125/121
Ratio | 125/121 |
Factorization | 5^{3} × 11^{-2} |
Monzo | [0 0 3 0 -2⟩ |
Size in cents | 56.305257¢ |
Name | jug comma |
Color name | lulutriyo unison, 1uuy^{3}1, lulutriyo comma |
FJS name | [math]\text{AA1}^{5,5,5}_{11,11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 13.8846 |
Weil height (log_{2} max(n, d)) | 13.9316 |
Wilson height (sopfr (nd)) | 37 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.41992 bits |
Comma size | medium |
S-expression | S9 * S10^{2} |
open this interval in xen-calc |
125/121, the jug comma is a 11-limit (also 5.11 subgroup) medium comma of about 56.3 cents. It is the difference between 5/4 and a stack of 2 11/10s or 25/22s.
Etymology
The name for this comma was coined in 2024 by CompactStar, based on the name of juggernaut temperament.
Temperaments
Tempering out this comma in the full 11-limit results in the rank-4 jug temperament. Tempering out this comma in the 2.5.11 subgroup results in the rank-2 jugular temperament, generated by a meantone-like major second of 11/10~25/22, and in the no-twos-or-threes 5.7.11 subgroup it results in the nonoctave rank-2 juggernaut temperament, with a period that is the square root of 5 (representing 11/5~25/11) and a generator of ~7/5. 125/121 is also tempered out in 11-limit flattone, which can be viewed as a weak extension of jugular temperament slicing the generator into 2 fifths.