125/121: Difference between revisions

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'''125/121''', the '''jug comma''' is a [[11-limit]] (also 5.11 [[subgroup]]) [[medium comma]] of about 56.3 [[cent]]s. It is the difference between [[5/4]] and a stack of 2 [[11/10]]s or [[25/22]]s.
'''125/121''', the '''jug comma''' is a [[11-limit]] (also 5.11 [[subgroup]]) [[medium comma]] of about 56.3 [[cent]]s. It is the difference between [[5/4]] and a stack of 2 [[11/10]]s or [[25/22]]s.
== Etymology ==
The name for this comma was coined in 2024 by [[User:CompactStar|CompactStar]], based on the name of [[juggernaut]] temperament.


== Temperaments ==
== Temperaments ==

Revision as of 04:42, 7 February 2024

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
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 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.

See also