22/7

Interval information

Ratio	22/7
Factorization	2 × 7-1 × 11
Monzo	[1 0 0 -1 1⟩
Size in cents	1982.492¢
Names	undecimal minor thirteenth, first pi approximant
Color name	c1or5, Coloru 5th
FJS name	[math]\displaystyle{ \text{P12}^{11}_{7} }[/math]
Tenney norm (log2 nd)	7.26679
Weil norm (log2 max(n, d))	8.91886
Wilson norm (sopfr(nd))	20
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22/7 is a 11-limit interval one octave above 11/7.

Approximation to π

It is the first non trivial convergent to the continued fraction of acoustic π. The next in the series is 333/106, a much more complex 53-limit interval. The difference between π and 22/7 is of only 0.697 cents.