19/7: Difference between revisions

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added euler number approximant information
 
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hendrix eleventh
hendrix eleventh
4th Euler's number approximant}}
4th Euler's number approximant}}
19/7 is a [[19-limit]] interval, an octave above [[19/14]]. It is a [[taxicab-2]] interval. It is a convergent in the continued fraction of Euler's number. The next best approximation is 87/32.
19/7 is a [[19-limit]] interval, an octave above [[19/14]]. It is a [[taxicab-2]] interval. It is also a convergent in the continued fraction of Euler's number. The next best approximation is [[87/32]].


[[Category:Taxicab-2 intervals]]
[[Category:Taxicab-2 intervals]]

Latest revision as of 18:54, 1 November 2025

Interval information
Ratio 19/7
Factorization 7-1 × 19
Monzo [0 0 0 -1 0 0 0 1
Size in cents 1728.687¢
Name hendrix eleventh

4th Euler's number approximant

FJS name [math]\displaystyle{ \text{P11}^{19}_{7} }[/math]
Tenney norm (log2 nd) 7.05528
Weil norm (log2 max(n, d)) 8.49586
Wilson norm (sopfr(nd)) 26
Open this interval in xen-calc

19/7 is a 19-limit interval, an octave above 19/14. It is a taxicab-2 interval. It is also a convergent in the continued fraction of Euler's number. The next best approximation is 87/32.