23/21: Difference between revisions

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'''23/21''', the '''large vicesimotertial neutral second''' is a [[23-limit]] interval. It is mediant of two undecimal neutral seconds, [[11/10]] and [[12/11]]. Two of them fall short of [[6/5]] by [[2646/2645]].
'''23/21''', the '''large vicesimotertial neutral second''' is a [[23-limit]] interval. It is mediant of two undecimal neutral seconds, [[11/10]] and [[12/11]]. Two of them fall short of [[6/5]] by [[2646/2645]].
 
== Approximation ==
{{Interval_Edo_Approximation | 23/21}}
== See also ==
== See also ==
* [[42/23]] – its [[octave complement]]
* [[42/23]] – its [[octave complement]]

Revision as of 06:50, 3 November 2025

Interval information
Ratio 23/21
Subgroup monzo 3.7.23 [-1 -1 1
Size in cents 157.4934¢
Name large vicesimotertial neutral second
Color name 23or2, twethoru 2nd
FJS name [math]\displaystyle{ \text{A1}^{23}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.91588
Weil norm (log2 max(n, d)) 9.04712
Wilson norm (sopfr(nd)) 33

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23/21, the large vicesimotertial neutral second is a 23-limit interval. It is mediant of two undecimal neutral seconds, 11/10 and 12/11. Two of them fall short of 6/5 by 2646/2645.

Approximation

Edo approximations for 23/21 (157.49 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
7 1\7 171.43 +13.94 +8.13
8 1\8 150.00 -7.49 -5.00
15 2\15 160.00 +2.51 +3.13
16 2\16 150.00 -7.49 -9.99
23 3\23 156.52 -0.97 -1.86
30 4\30 160.00 +2.51 +6.27
31 4\31 154.84 -2.65 -6.86
38 5\38 157.89 +0.40 +1.27
45 6\45 160.00 +2.51 +9.40
46 6\46 156.52 -0.97 -3.72
53 7\53 158.49 +1.00 +4.40
54 7\54 155.56 -1.94 -8.72
61 8\61 157.38 -0.12 -0.59
68 9\68 158.82 +1.33 +7.54
69 9\69 156.52 -0.97 -5.59
76 10\76 157.89 +0.40 +2.54

See also