1573/1568: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = lambeth comma | | Name = lambeth comma | ||
| Color name = | | Color name = 3o1oorr-2, thobiloru negative 2nd | ||
| | | Comma = yes | ||
}} | }} | ||
'''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]]. | ||
== Temperaments == | == Temperaments == | ||
Tempering it out leads to a form of the '''lambeth temperament''', and enables [[lambeth chords]], the [[essentially tempered | Tempering it out leads to a form of the '''lambeth temperament''', and enables [[lambeth chords]], the [[essentially tempered chord]]s in the [[13-odd-limit]]. | ||
Subgroup: 2.3.5.7.11.13 | [[Subgroup]]: 2.3.5.7.11.13 | ||
[[Mapping]]: <br> | [[Mapping]]: <br> | ||
[ | {| class="right-all" | ||
|- | |||
| [⟨ || 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 | |||
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2, ~5/4, ~7/4 = 969.7592, ~11/8 = 549.9007, ~13/8 = 839.7169 | |||
{{Optimal ET sequence|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 == | ||
* [[Small comma]] | * [[Small comma]] | ||
[[Category:Lambeth]] | [[Category:Lambeth]] | ||
[[Category:Commas named after place names]] | |||
Latest revision as of 18:57, 28 July 2025
| Interval information |
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
| [⟨ | 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
Optimal tuning (CTE): ~2 = 1\1, ~3/2, ~5/4, ~7/4 = 969.7592, ~11/8 = 549.9007, ~13/8 = 839.7169
Optimal ET sequence: 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 London Borough of Lambeth, where she dwelled at the time.