40edt

40EDT is the equal division of the third harmonic into 40 parts of 47.5489 cents each, corresponding to 25.2372 edo. It is related to the regular temperament which tempers out |440 -219 -40> in the 5-limit, which is supported by 101, 429, 530, 959, 1388, 1817, 2246 and 2347 EDOs.

Intervals

Steps	Cents	Hekts	Approximate ratios
0	0	0	1/1
1	47.5	32.5
2	95.1	65	18/17, 19/18, 20/19
3	142.6	97.5	13/12
4	190.2	130	19/17
5	237.7	162.5	23/20
6	285.3	195	13/11, 20/17
7	332.8	227.5	17/14, 23/19
8	380.4	260
9	427.9	292.5	9/7, 23/18
10	475.5	325
11	523	357.5	19/14, 23/17, 27/20
12	570.6	390	18/13
13	618.1	422.5	10/7
14	665.7	455	28/19
15	713.2	487.5
16	760.8	520	14/9, 17/11
17	808.3	552.5
18	855.9	585	18/11, 23/14
19	903.4	617.5
20	951	650	19/11
21	998.5	682.5
22	1046.1	715	11/6
23	1093.6	747.5
24	1141.2	780	27/14, 29/15
25	1188.7	812.5
26	1236.3	845
27	1283.8	877.5	21/10, 23/11
28	1331.4	910	13/6, 28/13
29	1378.9	942.5	20/9
30	1426.5	975
31	1474	1007.5	7/3
32	1521.6	1040
33	1569.1	1072.5
34	1616.7	1105	28/11
35	1664.2	1137.5
36	1711.8	1170
37	1759.3	1202.5
38	1806.9	1235	17/6
39	1854.4	1267.5
40	1902	1300	3/1

Approximation of prime harmonics in 40edt
Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	-11.3	+0.0	+19.1	+7.1	-14.6	-18.5	-7.4	-9.8	-7.7	+18.9	-1.4
Error	Relative (%)	-23.7	+0.0	+40.1	+15.0	-30.6	-38.9	-15.6	-20.6	-16.2	+39.8	-3.0
Steps (reduced)		25 (25)	40 (0)	59 (19)	71 (31)	87 (7)	93 (13)	103 (23)	107 (27)	114 (34)	123 (3)	125 (5)

Approximation of prime harmonics in 40edt
Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	-22.4	-10.0	+2.7	-8.7	+21.1	-21.9	+15.4	-4.3	-9.6	-10.2	-4.3
Error	Relative (%)	-47.2	-21.0	+5.6	-18.2	+44.3	-46.1	+32.5	-9.1	-20.2	-21.4	-9.0
Steps (reduced)		131 (11)	135 (15)	137 (17)	140 (20)	145 (25)	148 (28)	150 (30)	153 (33)	155 (35)	156 (36)	159 (39)

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