1573/1568: Difference between revisions

Cmloegcmluin (talk | contribs)
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
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{{Infobox Interval
{{Infobox Interval
| Name = lambeth comma
| Name = lambeth comma
| Color name = 3o1oorr-2, thobiloru negative 2nd
| Comma = yes
| Comma = yes
}}
}}
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== Temperaments ==
== 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]].  
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>
[{{val| 1 0 0 0 0 5 }}, <br>
{| class="right-all"
{{val| 0 1 0 0 0 0 }}, <br>
|-
{{val| 0 0 1 0 0 0 }}, <br>
| [⟨ || 1 || 0 || 0 || 0 || 0 || 5 || ],
{{val| 0 0 0 1 0 2 }}, <br>
|-
{{val| 0 0 0 0 1 -2 }}]
| ⟨ || 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
: mapping generators: ~2, ~3, ~5, ~7, ~11


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.9550, ~5/4 = 386.3137, ~7/4 = 969.7592, ~11/8 = 549.9007, ~13/8 = 839.7169
[[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 }}
{{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 }}
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[[Category:Lambeth]]
[[Category:Lambeth]]
[[Category:Commas named after place names]]