9801/9800: Difference between revisions
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| Name = kalisma, <br>Gauss' comma | | Name = kalisma, <br>Gauss' comma | ||
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'''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]]. | '''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. | Tempering it out leads to [[kalismic temperaments]], which splits the [[octave]] into two equal parts, each representing 99/70~140/99. Odd edos cannot be tempering it out. | ||
It factors into two 13-limit superparticular commas which are also the smallest: 9801/9800 = 10648/10647 × 123201/123200. | |||
== See also == | == See also == | ||