576/575
Jump to navigation
Jump to search
Ratio
576/575
Subgroup monzo
2.3.5.23 [6 2 -2 -1⟩
Size in cents
3.0082267¢
Name
worcester comma
Color name
23ugg1,
twethugugu 1sn,
Twethugugu comma
FJS name
[math]\text{d2}_{5,5,23}[/math]
Special properties
square superparticular,
reduced
Tenney height (log2 nd)
18.3373
Weil height (log2 max(n, d))
18.3399
Wilson height (sopfr(nd))
51
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.28233 bits
Comma size
unnoticeable
S-expression
S24
open this interval in xen-calc
| Interval information |
twethugugu 1sn,
Twethugugu comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
576/575, the worcester comma, is a 23-limit superparticular comma of about 3 cents. It is the difference between two 6/5s and 23/16, as well as 24/23 and 25/24. By tempering it out is defined the worcester temperament, which enables the worcester chords.
Etymology
The name worcester was named by Kaiveran in 2023. The reasoning behind the name has unfortunately been forgotten.
Some speculative possibilities are that maybe it was named after the city of Worcester, England, or the city of Worcester, Massachusetts. Though it’s unclear how the comma relates to either of those places, so it’s possible it may have been named after something else entirely.