Sycamore comma

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Interval information
Ratio 48828125/47775744
Factorization 2-16 × 3-6 × 511
Monzo [-16 -6 11
Size in cents 37.720847¢
Name sycamore comma
Color name Ly11-3, laleyo negative
3rd, Laleyo comma
FJS name [math]\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]\sqrt{n\cdot d}[/math])
~4.68025 bits
Comma size medium
open this interval in xen-calc

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).


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


This comma seems to have been named by Paul Erlich in 2002[1].

See also