Sycamore comma
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| 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{nd}[/math]) |
~4.51666 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].