9801/9800: Difference between revisions
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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. | 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 | It factors into the two smallest 13-limit superparticular commas: 9801/9800 = 10648/10647 × 123201/123200. | ||
== See also == | == See also == | ||
Revision as of 03:48, 18 November 2020
| Interval information |
Gauss' comma
reduced
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 the two smallest 13-limit superparticular commas: 9801/9800 = 10648/10647 × 123201/123200.