Unisquarisma
(Redirected from 12005/11979)
Jump to navigation
Jump to search
Ratio | 12005/11979 |
Factorization | 3^{-2} × 5 × 7^{4} × 11^{-3} |
Monzo | [0 -2 1 4 -3⟩ |
Size in cents | 3.7535109¢ |
Names | unisquarisma, unisquary comma |
Color name | 1u^{3}z^{4}y3, trilu-aquadzo-ayo 3rd |
FJS name | [math]\text{m3}^{5,7,7,7,7}_{11,11,11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 27.0996 |
Weil height (log_{2} max(n, d)) | 27.1027 |
Wilson height (sopfr (nd)) | 72 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.32961 bits |
Comma size | small |
open this interval in xen-calc |
12005/11979, the unisquarisma or unisquary comma is a no-twos 11-limit comma measuring about 3.75 cents. It is the amount by which a stack of three 11/7s and one 9/5 falls short of 7/1.
Temperaments
Tempering out this comma in the 11-limit results in the rank-4 unisquary temperament.
Unisquary
Subgroup: 2.3.5.7.11
Comma list: 12005/11979
[⟨ | 1 | 0 | 0 | 0 | 0 | ], |
⟨ | 0 | 1 | 0 | 2 | 2 | ], |
⟨ | 0 | 0 | 1 | -1 | -1 | ], |
⟨ | 0 | 0 | 0 | 3 | 4 | ]] |
- Mapping generators: ~2, ~3, ~5, ~11/7
Optimal tuning (TE): ~2 = 1＼1, ~3 = 1902.0307, ~5 = 2786.2325, ~11/7 = 783.5074
Supporting ETs: 12, 46, 58, 72, 118, 121, 130, 190, 202, 239, 248, 311
Etymology
The words unisquary and unisquarisma were introduced by Xenllium in 2024. Unisquary is a contraction of unidec, square root of phi (sqrtphi) and harry into a single word.