Pontigailimma: Difference between revisions

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Expanded and added a possible etymology
Re-organize. - last two commatic relations (not notable).
 
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The '''pontigailimma''' is an [[unnoticeable comma|unnoticeable]] [[13-limit]] (specifically [[2.3.5.7.13 subgroup|2.3.5.7.13-subgroup]]) [[comma]] with a [[ratio]] of '''1990656/1990625''' (0.027{{cent}}). It is the difference between two [[7/4]]'s and a stack of [[16/13]] above five [[6/5]]'s. Alternatively, it is the amount by which [[27/25]] exceeds a stack of [[25/24]], [[49/48]], and [[65/64]]. In terms of [[superparticular]] commas, it is the difference between [[4096/4095]] and [[4375/4374]].


The '''pontigailimma''' is an [[unnoticeable comma|unnoticeable]] [[13-limit]] ([[2.3.5.7.13 subgroup]]) [[comma]] with a [[ratio]] of '''1990656/1990625''' (0.027{{cent}}). It appears as the difference between several comma pairs:  
It also appears as the difference between several non-superparticular comma pairs:  
 
* [[4096/4095]] and [[4375/4374]]
* [[15625/15552]] and [[640/637]]
* [[15625/15552]] and [[640/637]]
* [[325/324]] and [[6144/6125]]
* [[325/324]] and [[6144/6125]]
* [[729/728]] and [[65625/65536]]
* [[729/728]] and [[65625/65536]]
* [[3125/3072]] and [[648/637]]
* [[Amity comma]] and [[4194304/4179357]]


Alternatively, it is the amount by which [[27/25]] exceeds a stack of [[25/24]], [[49/48]], and [[65/64]], or the difference between two [[7/4]]'s and a stack of [[16/13]] above five [[6/5]]s. It is tempered out in [[hemikleismic]], [[vulture]], [[pontiac]], [[abigail]], [[ennealimmal]], and [[alphatrillium]] temperaments, as well as by [[46edo|46]], [[50edo|50]], [[53edo|53]], [[68edo|68]], [[103edo|103]], [[121edo|121]], [[171edo|171]], [[217edo|217]], [[224edo|224]], [[270edo|270]], [[441edo|441]], [[494edo|494]], [[643edo|643]], [[814edo|814]], [[935edo|935]], [[3125edo|3125]], [[3395edo|3395]], [[6079edo|6079]], [[8539edo|8539]], [[11664edo|11664]], and [[16808edo]].
It is tempered out in [[hemikleismic]], [[vulture]], [[pontiac]], [[abigail]], [[ennealimmal]], and [[alphatrillium]] temperaments, as well as by [[46edo|46]], [[50edo|50]], [[53edo|53]], [[68edo|68]], [[103edo|103]], [[121edo|121]], [[171edo|171]], [[217edo|217]], [[224edo|224]], [[270edo|270]], [[441edo|441]], [[494edo|494]], [[643edo|643]], [[814edo|814]], [[935edo|935]], [[3125edo|3125]], [[3395edo|3395]], [[6079edo|6079]], [[8539edo|8539]], [[11664edo|11664]], and [[16808edo]].
 
Its name potentially comes from ponti ['''ponti'''ac] + gai [abi'''gai'''l] + limma [from Greek ''λεῖμμα,'' the remnant]. Thus, it is the tiny remnant that is tempered out in pontiac and abigail.  


Its name potentially comes from ponti ['''ponti'''ac] + gai [abi'''gai'''l] + limma [from Greek ''λεῖμμα,'' the remnant]. Thus, it is the tiny remnant that is tempered out in pontiac and abigail.
[[Category:Commas named by combining multiple temperament names]]
[[Category:Commas named for their regular temperament properties]]
[[Category:Commas named systematically]]