79edt

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79edt

80edt →

Prime factorization	79 (prime)
Step size	24.0754 ¢
Octave	50\79edt (1203.77 ¢)
Consistency limit	10
Distinct consistency limit	9

Division of the third harmonic into 79 equal parts (79EDT) is related to 50 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 3.7690 cents stretched and the step size is about 24.0754 cents. It is consistent to the 10-integer-limit.

Lookalikes: 50edo, 116ed5, 129ed6, 140ed7, 29edf

Intervals

Steps	Cents	Hekts	Approximate ratios
0	0	0	1/1
1	24.1	16.5
2	48.2	32.9	35/34, 36/35, 37/36, 38/37
3	72.2	49.4	25/24
4	96.3	65.8	18/17, 19/18, 37/35
5	120.4	82.3	15/14
6	144.5	98.7	37/34, 38/35
7	168.5	115.2
8	192.6	131.6	19/17
9	216.7	148.1	17/15
10	240.8	164.6	31/27
11	264.8	181	7/6
12	288.9	197.5	13/11
13	313	213.9	6/5
14	337.1	230.4	17/14
15	361.1	246.8	37/30
16	385.2	263.3	5/4
17	409.3	279.7	19/15
18	433.4	296.2	9/7
19	457.4	312.7
20	481.5	329.1	29/22, 37/28
21	505.6	345.6
22	529.7	362	19/14, 34/25
23	553.7	378.5
24	577.8	394.9
25	601.9	411.4	17/12
26	626	427.8	33/23
27	650	444.3	35/24
28	674.1	460.8	28/19, 31/21
29	698.2	477.2
30	722.3	493.7	38/25
31	746.3	510.1	37/24
32	770.4	526.6	25/16
33	794.5	543	19/12
34	818.6	559.5
35	842.6	575.9
36	866.7	592.4	28/17
37	890.8	608.9
38	914.9	625.3	39/23
39	938.9	641.8	31/18
40	963	658.2
41	987.1	674.7	23/13
42	1011.2	691.1
43	1035.2	707.6
44	1059.3	724.1	35/19
45	1083.4	740.5	28/15
46	1107.5	757	36/19
47	1131.5	773.4
48	1155.6	789.9	37/19
49	1179.7	806.3
50	1203.8	822.8
51	1227.8	839.2
52	1251.9	855.7	35/17
53	1276	872.2	23/11
54	1300.1	888.6	36/17
55	1324.1	905.1
56	1348.2	921.5	37/17
57	1372.3	938
58	1396.4	954.4
59	1420.4	970.9
60	1444.5	987.3
61	1468.6	1003.8	7/3
62	1492.7	1020.3
63	1516.7	1036.7	12/5
64	1540.8	1053.2
65	1564.9	1069.6	37/15
66	1589	1086.1	5/2
67	1613.1	1102.5	33/13
68	1637.1	1119	18/7
69	1661.2	1135.4
70	1685.3	1151.9	37/14
71	1709.4	1168.4
72	1733.4	1184.8
73	1757.5	1201.3
74	1781.6	1217.7	14/5
75	1805.7	1234.2	17/6
76	1829.7	1250.6
77	1853.8	1267.1	35/12
78	1877.9	1283.5
79	1902	1300	3/1

Harmonics

Approximation of harmonics in 79edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+3.8	+0.0	+7.5	+6.4	+3.8	+1.7	+11.3	+0.0	+10.2	-10.4	+7.5
	Relative (%)	+15.7	+0.0	+31.3	+26.7	+15.7	+7.2	+47.0	+0.0	+42.4	-43.0	+31.3
Steps (reduced)		50 (50)	79 (0)	100 (21)	116 (37)	129 (50)	140 (61)	150 (71)	158 (0)	166 (8)	172 (14)	179 (21)

Approximation of harmonics in 79edt

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-10.7	+5.5	+6.4	-9.0	+6.4	+3.8	+6.5	-10.1	+1.7	-6.6	-11.3
	Relative (%)	-44.3	+22.8	+26.7	-37.4	+26.7	+15.7	+26.9	-42.0	+7.2	-27.3	-47.0
Steps (reduced)		184 (26)	190 (32)	195 (37)	199 (41)	204 (46)	208 (50)	212 (54)	215 (57)	219 (61)	222 (64)	225 (67)