Quectisma

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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.

The quectisma, [554 -351 1, is a 5-limit unnoticeable comma measuring about 0.108 cents in size. It is the tiny interval between a stack of 351 3/2's and 5/4, octave reduced. Edos with very accurate fifths such as 665edo temper out this comma.

Interval information
Factorization 2554 × 3-351 × 5
Monzo [554 -351 1
Size in cents 0.1084101¢
Name quectisma
FJS name [math]\displaystyle{ \text{49d34}^{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 1112.64
Weil norm (log2 max(n, d)) 1112.64
Wilson norm (sopfr(nd)) 2166
Comma size unnoticeable
Open this interval in xen-calc

See also