# Unisquarisma

(Redirected from 12005/11979)
 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 $\text{m3}^{5,7,7,7,7}_{11,11,11}$ 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, $\sqrt{nd}$) ~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.