Sycamore comma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
TallKite (talk | contribs)
mNo edit summary
+naming
Line 5: Line 5:
| Comma = yes
| Comma = yes
}}
}}
The '''sycamore comma''', {{monzo| -16 -6 11 }} = '''48828125/47775744''', measuring 37.72085 cents, is the difference between the [[5/4|classic major third (5/4)]] and a stack of six [[25/24|classic chromatic semitones (25/24)]], that is, (25/24)<sup>6</sup>/(5/4).  
The '''sycamore comma''' ({{monzo|legend=1| -16 -6 11 }}, [[ratio]]: 48828125/47775744), measuring 37.72085{{cent}}, is the difference between the [[5/4|classic major third (5/4)]] and a stack of six [[25/24|classic chromatic semitones (25/24)]], that is, (25/24)<sup>6</sup>/(5/4).  


== Temperaments ==
== Temperaments ==
It is tempered out by the [[sycamore family]].  
This comma is tempered out by temperaments in the [[sycamore family]].
 
== Etymology ==
This comma seems to have been named by [[Paul Erlich]] in 2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5041.html Yahoo! Tuning Group | ''Paul's new names'']</ref>.


== See also ==
== See also ==
* [[Medium comma]]
* [[Medium comma]]
== Notes ==


[[Category:Sycamore]]
[[Category:Sycamore]]

Revision as of 07:16, 13 June 2023

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
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].

See also

Notes