125/121: Difference between revisions

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'''125/121''', the '''jug comma''' is a [[11-limit]] (also 5.11 [[subgroup]]) [[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.


== Temperaments ==
== Temperaments ==

Revision as of 04:39, 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.

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 nonoctave 5.7.11 subgroup it results in the no-twos-or-threes juggernaut temperament, with a period that is the square root of 5 (11/5~25/11) and a generator of ~7/5.

See also