Elysia
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| Ratio | 117649/117612 |
| Factorization | 2-2 × 3-5 × 76 × 11-2 |
| Monzo | [-2 -5 0 6 -2⟩ |
| Size in cents | 0.54454976¢ |
| Name | elysia |
| Color name | TBD |
| FJS name | [math]\text{dd4}^{7,7,7,7,7,7}_{11,11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 33.6878 |
| Weil height (log2 max(n, d)) | 33.6883 |
| Wilson height (sopfr (nd)) | 83 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.20098 bits |
| 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.