36/1

Revision as of 21:54, 2 August 2026 by DesertFreeze (talk | contribs) (Created page with "{{Mathematical interest}}{{Infobox interval|Name=36th harmonic}} '''36/1''', the 36th harmonic, is the harmonic occuring after 35/1 and before 37/1. It is equal to a pyth major second plus five octaves (9/8 * 2^5), or alternatively the 6th harmonic stacked six times (6*6). It is a highly composite harmonic, meaning it has dozens of possible makeups.")
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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.

36/1, the 36th harmonic, is the harmonic occuring after 35/1 and before 37/1. It is equal to a pyth major second plus five octaves (9/8 * 2^5), or alternatively the 6th harmonic stacked six times (6*6). It is a highly composite harmonic, meaning it has dozens of possible makeups.

Interval information
Ratio 36/1
Factorization 22 × 32
Monzo [2 2
Size in cents 6203.91¢
Name 36th harmonic
FJS name [math]\displaystyle{ \text{M37} }[/math]
Special properties harmonic,
highly composite harmonic
Tenney norm (log2 nd) 5.16993
Weil norm (log2 max(n, d)) 10.3399
Wilson norm (sopfr(nd)) 10
Open this interval in xen-calc