9801/9800

Interval information

Ratio

9801/9800

Factorization

2^-3 × 3⁴ × 5^-2 × 7^-2 × 11²

Monzo

[-3 4 -2 -2 2⟩

Size in cents

0.1766475¢

Names

kalisma,
Gauss' comma

FJS name

[math]\displaystyle{ \text{M}{-2}^{11,11}_{5,5,7,7} }[/math]

Special properties

square superparticular,
reduced

Tenney height (log₂ nd)

26.5173

Weil height (log₂ max(n, d))

26.5174

Wilson height (sopfr(nd))

64

Open this interval in xen-calc

9801/9800, the kalisma or Gauss' comma, is an 11-limit unnoticeable comma measuring about 0.18 cents. It is the smallest 11-limit superparticular interval. It can be described as the difference between 99/98 and 100/99, and between 99/70 and its octave complement, 140/99.

Tempering it out leads to kalismic temperaments, which splits the octave into two equal parts, each representing 99/70~140/99. Odd edos cannot temper it out.

It factors into two 13-limit superparticular commas which are also very small: 9801/9800 = 10648/10647 × 123201/123200.

9801/9800

See also