34/1

Revision as of 02:33, 3 August 2026 by FloraC (talk | contribs) (Correction. + links to previous and next harmonics)
This page presents a topic of primarily mathematical interest.

While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

34/1, the 34th harmonic, is the harmonic after 33/1 and before 35/1. It is equal to a 17th harmonic plus an octave, or a large septendecimal semitone (17/16) plus five octaves.

Interval information
Ratio 34/1
Subgroup monzo 2.17 [1 1
Size in cents 6104.955¢
Name 34th harmonic
FJS name [math]\displaystyle{ \text{m37}^{17} }[/math]
Special properties harmonic
Tenney norm (log2 nd) 5.08746
Weil norm (log2 max(n, d)) 10.1749
Wilson norm (sopfr(nd)) 19
Open this interval in xen-calc