1573/1568: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 1573/1568
| Monzo = -5 0 0 -2 2 1
| Cents = 5.51173
| Name = lambeth comma
| Name = lambeth comma
| Color name =
| Comma = yes
| FJS name =
| Sound =  
}}
}}
'''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]].  
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* [[Small comma]]
* [[Small comma]]


[[Category:13-limit]]
[[Category:Small commas]]
[[Category:Lambeth]]
[[Category:Lambeth]]

Revision as of 12:51, 25 October 2022

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.

The name comes from the place where Flora Canou dwelled when she named the comma in January 2022.

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

See also