73ed7

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73ed7

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Prime factorization	73 (prime)
Step size	46.1483 ¢
Octave	26\73ed7 (1199.86 ¢) (convergent)
Twelfth	41\73ed7 (1892.08 ¢)
Consistency limit	14
Distinct consistency limit	9

Division of the 7th harmonic into 73 equal parts (73ed7) is almost identical to 26 edo, but with the 7/1 rather than the 2/1 being just. The octave is slightly compressed (about 0.1442 cents) and the step size is about 46.1483 cents. The patent val has a generally flat tendency for harmonics up to 21, with exception for 11th harmonic.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	46.1	36/35, 37/36, 38/37
2	92.3	19/18, 20/19
3	138.4	13/12
4	184.6	10/9
5	230.7	8/7
6	276.9	34/29
7	323	35/29
8	369.2	21/17, 26/21
9	415.3	14/11, 33/26
10	461.5	17/13
11	507.6
12	553.8	11/8
13	599.9	17/12, 24/17
14	646.1	16/11, 29/20
15	692.2
16	738.4	26/17
17	784.5	11/7
18	830.7	21/13, 34/21
19	876.8
20	923	29/17
21	969.1	7/4
22	1015.3	9/5
23	1061.4	24/13
24	1107.6	36/19
25	1153.7	35/18, 37/19
26	1199.9	2/1
27	1246	37/18
28	1292.2	19/9
29	1338.3	13/6
30	1384.4	20/9
31	1430.6	16/7
32	1476.7
33	1522.9
34	1569
35	1615.2	28/11, 33/13
36	1661.3	34/13
37	1707.5
38	1753.6	11/4
39	1799.8	17/6
40	1845.9	29/10, 32/11
41	1892.1
42	1938.2
43	1984.4	22/7
44	2030.5
45	2076.7
46	2122.8
47	2169	7/2
48	2215.1	18/5
49	2261.3
50	2307.4
51	2353.6	35/9
52	2399.7	4/1
53	2445.9	37/9
54	2492	38/9
55	2538.2	13/3
56	2584.3
57	2630.5	32/7
58	2676.6
59	2722.7
60	2768.9
61	2815
62	2861.2
63	2907.3
64	2953.5	11/2
65	2999.6	17/3
66	3045.8	29/5
67	3091.9
68	3138.1
69	3184.2
70	3230.4
71	3276.5
72	3322.7
73	3368.8	7/1

Harmonics

Approximation of prime harmonics in 73ed7

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	-0.1	-9.9	-17.4	+0.0	+2.0	-10.3	-13.2	-21.2	+17.2	-14.9	+8.1
	Relative (%)	-0.3	-21.4	-37.7	+0.0	+4.4	-22.3	-28.7	-45.9	+37.3	-32.3	+17.5
Steps (reduced)		26 (26)	41 (41)	60 (60)	73 (0)	90 (17)	96 (23)	106 (33)	110 (37)	118 (45)	126 (53)	129 (56)

Approximation of prime harmonics in 73ed7

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	-21.3	-14.4	-4.6	-20.2	+2.6	+1.5	-10.0	+12.1	+4.0	+2.1	+3.8
	Relative (%)	-46.2	-31.3	-10.0	-43.7	+5.6	+3.3	-21.8	+26.3	+8.7	+4.5	+8.2
Steps (reduced)		135 (62)	139 (66)	141 (68)	144 (71)	149 (3)	153 (7)	154 (8)	158 (12)	160 (14)	161 (15)	164 (18)

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