2432/2431

Interval information

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

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. 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.

See also

• Unnoticeable comma
• List of superparticular intervals