1573/1568: Difference between revisions

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'''1573/1568''', the '''lambeth comma''', is a [[13-limit]] (or 2.7.11.13 subgroup) [[small comma]] measuring about 5.5 [[cent]]s. It is the amount by which a stack of two [[14/11]]'s falls short of [[13/8]].  
'''1573/1568''', the '''lambeth comma''', is a [[13-limit]] (or 2.7.11.13 subgroup) [[small comma]] measuring about 5.5 [[cent]]s. It is the amount by which a stack of two [[14/11]]'s falls short of [[13/8]].  
The name comes from the place where [[Flora Canou]] dwelled when she named the comma in January 2022.


== Temperaments ==
== Temperaments ==
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{{Val list|legend=1| 17c, 22f, 26, 29, 31, 43, 46, 60e, 63, 68, 72, 103, 111, 140, 183, 212, 243e, 315ef, 323, 395f, 426e, 638eef }}
{{Val list|legend=1| 17c, 22f, 26, 29, 31, 43, 46, 60e, 63, 68, 72, 103, 111, 140, 183, 212, 243e, 315ef, 323, 395f, 426e, 638eef }}
== Etymology ==
The lambeth comma was named by [[Flora Canou]] in January 2022, referring to the [[Wikipedia: London Borough of Lambeth|London Borough of Lambeth]], where she dwelled at the time.


== See also ==
== See also ==

Revision as of 08:41, 24 February 2023

Interval information
Ratio 1573/1568
Factorization 2-5 × 7-2 × 112 × 13
Monzo [-5 0 0 -2 2 1
Size in cents 5.511734¢
Name lambeth comma
FJS name [math]\displaystyle{ \text{M}{-2}^{11,11,13}_{7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 21.234
Weil norm (log2 max(n, d)) 21.2386
Wilson norm (sopfr(nd)) 59
Comma size small
Open this interval in xen-calc

1573/1568, the lambeth comma, is a 13-limit (or 2.7.11.13 subgroup) small comma measuring about 5.5 cents. It is the amount by which a stack of two 14/11's falls short of 13/8.

Temperaments

Tempering it out leads to a form of the lambeth temperament, and enables lambeth chords, the essentially tempered chords in the 13-odd-limit.

Subgroup: 2.3.5.7.11.13

Mapping:
[1 0 0 0 0 5],
0 1 0 0 0 0],
0 0 1 0 0 0],
0 0 0 1 0 2],
0 0 0 0 1 -2]]

Mapping generators: ~2, ~3, ~5, ~7, ~11

Template:Val list

Etymology

The lambeth comma was named by Flora Canou in January 2022, referring to the London Borough of Lambeth, where she dwelled at the time.

See also