36/1: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
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."
 
Correction & improve linking
 
Line 1: Line 1:
{{Mathematical interest}}{{Infobox interval|Name=36th harmonic}}
{{Mathematical interest}}
 
{{Infobox interval
'''36/1''', the 36th harmonic, is the harmonic occuring after [[35/1]] and before [[37/1]]. It is equal to a [[9/8|pyth major second]] plus five octaves (9/8 * 2^5), or alternatively the [[6/1|6th harmonic]] stacked six times (6*6). It is a [[Highly composite number|highly composite]] harmonic, meaning it has dozens of possible makeups.
| Name = 36th harmonic
}}
'''36/1''', the 36th harmonic, is the [[harmonic]] after [[35/1]] and before [[37/1]]. It is equal to a [[9/8|Pythagorean major second]] plus five [[octave]]s (9/8 × 2<sup>5</sup>), or alternatively the [[6/1|6th harmonic]] stacked twice (6<sup>2</sup>). It is a [[highly composite harmonic]], meaning it has dozens of possible makeups.

Latest revision as of 02:42, 3 August 2026

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 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

36/1, the 36th harmonic, is the harmonic after 35/1 and before 37/1. It is equal to a Pythagorean major second plus five octaves (9/8 × 25), or alternatively the 6th harmonic stacked twice (62). It is a highly composite harmonic, meaning it has dozens of possible makeups.