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 [[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).

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 ==

Alongside the [[olympia]] (131072/130977) and [[~~41503/41472|~~argyria]] (41503/41472), this comma is tempered 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.

[[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.

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]]

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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 [[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).
+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 ==
-Alongside the [[olympia]] (131072/130977) and [[41503/41472|argyria]] (41503/41472), this comma is tempered 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.
+[[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.
+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]]