2432/2431
Jump to navigation
Jump to search
Ratio
2432/2431
Factorization
27 × 11-1 × 13-1 × 17-1 × 19
Monzo
[7 0 0 0 -1 -1 -1 1⟩
Size in cents
0.7120025¢
Name
Blumeyer comma
Color name
19o17u3u1u1,
nosuthulu 1sn,
Nosuthulu comma
FJS name
[math]\text{A1}^{19}_{11,13,17}[/math]
Special properties
superparticular,
reduced
Tenney height (log2 nd)
22.4953
Weil height (log2 max(n, d))
22.4959
Wilson height (sopfr(nd))
74
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.20456 bits
Comma size
unnoticeable
open this interval in xen-calc
| Interval information |
nosuthulu 1sn,
Nosuthulu comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
2432/2431, the Blumeyer comma, is a 19-limit superparticular comma of about 0.71 cents. It is the amount by which a stack of 17/16 and 22/19 falls short of 16/13.
Etymology
In 2011, Douglas Blumeyer named the Blumeyer comma after himself.[1] There is no connection between his name and properties of the comma; he was simply in his early days working with microtonality, at Xenharmonic Praxis Summer Camp of that year, and excited to discover this magical-seeming interval featuring exactly one each of the teen primes, then further excited to find no record of anyone else interested in it. So he impulsively threw his name out at it, and used it extensively in his compositions in the following years.
Listening
See Yer#Listening.