130edt

This page is a stub. You can help the Xenharmonic Wiki by expanding it.

← 129edt

130edt

131edt →

Prime factorization	2 × 5 × 13
Step size	14.6304¢
Octave	82\130edt (1199.69¢) (→41\65edt)
Consistency limit	10
Distinct consistency limit	10

130 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 130edt or 130ed3), is a nonoctave tuning system that divides the interval of 3/1 into 130 equal parts of about 14.6 ¢ each. Each step represents a frequency ratio of 3^1/130, or the 130th root of 3.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	14.6
2	29.3
3	43.9	41/40
4	58.5	30/29, 31/30
5	73.2	24/23
6	87.8	20/19
7	102.4
8	117	31/29, 46/43
9	131.7	41/38
10	146.3	37/34, 49/45
11	160.9	34/31, 45/41
12	175.6	31/28, 52/47
13	190.2	48/43
14	204.8	9/8
15	219.5	42/37
16	234.1
17	248.7
18	263.3
19	278	27/23
20	292.6	32/27, 45/38
21	307.2	37/31, 43/36, 49/41
22	321.9	47/39
23	336.5	17/14
24	351.1	38/31, 49/40
25	365.8	21/17
26	380.4
27	395
28	409.7	19/15
29	424.3	23/18
30	438.9	49/38
31	453.5
32	468.2	38/29
33	482.8	37/28, 41/31
34	497.4	4/3
35	512.1	43/32
36	526.7	42/31
37	541.3	41/30
38	556	40/29, 51/37
39	570.6	32/23
40	585.2
41	599.8	41/29
42	614.5
43	629.1	23/16
44	643.7	29/20, 45/31
45	658.4
46	673	28/19, 31/21
47	687.6
48	702.3	3/2
49	716.9
50	731.5	29/19
51	746.2
52	760.8	45/29
53	775.4	36/23
54	790	30/19
55	804.7	43/27
56	819.3
57	833.9	34/21
58	848.6	31/19, 49/30
59	863.2	28/17, 51/31
60	877.8
61	892.5
62	907.1	27/16, 49/29
63	921.7	46/27
64	936.3
65	951
66	965.6
67	980.2	37/21
68	994.9	16/9
69	1009.5	43/24
70	1024.1	47/26
71	1038.8	31/17, 51/28
72	1053.4
73	1068
74	1082.7	43/23
75	1097.3
76	1111.9	19/10
77	1126.5	23/12
78	1141.2	29/15
79	1155.8
80	1170.4
81	1185.1
82	1199.7	2/1
83	1214.3
84	1229
85	1243.6	41/20
86	1258.2	31/15
87	1272.8	48/23
88	1287.5	40/19
89	1302.1
90	1316.7
91	1331.4	41/19
92	1346	37/17
93	1360.6
94	1375.3	31/14
95	1389.9
96	1404.5	9/4
97	1419.2
98	1433.8
99	1448.4
100	1463
101	1477.7
102	1492.3	45/19
103	1506.9	43/18
104	1521.6
105	1536.2	17/7
106	1550.8	49/20
107	1565.5	42/17
108	1580.1
109	1594.7
110	1609.3	38/15
111	1624	23/9
112	1638.6	49/19
113	1653.2
114	1667.9
115	1682.5	37/14
116	1697.1	8/3
117	1711.8	43/16
118	1726.4
119	1741	41/15
120	1755.7
121	1770.3
122	1784.9
123	1799.5
124	1814.2
125	1828.8	23/8
126	1843.4	29/10
127	1858.1
128	1872.7
129	1887.3
130	1902	3/1

Harmonics

Approximation of harmonics in 130edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-0.31	+0.00	-0.61	-6.53	-0.31	-3.83	-0.92	+0.00	-6.84	+3.72	-0.61
	Relative (%)	-2.1	+0.0	-4.2	-44.7	-2.1	-26.2	-6.3	+0.0	-46.7	+25.4	-4.2
Steps (reduced)		82 (82)	130 (0)	164 (34)	190 (60)	212 (82)	230 (100)	246 (116)	260 (0)	272 (12)	284 (24)	294 (34)

Approximation of harmonics in 130edt

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+7.12	-4.13	-6.53	-1.22	-3.76	-0.31	-6.13	-7.14	-3.83	+3.42	-0.39
	Relative (%)	+48.7	-28.3	-44.7	-8.3	-25.7	-2.1	-41.9	-48.8	-26.2	+23.4	-2.6
Steps (reduced)		304 (44)	312 (52)	320 (60)	328 (68)	335 (75)	342 (82)	348 (88)	354 (94)	360 (100)	366 (106)	371 (111)