#/7bb	H#/Cbb	C#/Dbb	951.788
16	7b/6x	Cb/Hx	Db/Cx	1015.241
17	7	C	D	1078.693
18	7#/8bb	C#/Dbb	D#/Sbb	1142.146
19	8b/7x	Db/Cx	Sb/Dx	1205.598
20	8	D	S	1269.051
21	8#/9bb	D#/Ebb	S#/Ebb	1332.5035
22	9b/8x	Eb/Dx	Eb/Sx	1395.956
23	9	E		1459.409
24	9#/1b	E#/Fb		1522.961
25	1	F		1586.314

Harmonics

Approximation of harmonics in 25ed5/2

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+5.6	+1.6	+11.2	+5.6	+7.2	-5.8	+16.8	+3.2	+11.2	-26.9	+12.8
	Relative (%)	+8.8	+2.6	+17.6	+8.8	+11.4	-9.2	+26.5	+5.1	+17.6	-42.4	+20.2
Steps (reduced)		19 (19)	30 (5)	38 (13)	44 (19)	49 (24)	53 (3)	57 (7)	60 (10)	63 (13)	65 (15)	68 (18)

Approximation of harmonics in 25ed5/2

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+1.2	-0.2	+7.2	+22.4	-19.1	+8.8	-21.3	+16.8	-4.2	-21.3	+28.6
	Relative (%)	+1.8	-0.4	+11.4	+35.3	-30.1	+13.9	-33.6	+26.5	-6.6	-33.6	+45.1
Steps (reduced)		70 (20)	72 (22)	74 (24)	76 (1)	77 (2)	79 (4)	80 (5)	82 (7)	83 (8)	84 (9)	86 (11)