131edt

← 130edt

131edt

132edt →

Prime factorization	131 (prime)
Step size	14.5187¢
Octave	83\131edt (1205.06¢)
Consistency limit	2
Distinct consistency limit	2

131edt is the equal division of the third harmonic into 131 parts of 14.5187 cents each, corresponding to 82.6520 edo (similar to every third step of 248edo). It is notable for consistency to the no-evens 25-throdd limit. Furthermore, several higher primes, including 29, 31, 37, 43, and 53, lie at close to halfway between 131edt's steps; therefore 262edt, which doubles it, improves representation of a large spectrum of primes, though it loses consistency of a few intervals of 19.

131edt is the 16th no-twos zeta peak EDT.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	14.519
2	29.037
3	43.556	39/38
4	58.075	30/29
5	72.594	49/47
6	87.112	41/39
7	101.631	35/33
8	116.15
9	130.669	41/38
10	145.187	25/23, 37/34
11	159.706	45/41
12	174.225	21/19
13	188.744	29/26, 39/35
14	203.262
15	217.781	17/15, 42/37
16	232.3
17	246.819	15/13
18	261.337
19	275.856	27/23, 34/29
20	290.375	13/11
21	304.894
22	319.412
23	333.931
24	348.45	11/9
25	362.969	37/30
26	377.487	41/33, 46/37, 51/41
27	392.006
28	406.525
29	421.043	37/29
30	435.562	9/7
31	450.081	35/27
32	464.6	17/13
33	479.118	29/22, 33/25
34	493.637
35	508.156	51/38
36	522.675	23/17, 50/37
37	537.193	15/11
38	551.712
39	566.231	43/31
40	580.75	7/5
41	595.268
42	609.787	27/19, 37/26
43	624.306	33/23
44	638.825
45	653.343	51/35
46	667.862	25/17
47	682.381
48	696.9
49	711.418
50	725.937	35/23, 38/25
51	740.456	23/15
52	754.975	17/11
53	769.493	39/25
54	784.012	11/7
55	798.531	46/29
56	813.049
57	827.568
58	842.087
59	856.606	41/25
60	871.124
61	885.643	5/3
62	900.162	37/22
63	914.681	39/23
64	929.199
65	943.718	50/29
66	958.237	47/27
67	972.756
68	987.274	23/13
69	1001.793	41/23
70	1016.312	9/5
71	1030.831	49/27
72	1045.349
73	1059.868
74	1074.387
75	1088.906
76	1103.424
77	1117.943	21/11
78	1132.462	25/13
79	1146.98	33/17
80	1161.499	45/23
81	1176.018
82	1190.537
83	1205.055
84	1219.574
85	1234.093	51/25
86	1248.612	35/17, 37/18
87	1263.13
88	1277.649	23/11
89	1292.168	19/9
90	1306.687
91	1321.205	15/7
92	1335.724
93	1350.243
94	1364.762	11/5
95	1379.28	51/23
96	1393.799	38/17, 47/21
97	1408.318
98	1422.837	25/11
99	1437.355	39/17
100	1451.874
101	1466.393	7/3
102	1480.912
103	1495.43
104	1509.949
105	1524.468	41/17
106	1538.986
107	1553.505	27/11
108	1568.024	47/19
109	1582.543
110	1597.061
111	1611.58	33/13
112	1626.099	23/9
113	1640.618	49/19
114	1655.136	13/5
115	1669.655
116	1684.174	37/14, 45/17
117	1698.693
118	1713.211	35/13
119	1727.73	19/7
120	1742.249	41/15
121	1756.768
122	1771.286
123	1785.805
124	1800.324
125	1814.843
126	1829.361
127	1843.88	29/10
128	1858.399	38/13
129	1872.918
130	1887.436
131	1901.955	3/1

Harmonics

Approximation of prime harmonics in 131edt

Harmonic		2	3	5	7	11	13	17	19	23
Error	Absolute (¢)	+5.06	+0.00	+1.28	-0.48	+1.04	+2.21	+2.38	-1.44	+1.73
	Relative (%)	+34.8	+0.0	+8.8	-3.3	+7.2	+15.2	+16.4	-9.9	+11.9
Steps (reduced)		83 (83)	131 (0)	192 (61)	232 (101)	286 (24)	306 (44)	338 (76)	351 (89)	374 (112)

Approximation of odd harmonics in 131edt

Harmonic		25	27	29	31	33	35	37	39	41	43	45	47	49	51	53
Error	Absolute (¢)	+2.57	+0.00	+6.96	-6.87	+1.04	+0.81	+6.23	+2.21	+2.74	-7.12	+1.28	-1.40	-0.96	+2.38	-6.14
	Relative (%)	+17.7	+0.0	+47.9	-47.3	+7.2	+5.6	+42.9	+15.2	+18.9	-49.1	+8.8	-9.7	-6.6	+16.4	-42.3
Steps (reduced)		384 (122)	393 (0)	402 (9)	409 (16)	417 (24)	424 (31)	431 (38)	437 (44)	443 (50)	448 (55)	454 (61)	459 (66)	464 (71)	469 (76)	473 (80)