35/1

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Revision as of 21:48, 2 August 2026 by DesertFreeze (talk | contribs) (Created page with "{{Mathematical interest}}{{Infobox interval|Name=35th harmonic}} '''35/1''', the 35th harmonic, is a harmonic that can be compounded in multiple ways: Seven pentaves (7*5), five septuples (5*7), or a septimal neutral second plus five octaves (35/32 * 2^5).")
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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.

Interval information
Ratio 35/1
Factorization 5 × 7
Monzo [0 0 1 1
Size in cents 6155.14¢
Name 35th harmonic
FJS name [math]\displaystyle{ \text{M37}^{5,7} }[/math]
Special properties harmonic
Tenney norm (log2 nd) 5.12928
Weil norm (log2 max(n, d)) 10.2586
Wilson norm (sopfr(nd)) 12
Open this interval in xen-calc

35/1, the 35th harmonic, is a harmonic that can be compounded in multiple ways:

Seven pentaves (7*5), five septuples (5*7), or a septimal neutral second plus five octaves (35/32 * 2^5).