1575/1573: Difference between revisions

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+'''1575/1573''', the '''nicola''', is an [[unnoticeable comma|unnoticeable]] no-2's [[13-limit]] [[comma]] measuring about 2.20 [[cent]]s. It separates a stack of two instances of [[15/11]] from [[13/7]].
-The '''nicola''', with a ratio of '''1575/1573''', is a no-2's [[13-limit]] [[unnoticeable comma]] that separates a stack of two instances of [[15/11]] from [[13/7]].  Tempering it out leads to '''nicolic temperament''' and [[nicolic chords]].
+== Commatic relations ==
+This comma is the difference between the following [[superparticular]] commas:
+* [[105/104]] and [[121/120]]
+* [[144/143]] and [[176/175]]
+* [[243/242]] and [[351/350]]
+* [[364/363]] and [[676/675]]
+* [[441/440]] and [[1001/1000]]
+* [[540/539]] and [[1716/1715]]
+* [[729/728]] and [[9801/9800]]
-== See also ==
+== Temperaments ==
-* [[Unnoticeable comma]]
+[[Tempering out]] this comma in the full 13-limit leads to the rank-5 '''nicolic''' temperament, or in the 3.5.7.11.13 subgroup, the rank-4 '''nicolan''' temperament, in either case enabling [[nicolic chords]].
 [[Category:Nicolic]]
 [[Category:Commas with unknown etymology]]