Elysia: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 117649/117612 | Name = elysia | Color name = TBD | Comma = yes }} The '''elysia''' (monzo: {{monzo| -2 -5 0 6 -2 }}, ratio: 117649/117612)..."
 
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The '''elysia''' ([[monzo]]: {{monzo| -2 -5 0 6 -2 }}, [[ratio]]: 117649/117612) is an [[11-limit]] (also 2.3.7.11 [[subgroup]]) [[unnoticeable 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]]) [[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 ==
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== Etymology ==
== 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.
 
== See also ==
* [[Unnoticeable comma]]

Revision as of 05:07, 10 July 2024

Interval information
Ratio 117649/117612
Factorization 2-2 × 3-5 × 76 × 11-2
Monzo [-2 -5 0 6 -2
Size in cents 0.5445498¢
Name elysia
Color name TBD
FJS name [math]\displaystyle{ \text{dd4}^{7,7,7,7,7,7}_{11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 33.6878
Weil norm (log2 max(n, d)) 33.6883
Wilson norm (sopfr(nd)) 83
Comma size unnoticeable
S-expression S97⋅S982
Open this interval in xen-calc

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

Alongside the olympia (131072/130977) and 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.

Etymology

The elysia was named by Lériendil in 2024, on the pattern of the olympia, after Elysium Mons on Mars.