Quectisma

This page presents a niche topic. While not arbitrary, it may contain ideas whose practical applications in music are unknown or narrow in scope. Niche 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.

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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.19992 bits
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