44ed6

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44ed6

45ed6 →

Prime factorization	22 × 11
Step size	70.499¢
Octave	17\44ed6 (1198.48¢) (semiconvergent)
Twelfth	27\44ed6 (1903.47¢) (semiconvergent)
Consistency limit	4
Distinct consistency limit	4

44ed6 divides the perfect nineteenth (6:1 ratio) into 44 equal tones of 70.499 cents each. It is closely related to 17edo and 27edt, and like them is an excellent no-fives tuning in the 13 odd limit. It also has good matches for the 23rd and 25th harmonics. Like 27edt, its octaves are slightly flat, albeit less so. The octave of 44ed6 is 1198.48 cents: about a cent and a half flat. The third harmonic (tritave) is sharp by the same amount, while the 7th, 11th, and 13th harmonics are all sharp by 15, 8, and 0.9 cents, respectively.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	70.5	23/22, 24/23, 27/26
2	141	13/12
3	211.5	17/15, 26/23
4	282	20/17, 27/23
5	352.5	11/9, 27/22
6	423	14/11, 23/18
7	493.5	4/3
8	564	18/13, 29/21
9	634.5	13/9, 23/16
10	705	3/2
11	775.5
12	846	13/8, 31/19
13	916.5	17/10, 22/13
14	987	23/13, 30/17
15	1057.5	24/13
16	1128	23/12
17	1198.5	2/1
18	1269	27/13
19	1339.5	13/6
20	1410	9/4
21	1480.5
22	1551	22/9, 27/11
23	1621.5	23/9, 28/11
24	1692	8/3
25	1762.5
26	1833	23/8, 26/9
27	1903.5	3/1
28	1974
29	2044.5	13/4
30	2115	17/5
31	2185.5
32	2256
33	2326.5	23/6
34	2397	4/1
35	2467.5
36	2538	13/3
37	2608.5	9/2
38	2679
39	2749.5
40	2820
41	2890.5
42	2961
43	3031.5	23/4
44	3102	6/1

Harmonics

Approximation of harmonics in 44ed6

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	-1.5	+1.5	-3.0	+33.6	+0.0	+15.1	-4.6	+3.0	+32.1	+8.1	-1.5
	Relative (%)	-2.2	+2.2	-4.3	+47.7	+0.0	+21.5	-6.5	+4.3	+45.6	+11.5	-2.2
Steps (reduced)		17 (17)	27 (27)	34 (34)	40 (40)	44 (0)	48 (4)	51 (7)	54 (10)	57 (13)	59 (15)	61 (17)

Approximation of harmonics in 44ed6

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	+0.9	+13.6	+35.2	-6.1	+30.0	+1.5	-21.6	+30.6	+16.6	+6.6	+0.1
	Relative (%)	+1.3	+19.3	+49.9	-8.6	+42.5	+2.2	-30.6	+43.4	+23.6	+9.4	+0.2
Steps (reduced)		63 (19)	65 (21)	67 (23)	68 (24)	70 (26)	71 (27)	72 (28)	74 (30)	75 (31)	76 (32)	77 (33)