33698267/33554432

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Revision as of 01:40, 29 July 2026 by Zeta Function (talk | contribs) (Mark as a novelty topic due to the comma's complexity)
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This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

33698267/33554432, or the sylvisma[idiosyncratic term], is a small 19-limit comma of about 7.4c that is the difference between the stacking of 3 323/256 major thirds and 1 octave. It is notably tempered out in 12edo and arsenic temperament.

Interval information
Ratio 33698267/33554432
Subgroup monzo 2.17.19 [-25 3 3
Size in cents 7.405277¢
Name sylvisma
FJS name [math]\displaystyle{ \text{ddd3}^{17,17,17,19,19,19} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 50.0062
Weil norm (log2 max(n, d)) 50.0123
Wilson norm (sopfr(nd)) 158
Open this interval in xen-calc

Etymology

The name was coined by User:Zeta Function from the mineral sylvite, which is made of potassium chloride. Chloride is element 17, and potassium is element 19, so the name thus reflects in a roundabout way the prime factors that make up this comma.