13/7: Difference between revisions

Interval information
Ratio	13/7
Factorization	7-1 × 13
Monzo	[0 0 0 -1 0 1⟩
Size in cents	1071.702¢
Name	tridecimal submajor seventh
Color name	3or7, thoru 7th
FJS name	[math]\displaystyle{ \text{m7}^{13}_{7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	6.50779
Weil norm (log2 max(n, d))	7.40088
Wilson norm (sopfr(nd))	20
	https://en.xen.wiki/w/File:Jid_13_7_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

Latest revision as of 13:09, 3 November 2025

13/7, the tridecimal submajor seventh, is the ratio between the 7th and 13th harmonics; a somewhat flat major seventh.

Edo approximations for 13/7 (1071.70 ¢)
*≤ 80edo, relative error ≤ 10%*
Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
9	8\9	1066.67	-5.04	-3.78
10	9\10	1080.00	+8.30	+6.92
18	16\18	1066.67	-5.04	-7.55
19	17\19	1073.68	+1.98	+3.14
28	25\28	1071.43	-0.27	-0.64
37	33\37	1070.27	-1.43	-4.41
38	34\38	1073.68	+1.98	+6.28
46	41\46	1069.57	-2.14	-8.19
47	42\47	1072.34	+0.64	+2.50
56	50\56	1071.43	-0.27	-1.27
57	51\57	1073.68	+1.98	+9.42
65	58\65	1070.77	-0.93	-5.05
66	59\66	1072.73	+1.03	+5.64
74	66\74	1070.27	-1.43	-8.83
75	67\75	1072.00	+0.30	+1.86

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 13/7
-| Monzo = 0 0 0 -1 0 1
-| Cents = 1071.70176
 | Name = tridecimal submajor seventh
 | Color name = 3or7, thoru 7th
-| FJS name = m7<sup>13</sup><sub>7</sub>
 | Sound = jid_13_7_pluck_adu_dr220.mp3
 }}
 '''13/7''', the '''tridecimal submajor seventh''', is the ratio between the 7th and 13th [[harmonic]]s; a somewhat flat major seventh.
+== Approximation ==
+{{Interval edo approximation|13/7}}
 == See also ==
@@ Line 15: / Line 13: @@
 * [[Gallery of just intervals]]
-[[Category:13-limit]]
-[[Category:Interval ratio]]
+{{stub}}
 [[Category:Seventh]]
 [[Category:Submajor seventh]]
 [[Category:Neutral seventh]]
-[[Category:Over-7]]
+[[Category:Over-7 intervals]]
-[[Category:Pages with internal sound examples]]
+[[Category:Taxicab-2 intervals]]
-{{Todo| improve synopsis | expand }}
+{{Todo| improve synopsis }}