20/13: Difference between revisions

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'''20/13''', the '''tridecimal semitenth''', is a [[13-limit]] [[interseptimal]] interval measuring about 746 [[cent]]s.  
'''20/13''', the '''tridecimal semitenth''', is a [[13-limit]] [[interseptimal]] interval measuring about 746 [[cent]]s.  
 
== Approximation ==
{{Interval_Edo_Approximation | 20/13}}
== See also ==
== See also ==
* [[13/10]] – its [[octave complement]]
* [[13/10]] – its [[octave complement]]

Revision as of 07:34, 3 November 2025

Interval information
Ratio 20/13
Factorization 22 × 5 × 13-1
Monzo [2 0 1 0 0 -1
Size in cents 745.7861¢
Names Barbados sixth,
ratwolf wolf fifth,
tridecimal semitenth
Color name 3uy5, thuyo 5th
FJS name [math]\displaystyle{ \text{A5}^{5}_{13} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.02237
Weil norm (log2 max(n, d)) 8.64386
Wilson norm (sopfr(nd)) 22

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20/13, the tridecimal semitenth, is a 13-limit interseptimal interval measuring about 746 cents.

Approximation

Edo approximations for 20/13 (745.79 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
8 5\8 750.00 +4.21 +2.81
13 8\13 738.46 -7.32 -7.93
16 10\16 750.00 +4.21 +5.62
21 13\21 742.86 -2.93 -5.13
24 15\24 750.00 +4.21 +8.43
29 18\29 744.83 -0.96 -2.32
37 23\37 745.95 +0.16 +0.49
45 28\45 746.67 +0.88 +3.30
50 31\50 744.00 -1.79 -7.44
53 33\53 747.17 +1.38 +6.11
58 36\58 744.83 -0.96 -4.63
61 38\61 747.54 +1.75 +8.92
66 41\66 745.45 -0.33 -1.82
74 46\74 745.95 +0.16 +0.99
79 49\79 744.30 -1.48 -9.76

See also


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