User:MisterShafXen/45ed7

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45ed7

46ed7 →

Prime factorization	32 × 5
Step size	74.8628 ¢
Octave	16\45ed7 (1197.8 ¢) (semiconvergent)
Twelfth	25\45ed7 (1871.57 ¢) (→ 5\9ed7)
Consistency limit	8
Distinct consistency limit	6

45 equal divisions of the 7th harmonic (abbreviated 45ed7) is a nonoctave tuning system that divides the interval of 7/1 into 45 equal parts of about 74.9 ¢ each. Each step represents a frequency ratio of 7^1/45, or the 45th root of 7.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	74.9	22/21, 25/24
2	149.7	12/11
3	224.6	25/22
4	299.5	19/16, 25/21, 31/26
5	374.3	26/21, 31/25
6	449.2	13/10, 31/24
7	524	19/14, 23/17
8	598.9	31/22
9	673.8	28/19, 31/21
10	748.6	20/13
11	823.5
12	898.4
13	973.2	7/4
14	1048.1	11/6
15	1122.9	21/11
16	1197.8	2/1
17	1272.7	25/12
18	1347.5	24/11
19	1422.4	25/11
20	1497.3	19/8
21	1572.1
22	1647	31/12
23	1721.8
24	1796.7	31/11
25	1871.6
26	1946.4
27	2021.3
28	2096.2
29	2171	7/2
30	2245.9	11/3
31	2320.7
32	2395.6	4/1
33	2470.5	25/6
34	2545.3
35	2620.2
36	2695.1	19/4
37	2769.9
38	2844.8	31/6
39	2919.6
40	2994.5
41	3069.4
42	3144.2
43	3219.1
44	3294
45	3368.8	7/1