20/1

Interval information

Ratio	20/1
Factorization	22 × 5
Monzo	[2 0 1⟩
Size in cents	5186.314¢
Name	20th harmonic
FJS name	[math]\displaystyle{ \text{M31}^{5} }[/math]
Special properties	harmonic
Tenney height (log2 nd)	4.32193
Weil height (log2 max(n, d))	8.64386
Wilson height (sopfr(nd))	9
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~2.21729 bits
Open this interval in xen-calc

20/1, the 20th harmonic, is the harmonic past 19/1 and before 21/1. It is about four octaves and four semitones in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about E6. Think of a soprano and a bass at their extremes. Like 12/1, it can be approached in various ways of stacking, such as 1–2–4–5–10–20.

See also

• 5/4 – its octave-reduced form