95ed7/3

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95ed7/3

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Prime factorization	5 × 19
Step size	15.4407¢
Octave	78\95ed7/3 (1204.38¢)
Twelfth	123\95ed7/3 (1899.21¢)
Consistency limit	3
Distinct consistency limit	3

95 equal divisions of 7/3 (abbreviated 95ed7/3) is a nonoctave tuning system that divides the interval of 7/3 into 95 equal parts of about 15.4 ¢ each. Each step represents a frequency ratio of (7/3)^1/95, or the 95th root of 7/3.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	15.441
2	30.881
3	46.322	37/36, 38/37, 39/38, 40/39
4	61.763	29/28
5	77.204	23/22
6	92.644	19/18, 39/37
7	108.085	33/31
8	123.526	43/40
9	138.967	13/12
10	154.407
11	169.848	43/39
12	185.289
13	200.73
14	216.17	43/38
15	231.611
16	247.052
17	262.493	43/37
18	277.933	34/29
19	293.374
20	308.815	37/31, 43/36
21	324.256
22	339.696	28/23
23	355.137
24	370.578
25	386.019
26	401.459	29/23
27	416.9	14/11
28	432.341
29	447.782	22/17, 35/27
30	463.222	17/13
31	478.663	29/22
32	494.104
33	509.545
34	524.985	23/17, 42/31
35	540.426	41/30
36	555.867	40/29
37	571.308	39/28
38	586.748
39	602.189	17/12
40	617.63	10/7
41	633.071
42	648.511
43	663.952
44	679.393	43/29
45	694.834
46	710.274
47	725.715	41/27
48	741.156	43/28
49	756.597	31/20
50	772.037
51	787.478
52	802.919
53	818.36
54	833.8
55	849.241	31/19
56	864.682	28/17, 33/20
57	880.123
58	895.563
59	911.004	22/13
60	926.445	29/17
61	941.886	31/18
62	957.326	33/19, 40/23
63	972.767
64	988.208	23/13
65	1003.649
66	1019.089	9/5
67	1034.53	20/11
68	1049.971	11/6
69	1065.411	37/20
70	1080.852	43/23
71	1096.293
72	1111.734	19/10
73	1127.174	23/12
74	1142.615
75	1158.056	39/20, 41/21, 43/22
76	1173.497
77	1188.937
78	1204.378
79	1219.819
80	1235.26
81	1250.7
82	1266.141
83	1281.582
84	1297.023	36/17
85	1312.463
86	1327.904	28/13
87	1343.345
88	1358.786
89	1374.226	31/14, 42/19
90	1389.667	29/13
91	1405.108
92	1420.549
93	1435.989	39/17
94	1451.43
95	1466.871	7/3

Harmonics

Approximation of harmonics in 95ed7/3

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+4.38	-2.74	-6.68	-6.98	+1.64	-2.74	-2.31	-5.49	-2.60	+2.24	+6.01
	Relative (%)	+28.4	-17.8	-43.3	-45.2	+10.6	-17.8	-14.9	-35.5	-16.8	+14.5	+38.9
Steps (reduced)		78 (78)	123 (28)	155 (60)	180 (85)	201 (11)	218 (28)	233 (43)	246 (56)	258 (68)	269 (79)	279 (89)

Approximation of harmonics in 95ed7/3

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+6.41	+1.64	+5.72	+2.07	+5.20	-1.11	-2.07	+1.78	-5.49	+6.62	+6.87
	Relative (%)	+41.5	+10.6	+37.0	+13.4	+33.7	-7.2	-13.4	+11.5	-35.5	+42.9	+44.5
Steps (reduced)		288 (3)	296 (11)	304 (19)	311 (26)	318 (33)	324 (39)	330 (45)	336 (51)	341 (56)	347 (62)	352 (67)