4225/4224: Difference between revisions

Temperaments: formatting
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{{Infobox Interval
{{Infobox Interval
| Name = leprechaun comma
| Name = leprechaun comma
| Color name = 3oo1uyy1, thotholuyoyo unison
| Comma = yes
| Comma = yes
}}
}}
'''4225/4224''', the '''leprechaun comma''', is an unnoticeable [[13-limit]] [[superparticular]] interval. This comma is the difference between the following pairs:  
'''4225/4224''', the '''leprechaun comma''', is an [[unnoticeable comma|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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== Temperaments ==
== Temperaments ==
Tempering out this comma in the full 13-limit leads to the rank-5 '''leprechaun temperament'''. It is also tempered out in lower-rank temperaments including [[abigail]], [[newt]], [[decoid]], [[donar]], etc. Tempering it out also splits the [[33/32]] Alpharabian quarter-tone in two, each part corresponding to 65/64 and 66/65. You may find a list of good equal temperaments that support this temperament below.  
[[Tempering out]] this comma in the full 13-limit leads to the rank-5 '''leprechaun temperament'''. It is also tempered out in lower-rank temperaments including [[abigail]], [[newt]], [[decoid]], [[donar]], etc. Tempering it out also splits the [[33/32]] Alpharabian quarter-tone in two, each part corresponding to 65/64 and 66/65. You may find a list of good equal temperaments that support this temperament below.  


[[Subgroup]]: 2.3.5.7.11.13
[[Subgroup]]: 2.3.5.7.11.13
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== Etymology ==
== 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>.  
This comma was named by [[Margo Schulter]] in 2012 as a tribute to [[George Secor]]’s 2002 short story ''A Bit O' Blarney''<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]]


== Notes ==
== Notes ==


[[Category:Leprechaun]]
[[Category:Leprechaun]]
[[Category:Commas named after mythology or literature]]