Parakleisma: Difference between revisions

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|8 14 -13>, the parakleisma, is an interval of 5.292 cents which is the amount by which thirteen minor thirds exceed 32/3; in other words (6/5)^13/(32/3). Tempering it out leads to [[Ragismic_microtemperaments#Parakleismic|parakleismic temperament]].
{{Infobox Interval
| Monzo = 8 14 -13
| Name = parakleisma
| Color name = g<sup>13</sup>3, thegu 3rd
| Comma = yes
}}
The '''parakleisma''' ([[monzo]]: {{monzo| 8 14 -13 }}), is a [[small comma]] of 5.292 [[cent]]s which is the amount by which thirteen [[6/5|classical minor thirds]] exceed 32/3; in other words (6/5)<sup>13</sup>/(32/3). Tempering it out leads to the 5-limit [[parakleismic]] temperament.
 
== Etymology ==
This comma was named by [[Gene Ward Smith]] in 2001 in terms of the corresponding temperament, ''parakleismic'', for the temperament was similar to [[kleismic]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064.html Yahoo! Tuning Group | Kleismic & co]</ref>. ''Parakleisma'' was back-formed from ''parakleismic'' later<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group | ''5-limit comma names'']</ref>.
 
== Notes ==
 
[[Category:Parakleismic]]
[[Category:Commas named for their regular temperament properties]]