Junebug comma

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 448630/447051
Factorization 2 × 3-1 × 5 × 7 × 11-1 × 13 × 17 × 19-1 × 23-1 × 29 × 31-1
Monzo [1 -1 1 1 -1 1 1 -1 -1 1 -1
Size in cents 6.1040067¢
Name junebug comma
Color name 31u29o23u19u17o3o1uzy2,
thiwutwenotwethunusotholuzoyo 2nd
FJS name [math]\text{dd3}^{5,7,13,17,29}_{11,19,23,31}[/math]
Special properties reduced
Tenney height (log2 nd) 37.5452
Weil height (log2 max(n, d)) 37.5503
Wilson height (sopfr(nd)) 160
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.54077 bits
Comma size small
open this interval in xen-calc

448630/447051, the junebug comma, is a 31-limit PIFE comma measuring about 6.1 cents. However, this comma is particularly special because it contains only one instance of each of its prime factors, meaning the elements of its monzo are only -1s and 1s, a property it shares with 715/714.

Tempering it out yields a 31-limit rank-10 temperament.

The name of this comma was proposed by Tristan Bay in 2023, after his sister's cat, Junebug.