114edt

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← 113edt

114edt

115edt →

Prime factorization	2 × 3 × 19
Step size	16.6838¢
Octave	72\114edt (1201.23¢) (→12\19edt)
Consistency limit	17
Distinct consistency limit	11

Division of the third harmonic into 114 equal parts (114EDT) is related to 72 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 16.6838 cents. It is consistent to the 18-integer-limit, and significantly improves on 72edo's approximation to 13.

Lookalikes: 72edo, 186ed6

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	16.684
2	33.368
3	50.051	34/33, 35/34, 36/35
4	66.735	26/25, 27/26
5	83.419	21/20, 43/41
6	100.103	18/17, 35/33
7	116.787	31/29, 46/43
8	133.471	27/25, 40/37
9	150.154	12/11
10	166.838	11/10
11	183.522	10/9
12	200.206	46/41
13	216.89	17/15
14	233.573
15	250.257	37/32
16	266.941	7/6
17	283.625	33/28
18	300.309	25/21, 44/37
19	316.993	6/5
20	333.676	40/33
21	350.36
22	367.044	21/17, 47/38
23	383.728
24	400.412	29/23, 34/27
25	417.095	14/11
26	433.779	9/7
27	450.463	35/27, 48/37
28	467.147
29	483.831	37/28, 41/31, 45/34
30	500.514
31	517.198	31/23
32	533.882	34/25
33	550.566	11/8
34	567.25	25/18, 43/31
35	583.934	7/5
36	600.617	41/29
37	617.301	10/7
38	633.985
39	650.669	16/11
40	667.353	25/17, 47/32
41	684.036	43/29, 46/31
42	700.72	3/2
43	717.404
44	734.088	26/17
45	750.772	37/24
46	767.456
47	784.139	11/7
48	800.823	27/17, 46/29
49	817.507
50	834.191	34/21
51	850.875	18/11
52	867.558	33/20
53	884.242	5/3
54	900.926	32/19, 37/22
55	917.61	17/10
56	934.294	12/7
57	950.978	26/15, 45/26
58	967.661	7/4
59	984.345	30/17
60	1001.029	41/23
61	1017.713	9/5
62	1034.397	20/11
63	1051.08	11/6
64	1067.764
65	1084.448	43/23
66	1101.132	17/9
67	1117.816	21/11
68	1134.499
69	1151.183	35/18
70	1167.867
71	1184.551
72	1201.235	2/1
73	1217.919
74	1234.602
75	1251.286	33/16, 35/17
76	1267.97
77	1284.654	21/10
78	1301.338
79	1318.021	15/7
80	1334.705
81	1351.389	24/11
82	1368.073
83	1384.757
84	1401.441
85	1418.124	34/15
86	1434.808
87	1451.492	37/16
88	1468.176	7/3
89	1484.86	33/14
90	1501.543
91	1518.227
92	1534.911	17/7
93	1551.595
94	1568.279	47/19
95	1584.963	5/2
96	1601.646
97	1618.33	28/11
98	1635.014	18/7
99	1651.698
100	1668.382
101	1685.065	45/17
102	1701.749
103	1718.433	27/10
104	1735.117	30/11
105	1751.801	11/4
106	1768.484	25/9
107	1785.168
108	1801.852	17/6
109	1818.536	20/7
110	1835.22	26/9
111	1851.904	35/12
112	1868.587
113	1885.271
114	1901.955	3/1

Harmonics

Approximation of harmonics in 114edt

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+1.23	+0.00	+2.47	-0.12	+1.23	+1.30	+3.70	+0.00	+1.12	+2.95	+2.47
	Relative (%)	+7.4	+0.0	+14.8	-0.7	+7.4	+7.8	+22.2	+0.0	+6.7	+17.7	+14.8
Steps (reduced)		72 (72)	114 (0)	144 (30)	167 (53)	186 (72)	202 (88)	216 (102)	228 (0)	239 (11)	249 (21)	258 (30)

Approximation of harmonics in 114edt

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-2.63	+2.54	-0.12	+4.94	+0.09	+1.23	+7.73	+2.35	+1.30	+4.19	-6.03
	Relative (%)	-15.8	+15.2	-0.7	+29.6	+0.5	+7.4	+46.4	+14.1	+7.8	+25.1	-36.2
Steps (reduced)		266 (38)	274 (46)	281 (53)	288 (60)	294 (66)	300 (72)	306 (78)	311 (83)	316 (88)	321 (93)	325 (97)