23/13: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>FREEZE
No edit summary
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"
 
(8 intermediate revisions by 6 users not shown)
Line 1: Line 1:
'''23/13'''
{{Infobox Interval
|0 0 0 0 0 -1 0 0 1>
| Name = vicesimotertial minor seventh
| Color name = 23o3u7, twethothu 7th
| Sound = jid_23_13_pluck_adu_dr220.mp3
}}


987.7467 cents
'''23/13''', the '''vicesimotertial minor seventh''', is a [[23-limit]] interval.
== Approximation ==
{{Interval edo approximation|23/13}}


[[File:jid_23_13_pluck_adu_dr220.mp3]] [[:File:jid_23_13_pluck_adu_dr220.mp3|sound sample]]     [[Category:todo:expand]]
== See also ==
* [[26/23]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[23-odd-limit]]
 
 
{{stub}}
 
[[Category:Seventh]]
[[Category:Minor seventh]]
[[Category:Taxicab-2 intervals]]

Latest revision as of 13:12, 3 November 2025

Interval information
Ratio 23/13
Subgroup monzo 13.23 [-1 1
Size in cents 987.7467¢
Name vicesimotertial minor seventh
Color name 23o3u7, twethothu 7th
FJS name [math]\displaystyle{ \text{A6}^{23}_{13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.224
Weil norm (log2 max(n, d)) 9.04712
Wilson norm (sopfr(nd)) 36

[sound info]
Open this interval in xen-calc

23/13, the vicesimotertial minor seventh, is a 23-limit interval.

Approximation

Edo approximations for 23/13 (987.75 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
6 5\6 1000.00 +12.25 +6.13
11 9\11 981.82 -5.93 -5.43
17 14\17 988.24 +0.49 +0.69
23 19\23 991.30 +3.56 +6.82
28 23\28 985.71 -2.03 -4.74
34 28\34 988.24 +0.49 +1.38
40 33\40 990.00 +2.25 +7.51
45 37\45 986.67 -1.08 -4.05
51 42\51 988.24 +0.49 +2.08
56 46\56 985.71 -2.03 -9.48
57 47\57 989.47 +1.73 +8.20
62 51\62 987.10 -0.65 -3.36
68 56\68 988.24 +0.49 +2.77
73 60\73 986.30 -1.45 -8.79
74 61\74 989.19 +1.44 +8.90
79 65\79 987.34 -0.40 -2.67

See also


This page is a stub. You can help the Xenharmonic Wiki by expanding it.