User:Hotcrystal0/Sandbox

Interval information

Factorization	2-17 × 360 × 7-12 × 13-12
Monzo	[-17 60 0 -12 0 -12⟩
Size in cents	5.057233¢
Name	N/A
FJS name	[math]\displaystyle{ \text{19d}{-12}_{7,7,7,7,7,7,7,7,7,7,7,7,13,13,13,13,13,13,13,13,13,13,13,13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	190.191
Weil norm (log2 max(n, d))	190.196
Wilson norm (sopfr(nd))	454
Comma size	small
Audio demonstration
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Interval information

Ratio	355/113
Subgroup monzo	5.71.113 [1 1 -1⟩
Size in cents	1981.796¢
Name	N/A
FJS name	[math]\displaystyle{ \text{A12}^{5,71}_{113} }[/math]
Tenney norm (log2 nd)	15.2919
Weil norm (log2 max(n, d))	16.9434
Wilson norm (sopfr(nd))	189
Audio demonstration
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Interval information

Ratio	2187/1250
Factorization	2-1 × 37 × 5-4
Monzo	[-1 7 -4⟩
Size in cents	968.4302¢
Name	N/A
FJS name	[math]\displaystyle{ \text{d7}_{5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	21.3824
Weil norm (log2 max(n, d))	22.1895
Wilson norm (sopfr(nd))	43
Audio demonstration
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Interval information

Ratio	442/295
Subgroup monzo	2.5.13.17.59 [1 -1 1 1 -1⟩
Size in cents	699.9977¢
Name	N/A
FJS name	[math]\displaystyle{ \text{dd6}^{13,17}_{5,59} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	16.9925
Weil norm (log2 max(n, d))	17.5758
Wilson norm (sopfr(nd))	96
Audio demonstration
Open this interval in xen-calc

someone tell me how to insert the infobox without having to add the categories
nevermind I figured it out

2187/1250

Edo approximations for Hotcrystal0/Sandbox (968.43 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
5	4\5	960.00	-8.43	-3.51
10	8\10	960.00	-8.43	-7.03
16	13\16	975.00	+6.57	+8.76
21	17\21	971.43	+3.00	+5.25
26	21\26	969.23	+0.80	+1.73
31	25\31	967.74	-0.69	-1.78
36	29\36	966.67	-1.76	-5.29
41	33\41	965.85	-2.58	-8.80
47	38\47	970.21	+1.78	+6.98
52	42\52	969.23	+0.80	+3.47
57	46\57	968.42	-0.01	-0.04
62	50\62	967.74	-0.69	-3.56
67	54\67	967.16	-1.27	-7.07
73	59\73	969.86	+1.43	+8.72
78	63\78	969.23	+0.80	+5.20

140/99

Edo approximations for Hotcrystal0/Sandbox (599.91 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
2	1\2	600.00	+0.09	+0.01
4	2\4	600.00	+0.09	+0.03
6	3\6	600.00	+0.09	+0.04
8	4\8	600.00	+0.09	+0.06
10	5\10	600.00	+0.09	+0.07
12	6\12	600.00	+0.09	+0.09
14	7\14	600.00	+0.09	+0.10
16	8\16	600.00	+0.09	+0.12
18	9\18	600.00	+0.09	+0.13
20	10\20	600.00	+0.09	+0.15
22	11\22	600.00	+0.09	+0.16
24	12\24	600.00	+0.09	+0.18
26	13\26	600.00	+0.09	+0.19
28	14\28	600.00	+0.09	+0.21
30	15\30	600.00	+0.09	+0.22
32	16\32	600.00	+0.09	+0.24
34	17\34	600.00	+0.09	+0.25
36	18\36	600.00	+0.09	+0.26
38	19\38	600.00	+0.09	+0.28
40	20\40	600.00	+0.09	+0.29
42	21\42	600.00	+0.09	+0.31
44	22\44	600.00	+0.09	+0.32
46	23\46	600.00	+0.09	+0.34
48	24\48	600.00	+0.09	+0.35
50	25\50	600.00	+0.09	+0.37
52	26\52	600.00	+0.09	+0.38
54	27\54	600.00	+0.09	+0.40
56	28\56	600.00	+0.09	+0.41
58	29\58	600.00	+0.09	+0.43
60	30\60	600.00	+0.09	+0.44
62	31\62	600.00	+0.09	+0.46
64	32\64	600.00	+0.09	+0.47
66	33\66	600.00	+0.09	+0.49
68	34\68	600.00	+0.09	+0.50
70	35\70	600.00	+0.09	+0.52
72	36\72	600.00	+0.09	+0.53
74	37\74	600.00	+0.09	+0.54
76	38\76	600.00	+0.09	+0.56
78	39\78	600.00	+0.09	+0.57
80	40\80	600.00	+0.09	+0.59

← 53ed9/4

55ed9/4

57ed9/4 →

Prime factorization	5 × 11
Step size	25.5256 ¢
Octave	47\55ed9/4 (1199.7 ¢) (convergent)
Twelfth	75\55ed9/4 (1914.42 ¢) (→ 15\11ed9/4)
Consistency limit	3
Distinct consistency limit	3

55 equal divisions of 9/4 (abbreviated 55ed9/4) is a nonoctave tuning system that divides the interval of 9/4 into 55 equal parts of about 25.5 ¢ each. Each step represents a frequency ratio of (9/4)^1/55, or the 55th root of 9/4.