Unisquarisma

12005/11979, the unisquarisma or unisquare 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.

Interval information

Ratio	12005/11979
Factorization	3-2 × 5 × 74 × 11-3
Monzo	[0 -2 1 4 -3⟩
Size in cents	3.753511¢
Names	unisquarisma, unisquare comma
Color name	1u3z4y3, trilu-aquadzo-ayo 3rd
FJS name	[math]\displaystyle{ \text{m3}^{5,7,7,7,7}_{11,11,11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	27.0996
Weil norm (log2 max(n, d))	27.1027
Wilson norm (sopfr(nd))	72
Comma size	small
Open this interval in xen-calc

Temperaments

Tempering out this comma in the 11-limit results in the rank-4 unisquare temperament.

Unisquare

Subgroup: 2.3.5.7.11

Comma list: 12005/11979

Mapping:

[⟨	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 unisquare and unisquarisma were introduced by Xenllium in 2024. Unisquare is a contraction of unidec and square root of phi (sqrtphi) into a single word.

See also

• Small comma