Unisquarisma
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| Ratio | 12005/11979 |
| Factorization | 3-2 × 5 × 74 × 11-3 |
| Monzo | [0 -2 1 4 -3⟩ |
| Size in cents | 3.7535109¢ |
| Names | unisquarisma, unisquary comma |
| Color name | 1u3z4y3, trilu-aquadzo-ayo 3rd |
| FJS name | [math]\text{m3}^{5,7,7,7,7}_{11,11,11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 27.0996 |
| Weil height (log2 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.