9801/9800: Difference between revisions

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'''9801/9800''', the '''kalisma''', sometimes described as ''Gauss' comma'', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] measuring about 0.18{{cent}}. It is the smallest 11-limit [[superparticular]] interval.
'''9801/9800''', the '''kalisma''', sometimes described as ''Gauss' comma'', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] measuring about 0.18{{cent}}. 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]]. It is also the difference between [[245/243]] and [[121/120]], and between [[245/242]] and [[81/80]].
It can be described as the difference between: 


It factors into the two smallest 13-limit superparticular commas: 9801/9800 = ([[10648/10647]])([[123201/123200]]).
* [[99/98]] and [[100/99]]
* [[99/70]] and [[140/99]]
* [[245/243]] and [[121/120]]
* [[245/242]] and [[81/80]]
* [[125/121]] and [[405/392]]
* [[4375/4374]] and [[3025/3024]]
* [[250047/250000]] and [[151263/151250]]
 
It also factors into the two smallest 13-limit superparticular commas: 9801/9800 = ([[10648/10647]])([[123201/123200]]).


== Temperaments ==
== Temperaments ==