Pontigailimma: Difference between revisions

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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 a [[13-limit]] ([[2.3.5.7.13 subgroup]]) [[unnoticeable comma]] with a ratio of '''1990656/1990625''' (0.027{{cent}}).~~ It appears as the difference between several ~~common~~ comma pairs: ~~the schismina [[4096/4095]] and the ragisma [[4375/4374]], the kleisma~~ [[15625/15552]] and ~~the huntma~~ [[640/637]]~~, the leprechaun comma [[4225/4224]] and the jacobin comma [[6656/6655]], the marveltwin comma~~ [[325/324]] and ~~the porwell comma~~ [[6144/6125]]~~, and the squbema~~ [[729/728]] and ~~the horwell comma~~ [[65625/65536]]. 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 [[trillium]] 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 also appears as the difference between several non-superparticular comma pairs:

* [[15625/15552]] and [[640/637]]

* [[325/324]] and [[6144/6125]]

* [[729/728]] and [[65625/65536]]

~~== See also ==~~

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]].

* [[~~Unnoticeable comma~~]]

* [[~~Pontiac~~]]

* [[~~Abigail~~]]

* [[~~Ennealimmal~~]]

* [[~~:Category:13-limit intervals~~|~~13-limit intervals~~]]

* [[~~Catasma~~]]

* [[~~Schismina~~]]

* [[~~Ennealimma~~]]

[[~~Category:Commas named for their regular temperament properties~~]] [[Category:Commas named ~~systematically~~]]

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]]

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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 a [[13-limit]] ([[2.3.5.7.13 subgroup]]) [[unnoticeable comma]] with a ratio of '''1990656/1990625''' (0.027{{cent}}). It appears as the difference between several common comma pairs: the schismina [[4096/4095]] and the ragisma [[4375/4374]], the kleisma [[15625/15552]] and the huntma [[640/637]], the leprechaun comma [[4225/4224]] and the jacobin comma [[6656/6655]], the marveltwin comma [[325/324]] and the porwell comma [[6144/6125]], and the squbema [[729/728]] and the horwell comma [[65625/65536]]. 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 [[trillium]] 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 also appears as the difference between several non-superparticular comma pairs:
+* [[15625/15552]] and [[640/637]]
+* [[325/324]] and [[6144/6125]]
+* [[729/728]] and [[65625/65536]]
-== See also ==
+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]].
-* [[Unnoticeable comma]]
-* [[Pontiac]]
-* [[Abigail]]
-* [[Ennealimmal]]
-* [[:Category:13-limit intervals|13-limit intervals]]
-* [[Catasma]]
-* [[Schismina]]
-* [[Ennealimma]]
-[[Category:Commas named for their regular temperament properties]] [[Category:Commas named systematically]]
+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]]