Sycamore comma
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Ratio | 48828125/47775744 |
Factorization | 2^{-16} × 3^{-6} × 5^{11} |
Monzo | [-16 -6 11⟩ |
Size in cents | 37.720847¢ |
Name | sycamore comma |
Color name | Ly^{11}-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 (log_{2} nd) | 51.051 |
Weil height (log_{2} 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).
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]}.