26/21: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Plumtree (talk | contribs)
m Normalising usage of Infobox Interval
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"
 
(One intermediate revision by one other user not shown)
Line 6: Line 6:


'''26/21''', the '''tridecimal submajor third''', approx. 370 [[cent]]s in size, has a very close approximation in [[13edo]]. Its inverse is the tridecimal supraminor sixth ([[21/13]]).
'''26/21''', the '''tridecimal submajor third''', approx. 370 [[cent]]s in size, has a very close approximation in [[13edo]]. Its inverse is the tridecimal supraminor sixth ([[21/13]]).
 
== Approximation ==
{{Interval edo approximation|26/21}}
== See also ==  
== See also ==  
* [[21/13]] – its [[octave complement]]
* [[21/13]] – its [[octave complement]]

Latest revision as of 13:12, 3 November 2025

Interval information
Ratio 26/21
Factorization 2 × 3-1 × 7-1 × 13
Monzo [1 -1 0 -1 0 1
Size in cents 369.7468¢
Name tridecimal submajor third
Color name thoru 3rd, 3or3
FJS name [math]\displaystyle{ \text{m3}^{13}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.09276
Weil norm (log2 max(n, d)) 9.40088
Wilson norm (sopfr(nd)) 25

[sound info]
Open this interval in xen-calc

26/21, the tridecimal submajor third, approx. 370 cents in size, has a very close approximation in 13edo. Its inverse is the tridecimal supraminor sixth (21/13).

Approximation

Edo approximations for 26/21 (369.75 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
3 1\3 400.00 +30.25 +7.56
10 3\10 360.00 -9.75 -8.12
13 4\13 369.23 -0.52 -0.56
16 5\16 375.00 +5.25 +7.00
23 7\23 365.22 -4.53 -8.68
26 8\26 369.23 -0.52 -1.12
29 9\29 372.41 +2.67 +6.45
36 11\36 366.67 -3.08 -9.24
39 12\39 369.23 -0.52 -1.68
42 13\42 371.43 +1.68 +5.89
49 15\49 367.35 -2.40 -9.80
52 16\52 369.23 -0.52 -2.24
55 17\55 370.91 +1.16 +5.33
65 20\65 369.23 -0.52 -2.79
68 21\68 370.59 +0.84 +4.77
78 24\78 369.23 -0.52 -3.35

See also