125/121

Interval information

Ratio	125/121
Factorization	53 × 11-2
Monzo	[0 0 3 0 -2⟩
Size in cents	56.30526¢
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{nd}[/math])	~4.41992 bits
Comma size	medium
S-expression	S9 * S102
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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.

See also

• Medium comma