26/19: Difference between revisions

Interval information
Ratio	26/19
Subgroup monzo	2.13.19 [1 1 -1⟩
Size in cents	543.0146¢
Name	undevicesimal superfourth
Color name	19u3o4, nutho 4th
FJS name	[math]\displaystyle{ \text{P4}^{13}_{19} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.94837
Weil norm (log2 max(n, d))	9.40088
Wilson norm (sopfr(nd))	34
	https://en.xen.wiki/w/File:Jid_26_19_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

Latest revision as of 13:12, 3 November 2025

In 19-limit just intonation, 26/19 is the undevicesimal superfourth. This superfourth differs from 4/3 by 39/38 (~45 ¢).

Edo approximations for 26/19 (543.01 ¢)
*≤ 80edo, relative error ≤ 10%*
Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
2	1\2	600.00	+56.99	+9.50
9	4\9	533.33	-9.68	-7.26
11	5\11	545.45	+2.44	+2.24
20	9\20	540.00	-3.01	-5.02
22	10\22	545.45	+2.44	+4.47
31	14\31	541.94	-1.08	-2.79
33	15\33	545.45	+2.44	+6.71
42	19\42	542.86	-0.16	-0.55
44	20\44	545.45	+2.44	+8.95
51	23\51	541.18	-1.84	-7.81
53	24\53	543.40	+0.38	+1.69
62	28\62	541.94	-1.08	-5.58
64	29\64	543.75	+0.74	+3.92
73	33\73	542.47	-0.55	-3.34
75	34\75	544.00	+0.99	+6.16

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@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 26/19
-| Monzo = 1 0 0 0 0 1 0 -1
-| Cents = 543.01465
 | Name = undevicesimal superfourth
 | Color name = 19u3o4, nutho 4th
-| FJS name = P4<sup>13</sup><sub>19</sub>
 | Sound = jid_26_19_pluck_adu_dr220.mp3
 }}
@@ Line 11: / Line 7: @@
 In [[19-limit]] [[just intonation]], '''26/19''' is the '''undevicesimal superfourth'''. This [[superfourth]] differs from [[4/3]] by [[39/38]] (~45 [[cent|¢]]).
-[[Category:19-limit]]
+== Approximation ==
+{{Interval edo approximation|26/19}}
+{{stub}}
 [[Category:Fourth]]
 [[Category:Superfourth]]
-[[Category:Pages with internal sound examples]]
-[[Category:todo:expand]]