44ed7

← 43ed7

44ed7

45ed7 →

Prime factorization	22 × 11
Step size	76.5642¢
Octave	16\44ed7 (1225.03¢) (→4\11ed7)
Twelfth	25\44ed7 (1914.11¢)
Consistency limit	3
Distinct consistency limit	3

Division of the 7th harmonic into 44 equal parts (44ed7) is related to 25edt, but with the 7/1 rather than the 3/1 being just. The step size is about 76.5642 cents, corresponding to 15.6731 edo.

Intervals

Intervals of 44ed7

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	76.5642	25/24~22/21
2	153.1285	12/11
3	229.6927	8/7
4	306.2569	25/21
5	382.8211	5/4
6	459.3854	13/10
7	535.9496	15/11
8	612.5138
9	689.0780	119/80
10	765.6423	14/9
11	842.2065	13/8
12	918.7707	17/10
13	995.3349	16/9
14	1071.8992	13/7
15	1148.4634	35/18
16	1225.0276
17	1301.5918	17/8
18	1378.1561	20/9
19	1454.7203	44/19~51/22
20	1531.2845
21	1607.8487	38/15
22	1684.4130	119/45, 45/17
23	1760.9772	36/13
24	1837.5414	26/9
25	1914.1056
26	1990.6699	63/20
27	2067.2341	56/17
28	2143.7983
29	2220.3625	18/5
30	2296.9268	49/13
31	2373.4910	63/16
32	2450.0552
33	2526.6194
34	2603.1837	9/2
35	2679.7479	80/17
36	2756.3121
37	2832.8763
38	2909.4406
39	2986.0048
40	3062.5690
41	3139.1332
42	3215.6975
43	3292.2617
44	3368.8259	exact 7/1	harmonic seventh plus two octaves

Harmonics

Approximation of harmonics in 44ed7

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+25.0	+12.2	-26.5	-30.0	+37.2	+0.0	-1.5	+24.3	-5.0	-16.8	-14.4
	Relative (%)	+32.7	+15.9	-34.6	-39.2	+48.6	+0.0	-1.9	+31.7	-6.5	-22.0	-18.8
Steps (reduced)		16 (16)	25 (25)	31 (31)	36 (36)	41 (41)	44 (0)	47 (3)	50 (6)	52 (8)	54 (10)	56 (12)

Approximation of harmonics in 44ed7

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+0.2	+25.0	-17.9	+23.5	-4.8	-27.2	+32.3	+20.1	+12.2	+8.2	+7.8
	Relative (%)	+0.3	+32.7	-23.3	+30.8	-6.3	-35.6	+42.2	+26.2	+15.9	+10.7	+10.2
Steps (reduced)		58 (14)	60 (16)	61 (17)	63 (19)	64 (20)	65 (21)	67 (23)	68 (24)	69 (25)	70 (26)	71 (27)

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