Elysia: Difference between revisions
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The '''elysia''' ([[monzo]]: {{monzo| -2 -5 0 6 -2 }}, [[ratio]]: 117649/117612) is an [[unnoticeable comma|unnoticeable]] [[11-limit]] (also 2.3.7.11 | The '''elysia''' ([[monzo]]: {{monzo| -2 -5 0 6 -2 }}, [[ratio]]: 117649/117612) is an [[unnoticeable comma|unnoticeable]] [[11-limit]] (also [[2.3.7.11 subgroup|2.3.7.11-subgroup]]) [[comma]] measuring about 0.545 [[cent]]s. It is the difference between [[49/48]] and two intervals of [[99/98]], and between the [[breedsma]] (2401/2400) and [[kalisma]] (9801/9800). | ||
== Temperaments == | == Temperaments == | ||
Alongside the [[olympia]] (131072/130977) and [[ | [[Tempering out]] this comma in the full 11-limit results in the rank-4 '''elysic''' temperament (→ [[Catalog of rank-4 temperaments #Elysic (117649/117612)]]), or in the 2.3.7.11 subgroup, the rank-3 '''elysian''' temperament. Alongside the [[olympia]] (131072/130977) and [[argyria]] (41503/41472), this comma is tempered out in the representation of 2.3.7.11 by [[135edo]]. Any microtemperament including this comma can incorporate the prime 5 by tempering out 2401/2400 and 9801/9800. | ||
== Etymology == | == Etymology == | ||
The elysia was named by [[Lériendil]] in 2024, on the pattern of the | The elysia was named by [[Lériendil]] in 2024, on the pattern of the olympia, after Elysium Mons on Mars. | ||
[[Category:Elysic]] | |||
[[Category:Commas named after place names]] | [[Category:Commas named after place names]] | ||
Latest revision as of 05:09, 5 June 2026
| Interval information |
The elysia (monzo: [-2 -5 0 6 -2⟩, ratio: 117649/117612) is an unnoticeable 11-limit (also 2.3.7.11-subgroup) comma measuring about 0.545 cents. It is the difference between 49/48 and two intervals of 99/98, and between the breedsma (2401/2400) and kalisma (9801/9800).
Temperaments
Tempering out this comma in the full 11-limit results in the rank-4 elysic temperament (→ Catalog of rank-4 temperaments #Elysic (117649/117612)), or in the 2.3.7.11 subgroup, the rank-3 elysian temperament. Alongside the olympia (131072/130977) and argyria (41503/41472), this comma is tempered out in the representation of 2.3.7.11 by 135edo. Any microtemperament including this comma can incorporate the prime 5 by tempering out 2401/2400 and 9801/9800.
Etymology
The elysia was named by Lériendil in 2024, on the pattern of the olympia, after Elysium Mons on Mars.