22/1

Interval information

Ratio	22/1
Factorization	2 × 11
Monzo	[1 0 0 0 1⟩
Size in cents	5351.3179¢
Name	22nd harmonic
FJS name	[math]\text{P32}^{11}[/math]
Special properties	harmonic
Tenney height (log2 nd)	4.45943
Weil height (log2 max(n, d))	8.91886
Wilson height (sopfr(nd))	13
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~2.28116 bits
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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

• 11/8 – its octave-reduced form