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 (→ Catalog of rank-4 temperaments #Unisquary (12005/11979)).
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.