23/16: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 23/16
| Name = octave-reduced 23rd harmonic, vicesimotertial wide tritone
| Monzo = -4 0 0 0 0 0 0 0 1
| Cents = 628.27435
| Name = octave-reduced 23rd harmonic
| Color name = 23o5, twetho 5th
| Color name = 23o5, twetho 5th
| FJS name = A4<sup>23</sup>
| Sound = jid_23_16_pluck_adu_dr220.mp3
| Sound = jid_23_16_pluck_adu_dr220.mp3
}}
}}


'''23/16''' is the [[Octave reduction|octave-reduced]] 23rd [[harmonic]]. It is very close to [[21edo]]'s 628.57143 cent interval.
'''23/16''' is the [[Octave reduction|octave-reduced]] 23rd [[harmonic]] and is often referred to as a '''vicesimotertial wide tritone'''. It is very close to [[21edo]]'s 628.57143 cent interval.
 
== Approximation ==
{{Interval edo approximation|23/16}}
== See also ==
== See also ==
* [[32/23]] – its [[octave complement]]
* [[32/23]] – its [[octave complement]]
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:23-limit]]
[[Category:Octave-reduced harmonics]]
[[Category:Pages with internal sound examples]]


{{todo|expand}}
{{stub}}

Latest revision as of 13:14, 3 November 2025

Interval information
Ratio 23/16
Subgroup monzo 2.23 [-4 1
Size in cents 628.2743¢
Names octave-reduced 23rd harmonic,
vicesimotertial wide tritone
Color name 23o5, twetho 5th
FJS name [math]\displaystyle{ \text{A4}^{23} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 8.52356
Weil norm (log2 max(n, d)) 9.04712
Wilson norm (sopfr(nd)) 31

[sound info]
Open this interval in xen-calc

23/16 is the octave-reduced 23rd harmonic and is often referred to as a vicesimotertial wide tritone. It is very close to 21edo's 628.57143 cent interval.

Approximation

Edo approximations for 23/16 (628.27 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
2 1\2 600.00 -28.27 -4.71
4 2\4 600.00 -28.27 -9.42
17 9\17 635.29 +7.02 +9.94
19 10\19 631.58 +3.30 +5.23
21 11\21 628.57 +0.30 +0.52
23 12\23 626.09 -2.19 -4.19
25 13\25 624.00 -4.27 -8.90
40 21\40 630.00 +1.73 +5.75
42 22\42 628.57 +0.30 +1.04
44 23\44 627.27 -1.00 -3.67
46 24\46 626.09 -2.19 -8.38
61 32\61 629.51 +1.23 +6.27
63 33\63 628.57 +0.30 +1.56
65 34\65 627.69 -0.58 -3.15
67 35\67 626.87 -1.41 -7.87

See also


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