4225/4224: Difference between revisions

Expansion
+factorization; +etymology
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'''4225/4224''', the '''leprechaun comma''', is an unnoticeable [[13-limit]] [[superparticular]] interval. It is the difference between the following pairs:  
'''4225/4224''', the '''leprechaun comma''', is an unnoticeable [[13-limit]] [[superparticular]] interval. This comma is the difference between the following pairs:  
* [[65/64]] and [[66/65]]
* [[65/64]] and [[66/65]]
* [[169/168]] and [[176/175]]
* [[169/168]] and [[176/175]]
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* [[2080/2079]] and [[4096/4095]]
* [[2080/2079]] and [[4096/4095]]
* [[3025/3024]] and [[10648/10647]]
* [[3025/3024]] and [[10648/10647]]
It factors into [[4375/4374]] and [[123201/123200]].


== Temperaments ==
== Temperaments ==
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{{Val list|legend=1| 41, 46, 53, 80, 87, 103, 121, 130, 183, 190, 217, 224, 270, 494, 684, 764, 935, 954, 1178, 1308, 1448, 1578, 1889, 2756, 2843, 3337, 4421f, 4915f, 7758cff, 10514cdff }}
{{Val list|legend=1| 41, 46, 53, 80, 87, 103, 121, 130, 183, 190, 217, 224, 270, 494, 684, 764, 935, 954, 1178, 1308, 1448, 1578, 1889, 2756, 2843, 3337, 4421f, 4915f, 7758cff, 10514cdff }}
== Etymology ==
The leprechaun comma was named by [[Margo Schulter]] in 2012<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105598.html Yahoo! Tuning List | ''EDO alternatives, Leprechaun comma (4225/4224)'']</ref>.


== See also ==
== See also ==
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]
* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
== Notes ==


[[Category:Leprechaun]]
[[Category:Leprechaun]]