Nonary comma

Interval information

Ratio	7247757312/7061881225
Factorization	228 × 33 × 5-2 × 7-10
Monzo	[28 3 -2 -10⟩
Size in cents	44.97851¢
Name	nonary comma
FJS name	[math]\text{dd}{-4}_{5,5,7,7,7,7,7,7,7,7,7,7}[/math]
Special properties	reduced
Tenney height (log2 nd)	65.4723
Weil height (log2 max(n, d))	65.5098
Wilson height (sopfr(nd))	145
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.50383 bits
Comma size	medium
open this interval in xen-calc

The nonary comma is a medium-sized 7-limit comma which is the difference between 27/25 raised by eight octaves and ten 7/4s, as 2⁸(27/25)/(7/4)¹⁰ = 7247757312/7061881225. Tempering it out leads to the nonary family of temperaments.

Fitzgerald Lee named this comma “nonary” as the temperament is generated by a 9/8.