22/1: Difference between revisions

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'''22/1''', the '''22nd harmonic''', is the [[harmonic]] past [[21/1]] and before [[23/1]]. It is about four [[octave]]s and five [[semitone]]s and a half in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about Ft6. Think of a soprano and a bass at their extremes. However, it can be approached as a stack of 2/1 and 11/1, making chords like 1–2–22, 1–11–22, or 1–2–11–22.  
'''22/1''', the '''22nd harmonic''', is the [[harmonic]] past [[21/1]] and before [[23/1]]. It is about four [[2/1|octaves]] and five [[semitone (interval size measure)|semitones]] and a half in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about Ft6. Think of a soprano and a bass at their extremes. However, it can be approached as a stack of 2/1 and 11/1, making chords like 1–2–22, 1–11–22, or 1–2–11–22.  


== See also ==
== See also ==
* [[11/8]] – its [[octave reduction|octave-reduced]] form
* [[11/8]] – its [[octave reduction|octave-reduced]] form
[[Category:Taxicab-2 intervals]]

Latest revision as of 17:08, 26 February 2025

Interval information
Ratio 22/1
Factorization 2 × 11
Monzo [1 0 0 0 1
Size in cents 5351.318¢
Name 22nd harmonic
FJS name [math]\displaystyle{ \text{P32}^{11} }[/math]
Special properties harmonic
Tenney norm (log2 nd) 4.45943
Weil norm (log2 max(n, d)) 8.91886
Wilson norm (sopfr(nd)) 13
Open this interval in xen-calc

22/1, the 22nd harmonic, is the harmonic past 21/1 and before 23/1. It is about four octaves and five semitones and a half in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about Ft6. Think of a soprano and a bass at their extremes. However, it can be approached as a stack of 2/1 and 11/1, making chords like 1–2–22, 1–11–22, or 1–2–11–22.

See also