Sycamore comma
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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]\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{nd}[/math])
~4.51666 bits
Comma size
medium
open this interval in xen-calc
| Interval information |
3rd, Laleyo comma
(Shannon, [math]\sqrt{nd}[/math])
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[1].