125/121
| Ratio | 125/121 |
| Factorization | 53 × 11-2 |
| Monzo | [0 0 3 0 -2⟩ |
| Size in cents | 56.305257¢ |
| Name | jug comma |
| Color name | lulutriyo unison, 1uuy31, lulutriyo comma |
| FJS name | [math]\text{AA1}^{5,5,5}_{11,11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 13.8846 |
| Weil height (log2 max(n, d)) | 13.9316 |
| Wilson height (sopfr (nd)) | 37 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.77152 bits |
| Comma size | medium |
| S-expression | S9 * S102 |
| 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-6 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.