36/23: Difference between revisions

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Both FJS and HEJI agree this is a m6. Note the relationship to the pythagorean m3
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'''36/23''', the '''vicesimotertial minor sixth''', is a [[23-limit]] interval. It is flat of the [[128/81|Pythagorean minor sixth]] by a vicesimotertial formal comma, [[736/729]].  
'''36/23''', the '''vicesimotertial minor sixth''', is a [[23-limit]] interval. It is flat of the [[128/81|Pythagorean minor sixth]] by a vicesimotertial formal comma, [[736/729]].  
 
== Approximation ==
{{Interval_Edo_Approximation | 36/23}}
== See also ==
== See also ==
* [[23/18]] – its [[octave complement]]
* [[23/18]] – its [[octave complement]]

Revision as of 07:36, 3 November 2025

Interval information
Ratio 36/23
Subgroup monzo 2.3.23 [2 2 -1
Size in cents 775.6357¢
Name vicesimotertial minor sixth
Color name 23u5, twethu 5th
FJS name [math]\displaystyle{ \text{m6}_{23} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.69349
Weil norm (log2 max(n, d)) 10.3399
Wilson norm (sopfr(nd)) 33

[sound info]
Open this interval in xen-calc

36/23, the vicesimotertial minor sixth, is a 23-limit interval. It is flat of the Pythagorean minor sixth by a vicesimotertial formal comma, 736/729.

Approximation

Edo approximations for 36/23 (775.64 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
3 2\3 800.00 +24.36 +6.09
14 9\14 771.43 -4.21 -4.91
17 11\17 776.47 +0.83 +1.18
20 13\20 780.00 +4.36 +7.27
28 18\28 771.43 -4.21 -9.82
31 20\31 774.19 -1.44 -3.73
34 22\34 776.47 +0.83 +2.37
37 24\37 778.38 +2.74 +8.46
45 29\45 773.33 -2.30 -8.63
48 31\48 775.00 -0.64 -2.54
51 33\51 776.47 +0.83 +3.55
54 35\54 777.78 +2.14 +9.64
62 40\62 774.19 -1.44 -7.45
65 42\65 775.38 -0.25 -1.36
68 44\68 776.47 +0.83 +4.73
79 51\79 774.68 -0.95 -6.27

See also


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