Quectisma

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

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 height (log2 nd)	1112.64
Weil height (log2 max(n, d))	1112.64
Wilson height (sopfr(nd))	2166
Comma size	unnoticeable
Open this interval in xen-calc

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.

See also

• Very high accuracy temperaments #Quectismic