22/7: Difference between revisions
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DesertFreeze (talk | contribs) m a 11 limit -> an 11 limit |
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{{Infobox Interval|Name=undecimal minor thirteenth, first pi approximant|Color name= c1or5, Coloru 5th|Sound=}}22/7 is | {{Infobox Interval|Name=undecimal minor thirteenth, first pi approximant|Color name= c1or5, Coloru 5th|Sound=}}22/7 is an [[11-limit]] interval one octave above [[11/7]]. | ||
== Approximation to π == | == Approximation to π == | ||
It is the first non trivial convergent to the continued fraction of [[Acoustic pi|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. | It is the first non trivial convergent to the continued fraction of [[Acoustic pi|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. | ||
Latest revision as of 00:55, 4 August 2026
| Interval information |
first pi approximant
22/7 is an 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.