51/41: Difference between revisions

Interval information
Ratio	51/41
Subgroup monzo	3.17.41 [1 1 -1⟩
Size in cents	377.848 ¢
Name(s)	missing ?
Color name	41u17o4, fowuso 4th
FJS name	[math]\displaystyle{ \text{d4}^{17}_{41} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	11.03
Weil norm (log2 max(n, d))	11.3449
Wilson norm (sopfr(nd))	61
	Open this interval in xen-calc

Latest revision as of 13:03, 3 November 2025

51/41 is a 41-limit interval and a type of major third. It is approximated well by 5 steps of 16edo.

Edo approximations for 51/41 (377.85 ¢)
*≤ 80edo, relative error ≤ 10%*
Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
3	1\3	400.00	+22.15	+5.54
13	4\13	369.23	-8.62	-9.34
16	5\16	375.00	-2.85	-3.80
19	6\19	378.95	+1.10	+1.74
22	7\22	381.82	+3.97	+7.28
32	10\32	375.00	-2.85	-7.59
35	11\35	377.14	-0.71	-2.06
38	12\38	378.95	+1.10	+3.48
41	13\41	380.49	+2.64	+9.02
51	16\51	376.47	-1.38	-5.85
54	17\54	377.78	-0.07	-0.32
57	18\57	378.95	+1.10	+5.22
67	21\67	376.12	-1.73	-9.65
70	22\70	377.14	-0.71	-4.11
73	23\73	378.08	+0.23	+1.42
76	24\76	378.95	+1.10	+6.96

@@ Line 2: / Line 2: @@
 | Color name = 41u17o4, fowuso 4th
 }}
-'''51/41''' is a [[41-limit]] interval and a type of [[major third]].
+'''51/41''' is a [[41-limit]] interval and a type of [[major third]]. It is approximated well by 5 steps of [[16edo]].
+== Approximation ==
-== History ==
+{{Interval edo approximation|51/41}}
-The editor who first added 51/41 to the [[gallery of just intervals]] in July 2016 labelled it as the "maja third"{{idiosyncratic}}.
-This name is not used by anyone else due to its potential for confusion with "major third" (the [[interval region]] which includes 51/41 as well as more common intervals like [[5/4]] and [[81/64]]) and the "[[maja]] temperament", a temperament which is unrelated to 51/41.