Lumatone mapping for 37edo: Difference between revisions

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== Gariberttet ==

If you want to maximise your range, the [[Subgroup temperaments#Gariberttet|Gariberttet]] mapping is probably the clearest arrangement that gives access to the full gamut.

If you want to maximise your range, the [[Subgroup temperaments#Gariberttet|Gariberttet]] mapping is probably the clearest arrangement that gives access to the full gamut (apart from some notes chopped off at the left and right edges in the first and last octaves), and while more range is possible than the 6⅓ octaves found here, with this mapping at least the octaves have only a gentle upwards slope.

== Llywelynsmic clan + Semaphore + Gariberttet + Oceanfront/Ultrapyth ==

A [[2L 3s]] mapping for [[37edo]] with an 8:7 step ratio opens easy access to several temperaments. The generator for the [[llywelynsmic clan]] is 7\37 (one key down-right), which functions as a slightly flat septimal whole tone ~[[8/7]], as well as (a sharp and inconsistently mapped Pythagorean whole tone ~[[9/8]] (assuming use of the [[patent val]] for 37edo). Temperaments in this clan include [[Llywelynsmic_clan#Llywelyn_a.k.a._shoe|shoe]], [[Porwell_temperaments#Semaja|semaja]], and [[Syntonic–diatonic_equivalence_continuum#Laconic|laconic]]/[[Gamelismic_clan#Gorgo|gorgo]]. The generator for [[Semaphoresmic_clan#Semaphore|semaphore]] is 8\37 (one key right), which functions as a flat septimal minor third ~[[7/6]], a very sharp tridecimal semifourth ~[[15/13]], and a somewhat sharp undevicesimal semifourth ~[[22/19]]. The generator for [[gariberttet]] is 9\37 (one key right plus one key up); it functions as a near-just tridecimal minor third (~[[13/11]]). The generator for [[The_Biosphere#Oceanfront|oceanfront]] and [[Archytas_clan#Ultrapyth|ultrapyth]] is 15\37 (one key right plus one key down-right); it functions as a very flat fourth ~[[4/3]]. The range is 7¾ octaves, but the octaves slope down enough to incur a vertical wraparound, and while the middle octaves have no missed notes and only a few repeated notes, the first and last octaves have several notes chopped off by the upper left and lower right corners, respectively. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/TEzitpGJvt0 ''37edo''] (2023), although with the range limited by MIDI channel mapping.

@@ Line 18: / Line 18: @@
 == Gariberttet ==
-If you want to maximise your range, the [[Subgroup temperaments#Gariberttet|Gariberttet]] mapping is probably the clearest arrangement that gives access to the full gamut.
+If you want to maximise your range, the [[Subgroup temperaments#Gariberttet|Gariberttet]] mapping is probably the clearest arrangement that gives access to the full gamut (apart from some notes chopped off at the left and right edges in the first and last octaves), and while more range is possible than the 6⅓ octaves found here, with this mapping at least the octaves have only a gentle upwards slope.
 {{Lumatone EDO mapping|n=37|start=21|xstep=9|ystep=-8}}
+== Llywelynsmic clan + Semaphore + Gariberttet + Oceanfront/Ultrapyth ==
+A [[2L&nbsp;3s]] mapping for [[37edo]] with an 8:7 step ratio opens easy access to several temperaments. The generator for the [[llywelynsmic clan]] is 7\37 (one key down-right), which functions as a slightly flat septimal whole tone ~[[8/7]], as well as (a sharp and inconsistently mapped Pythagorean whole tone ~[[9/8]] (assuming use of the [[patent val]] for 37edo). Temperaments in this clan include [[Llywelynsmic_clan#Llywelyn_a.k.a._shoe|shoe]], [[Porwell_temperaments#Semaja|semaja]], and [[Syntonic–diatonic_equivalence_continuum#Laconic|laconic]]/[[Gamelismic_clan#Gorgo|gorgo]]. The generator for [[Semaphoresmic_clan#Semaphore|semaphore]] is 8\37 (one key right), which functions as a flat septimal minor third ~[[7/6]], a very sharp tridecimal semifourth ~[[15/13]], and a somewhat sharp undevicesimal semifourth ~[[22/19]]. The generator for [[gariberttet]] is 9\37 (one key right plus one key up); it functions as a near-just tridecimal minor third (~[[13/11]]). The generator for [[The_Biosphere#Oceanfront|oceanfront]] and [[Archytas_clan#Ultrapyth|ultrapyth]] is 15\37 (one key right plus one key down-right); it functions as a very flat fourth ~[[4/3]]. The range is 7¾ octaves, but the octaves slope down enough to incur a vertical wraparound, and while the middle octaves have no missed notes and only a few repeated notes, the first and last octaves have several notes chopped off by the upper left and lower right corners, respectively. [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/TEzitpGJvt0 ''37edo''] (2023), although with the range limited by MIDI channel mapping.
+{{Lumatone EDO mapping|n=37|start=0|xstep=8|ystep=-1}}
 {{Navbox Lumatone}}