102ed7/3

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Prime factorization	2 × 3 × 17
Step size	14.3811¢
Octave	83\102ed7/3 (1193.63¢)
Twelfth	132\102ed7/3 (1898.3¢) (→22\17ed7/3)
Consistency limit	3
Distinct consistency limit	3

102 equal divisions of 7/3 (abbreviated 102ed7/3) is a nonoctave tuning system that divides the interval of 7/3 into 102 equal parts of about 14.4 ¢ each. Each step represents a frequency ratio of (7/3)^1/102, or the 102nd root of 7/3.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	14.4
2	28.8
3	43.1
4	57.5	30/29, 31/30
5	71.9
6	86.3	21/20, 41/39
7	100.7	35/33
8	115	31/29
9	129.4
10	143.8
11	158.2	23/21, 34/31
12	172.6	21/19
13	187	29/26, 39/35
14	201.3
15	215.7	17/15
16	230.1
17	244.5
18	258.9	43/37
19	273.2	34/29, 41/35
20	287.6	13/11
21	302
22	316.4
23	330.8	23/19
24	345.1
25	359.5
26	373.9	41/33
27	388.3
28	402.7	29/23
29	417.1
30	431.4
31	445.8	22/17
32	460.2	30/23, 43/33
33	474.6
34	489
35	503.3
36	517.7	27/20, 31/23
37	532.1
38	546.5
39	560.9	29/21
40	575.2
41	589.6	38/27
42	604	44/31
43	618.4	10/7
44	632.8
45	647.1	45/31
46	661.5	22/15
47	675.9	31/21, 34/23
48	690.3
49	704.7
50	719.1
51	733.4	26/17, 29/19
52	747.8
53	762.2	45/29
54	776.6
55	791	30/19
56	805.3	35/22
57	819.7
58	834.1	34/21
59	848.5	31/19
60	862.9
61	877.2
62	891.6
63	906
64	920.4	17/10
65	934.8
66	949.2	45/26
67	963.5
68	977.9
69	992.3	39/22
70	1006.7	34/19
71	1021.1
72	1035.4
73	1049.8
74	1064.2
75	1078.6	41/22
76	1093
77	1107.3
78	1121.7	44/23
79	1136.1	27/14
80	1150.5	33/17
81	1164.9
82	1179.2
83	1193.6
84	1208
85	1222.4
86	1236.8	45/22
87	1251.2	35/17
88	1265.5
89	1279.9	44/21
90	1294.3	19/9
91	1308.7
92	1323.1
93	1337.4
94	1351.8
95	1366.2	11/5
96	1380.6	20/9
97	1395
98	1409.3
99	1423.7	25/11
100	1438.1	39/17
101	1452.5	44/19
102	1466.9	7/3

Harmonics

Approximation of harmonics in 102ed7/3

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-6.37	-3.65	+1.64	+3.62	+4.36	-3.65	-4.73	+7.08	-2.75	+4.82	-2.01
	Relative (%)	-44.3	-25.4	+11.4	+25.2	+30.3	-25.4	-32.9	+49.2	-19.1	+33.5	-14.0
Steps (reduced)		83 (83)	132 (30)	167 (65)	194 (92)	216 (12)	234 (30)	250 (46)	265 (61)	277 (73)	289 (85)	299 (95)

Approximation of harmonics in 102ed7/3

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+3.23	+4.36	-0.03	+3.28	-1.00	+0.71	-6.61	+5.26	+7.08	-1.55	-6.60
	Relative (%)	+22.4	+30.3	-0.2	+22.8	-7.0	+4.9	-45.9	+36.6	+49.2	-10.8	-45.9
Steps (reduced)		309 (3)	318 (12)	326 (20)	334 (28)	341 (35)	348 (42)	354 (48)	361 (55)	367 (61)	372 (66)	377 (71)