Laka: Difference between revisions

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~~#redirect~~ [[Hemifamity family #Laka]]

'''Laka''' is the [[Rank-3 temperament|rank-3]] [[temperament]] [[tempering out]] [[540/539]] and [[5120/5103]], with the canonical [[extension]] to the [[13-limit]] tempering out [[352/351]], [[640/637]], [[729/728]] and [[847/845]]. The [[lattice]] structure is very comparable to that of [[pele]], but it is more complex as many of the simple divisive ratios are further away from the origin.

[[Gene Ward Smith]] considered laka to be a [[17-limit]] temperament, assigning †442/441 (41g & 53 & 58) as the main extension. It should be noted that 41 & 53g & 58 also makes for a possible extension. It makes the most sense as a 2.3.5.7.11.13.19 [[subgroup]] temperament, omitting [[harmonic]] [[17/1|17]], as [[19/1|19]] is easily available in a 24-tone scale, shown in the lattice below.

See [[Hemifamity family #Laka]] for technical details.

== Interval lattice ==

File:Lattice Laka.png|13-limit laka

File:Lattice Laka19.png|2.3.5.7.11.13.19 subgroup laka

</gallery>

== Chords ==

Laka enables [[essentially tempered chord]]s of [[swetismic chords|swetismic]] in the [[11-odd-limit]], in addition to [[major minthmic chords|major minthmic]], [[huntmic chords|huntmic]], [[squbemic chords|squbemic]] and [[cuthbert chords|cuthbert]] in the [[13-odd-limit]].

== Scales ==

* [[Dekany laka]] – a transversal scale

[[Category:Temperaments]]

[[Category:Hemifamity family]]

[[Category:Swetismic temperaments]]

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-#redirect [[Hemifamity family #Laka]]
+'''Laka''' is the [[Rank-3 temperament|rank-3]] [[temperament]] [[tempering out]] [[540/539]] and [[5120/5103]], with the canonical [[extension]] to the [[13-limit]] tempering out [[352/351]], [[640/637]], [[729/728]] and [[847/845]]. The [[lattice]] structure is very comparable to that of [[pele]], but it is more complex as many of the simple divisive ratios are further away from the origin.
+[[Gene Ward Smith]] considered laka to be a [[17-limit]] temperament, assigning †442/441 (41g & 53 & 58) as the main extension. It should be noted that 41 & 53g & 58 also makes for a possible extension. It makes the most sense as a 2.3.5.7.11.13.19 [[subgroup]] temperament, omitting [[harmonic]] [[17/1|17]], as [[19/1|19]] is easily available in a 24-tone scale, shown in the lattice below.
+See [[Hemifamity family #Laka]] for technical details.
+== Interval lattice ==
+<gallery>
+File:Lattice Laka.png|13-limit laka
+File:Lattice Laka19.png|2.3.5.7.11.13.19 subgroup laka
+</gallery>
+== Chords ==
+Laka enables [[essentially tempered chord]]s of [[swetismic chords|swetismic]] in the [[11-odd-limit]], in addition to [[major minthmic chords|major minthmic]], [[huntmic chords|huntmic]], [[squbemic chords|squbemic]] and [[cuthbert chords|cuthbert]] in the [[13-odd-limit]].
+== Scales ==
+* [[Dekany laka]] – a transversal scale
 [[Category:Temperaments]]
 [[Category:Hemifamity family]]
 [[Category:Swetismic temperaments]]