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]\displaystyle{ \text{AA1}^{5,5,5}_{11,11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	13.8846
Weil norm (log2 max(n, d))	13.9316
Wilson norm (sopfr(nd))	37
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 2.5.11 subgroup results in the jug 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 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, whose generator is in fact that of jug temperament sliced in two.

See also

• Medium comma