Pontigailimma: Difference between revisions
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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 | 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: | ||
* [[4096/4095]] and [[4375/4374]] | |||
* [[15625/15552]] and [[640/637]] | |||
* [[325/324]] and [[6144/6125]] | |||
* [[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]]. | |||
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 for their regular temperament properties]] | [[Category:Commas named for their regular temperament properties]] | ||
[[Category:Commas named systematically]] | [[Category:Commas named systematically]] | ||
Revision as of 13:53, 22 February 2026
| 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 comma pairs:
- 4096/4095 and 4375/4374
- 15625/15552 and 640/637
- 325/324 and 6144/6125
- 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 6/5s. 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.
Its name potentially comes from ponti [pontiac] + gai [abigail] + limma [from Greek λεῖμμα, the remnant]. Thus, it is the tiny remnant that is tempered out in pontiac and abigail.