33/1: Difference between revisions

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Created page with "{{Mathematical interest}}{{Infobox interval|Color name=quincolo unison, c^51o1|Name=33rd harmonic}} '''33/1''', the 33rd harmonic, is the harmonic after 32/1 and before 34/1. It is equal to the 11th harmonic (11/1) stacked three times, and the undecimal quartertone (33/32) plus five octaves."
 
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{{Mathematical interest}}{{Infobox interval|Color name=quincolo unison, c^51o1|Name=33rd harmonic}}
{{Mathematical interest}}
 
{{Infobox interval
'''33/1''', the 33rd harmonic, is the harmonic after [[32/1]] and before [[34/1]]. It is equal to the 11th harmonic ([[11/1]]) stacked three times, and the undecimal quartertone ([[33/32]]) plus five octaves.
| Name = 33rd harmonic
| Color name = quincolo unison, c^51o1
}}
'''33/1''', the 33rd harmonic, is the [[harmonic]] after [[32/1]] and before [[34/1]]. It is equal to a stack consisting of a [[3/1|3rd harmonic]] and an [[11/1|11th harmonic]], or the undecimal quartertone ([[33/32]]) plus five [[octave]]s.

Latest revision as of 02:34, 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 33/1
Factorization 3 × 11
Monzo [0 1 0 0 1
Size in cents 6053.273¢
Name 33rd harmonic
Color name quincolo unison, c^51o1
FJS name [math]\displaystyle{ \text{P36}^{11} }[/math]
Special properties harmonic
Tenney norm (log2 nd) 5.04439
Weil norm (log2 max(n, d)) 10.0888
Wilson norm (sopfr(nd)) 14
Open this interval in xen-calc

33/1, the 33rd harmonic, is the harmonic after 32/1 and before 34/1. It is equal to a stack consisting of a 3rd harmonic and an 11th harmonic, or the undecimal quartertone (33/32) plus five octaves.