23/1: Difference between revisions

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Created page with "{{Infobox Interval | Name = 23rd harmonic }} '''23/1''', the '''23rd harmonic''', is the harmonic past 22/1 and before 24/1. It is about four octaves and six [..."
 
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{{Infobox Interval
{{Infobox Interval
| Name = 23rd harmonic
| Name = 23rd harmonic
| Color name = c<sup>4</sup>23o5, quadcotwetho 5th
}}
}}
'''23/1''', the '''23rd harmonic''', is the [[harmonic]] past [[22/1]] and before [[24/1]]. It is about four [[octave]]s and six [[semitone]]s in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about F#6 or Gb6. Think of a soprano and a bass at their extremes. It is however, the basis of [[23-limit]] harmony, as many 23-limit intervals are the difference between this and another harmonic.  
'''23/1''', the '''23rd harmonic''', is the [[harmonic]] past [[22/1]] and before [[24/1]]. It is about four [[2/1|octaves]] and six [[semitone (interval size measure)|semitones]] in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about F#6 or Gb6. Think of a soprano and a bass at their extremes. It is however, the basis of [[23-limit]] harmony, as many 23-limit intervals can be expressed as the difference between this and another harmonic.  


== See also ==
== See also ==
* [[23/16]] – its [[octave reduction|octave-reduced]] form
* [[23/16]] – its [[octave reduction|octave-reduced]] form

Latest revision as of 16:57, 26 February 2025

Interval information
Ratio 23/1
Subgroup monzo 23 [1
Size in cents 5428.274¢
Name 23rd harmonic
Color name c423o5, quadcotwetho 5th
FJS name [math]\displaystyle{ \text{A32}^{23} }[/math]
Special properties harmonic,
prime harmonic
Tenney height (log2 nd) 4.52356
Weil height (log2 max(n, d)) 9.04712
Wilson height (sopfr(nd)) 23
Open this interval in xen-calc

23/1, the 23rd harmonic, is the harmonic past 22/1 and before 24/1. It is about four octaves and six semitones in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about F#6 or Gb6. Think of a soprano and a bass at their extremes. It is however, the basis of 23-limit harmony, as many 23-limit intervals can be expressed as the difference between this and another harmonic.

See also