Sycamore comma

The sycamore comma (monzo: [-16 -6 11⟩, ratio: 48828125/47775744), measuring 37.72085 ¢, is the difference between the classic major third (5/4) and a stack of six classic chromatic semitones (25/24), that is, (25/24)⁶/(5/4). As it splits the perfect fifth into 11, and equates 5/4 to 6 of these steps, it is related to 11edf and therefore to Carlos Beta.

Interval information

Ratio	48828125/47775744
Factorization	2-16 × 3-6 × 511
Monzo	[-16 -6 11⟩
Size in cents	37.72085¢
Name	sycamore comma
Color name	Ly11-3, laleyo negative 3rd, Laleyo comma
FJS name	[math]\displaystyle{ \text{5d}{-3}^{5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	51.051
Weil norm (log2 max(n, d))	51.0824
Wilson norm (sopfr(nd))	105
Comma size	medium
Open this interval in xen-calc

Temperaments

This comma is tempered out by temperaments in the sycamore family.

Etymology

This comma seems to have been named by Paul Erlich in 2002.

See also

• Medium comma