19/14

Revision as of 18:55, 1 November 2025 by Eufalesio (talk | contribs) (added information about euler approximants)

19/14, the hendrix fourth, is 19-limit interval that is a hendrix comma (57/56) sharp of the just perfect fourth (4/3). It an octave higher, 19/7, is a convergent in the continued fraction to Euler's number.

Interval information
Ratio 19/14
Factorization 2-1 × 7-1 × 19
Monzo [-1 0 0 -1 0 0 0 1
Size in cents 528.6871¢
Name hendrix fourth
Color name 19or4, noru 4th
FJS name [math]\displaystyle{ \text{P4}^{19}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.05528
Weil norm (log2 max(n, d)) 8.49586
Wilson norm (sopfr(nd)) 28

[sound info]
Open this interval in xen-calc

See also


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