Sycamore comma

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 height (log2 nd)	51.051
Weil height (log2 max(n, d))	51.0824
Wilson height (sopfr(nd))	105
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.51666 bits
Comma size	medium
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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.

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