19/13: Difference between revisions

Interval information
Ratio	19/13
Subgroup monzo	13.19 [-1 1⟩
Size in cents	656.9854¢
Name	undevicesimal subfifth
Color name	19o3u5, nothu 5th
FJS name	[math]\displaystyle{ \text{P5}^{19}_{13} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	7.94837
Weil norm (log2 max(n, d))	8.49586
Wilson norm (sopfr(nd))	32
	https://en.xen.wiki/w/File:Jid_19_13_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, 19/13 is the undevicesimal subfifth. This subfifth differs from 3/2 by 39/38 (~45 ¢).

Edo approximations for 19/13 (656.99 ¢)
*≤ 80edo, relative error ≤ 10%*
Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
2	1\2	600.00	-56.99	-9.50
9	5\9	666.67	+9.68	+7.26
11	6\11	654.55	-2.44	-2.24
20	11\20	660.00	+3.01	+5.02
22	12\22	654.55	-2.44	-4.47
31	17\31	658.06	+1.08	+2.79
33	18\33	654.55	-2.44	-6.71
42	23\42	657.14	+0.16	+0.55
44	24\44	654.55	-2.44	-8.95
51	28\51	658.82	+1.84	+7.81
53	29\53	656.60	-0.38	-1.69
62	34\62	658.06	+1.08	+5.58
64	35\64	656.25	-0.74	-3.92
73	40\73	657.53	+0.55	+3.34
75	41\75	656.00	-0.99	-6.16

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@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 19/13
+| Name = undevicesimal subfifth
-| Monzo = 0 0 0 0 0 -1 0 1
-| Cents = 656.98535
-| Name =
 | Color name = 19o3u5, nothu 5th
-| FJS name = P5<sup>19</sup><sub>13</sub>
 | Sound = jid_19_13_pluck_adu_dr220.mp3
 }}
-'''19/13''' is a [[19-limit]] interval.
+In [[19-limit]] [[just intonation]], '''19/13''' is the '''undevicesimal subfifth'''. This [[subfifth]] differs from [[3/2]] by [[39/38]] (~45 [[cent|¢]]).
-[[Category:19-limit]]
+== Approximation ==
-[[Category:Pages with internal sound examples]]
+{{Interval edo approximation|19/13}}
+{{stub}}
-[[Category:todo:expand]]
+[[Category:Fifth]]
+[[Category:Subfifth]]
+[[Category:Taxicab-2 intervals]]