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 [[99/70]] and its [[octave complement]] [[140/99]]. | ||
In terms of superparticular commas, it is the difference between: | |||
* [[99/98]] and [[100/99]] | |||
* [[3025/3024]] and [[4375/4374]] | |||
It is also the difference between the following notable non-superparticular commas: | |||
* [[245/243]] and [[121/120]] | * [[245/243]] and [[121/120]] | ||
* [[245/242]] and [[81/80]] | * [[245/242]] and [[81/80]] | ||
It also factors into the two smallest 13-limit superparticular commas: 9801/9800 = ([[10648/10647]])([[123201/123200]]). | It also factors into the two smallest 13-limit superparticular commas: 9801/9800 = ([[10648/10647]])⋅([[123201/123200]]). | ||
== Temperaments == | == Temperaments == | ||