Pontigailimma: Difference between revisions
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The '''pontigailimma''' is | 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 common comma pairs: the schismina [[4096/4095]] and the ragisma [[4375/4374]], the kleisma [[15625/15552]] and the huntma [[640/637]], 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 [[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]]. | ||
[[Category:Commas named for their regular temperament properties]] | |||
[[Category:Commas named systematically]] | |||
[[Category:Commas named for their regular temperament properties]] [[Category:Commas named systematically]] | |||
Latest revision as of 15:22, 16 March 2025
| Interval information |
55⋅72⋅13 atom
The pontigailimma is an unnoticeable 13-limit (2.3.5.7.13 subgroup) comma with a ratio of 1990656/1990625 (0.027 ¢). 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 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 6/5s. It is tempered out in hemikleismic, vulture, pontiac, abigail, ennealimmal, and alphatrillium temperaments, as well as by 46, 50, 53, 68, 103, 121, 171, 217, 224, 270, 441, 494, 643, 814, 935, 3125, 3395, 6079, 8539, 11664, and 16808edo.