1573/1568: Difference between revisions

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 {{Infobox Interval
-| Ratio = 1573/1568
-| Monzo = -5 0 0 -2 2 1
-| Cents = 5.51173
 | Name = lambeth comma
-| Color name =
+| Color name = 3o1oorr-2, thobiloru negative 2nd
-| FJS name =
+| Comma = yes
-| 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]].
-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 chord]]s in the [[13-odd-limit]].
+[[Subgroup]]: 2.3.5.7.11.13
+[[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 || ]]
+|}
-== Temperaments ==
+: mapping generators: ~2, ~3, ~5, ~7, ~11
-Tempering it out leads to a form of the '''lambeth temperament''', and enables [[lambeth chords]], the [[essentially tempered chords]] in the [[13-odd-limit]].
+[[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 ==
 * [[Small comma]]
-[[Category:13-limit]]
-[[Category:Small comma]]
 [[Category:Lambeth]]
+[[Category:Commas named after place names]]