9801/9800

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Revision as of 09:14, 2 November 2020 by FloraC (talk | contribs) (Created page with "{{Infobox Interval | Icon = | Ratio = 9801/9800 | Monzo = -3 4 -2 -2 2 | Cents = 0.17665 | Name = kalisma, <br>Gauss' comma | Color name = | FJS name = | Sound = }} '''980...")
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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 difference between 99/70 and 140/99.

Tempering it out leads to kalismic temperaments, which splits the octave into two equal parts, each representing 99/70~140/99.

See also