Lumatone mapping for 53edo: Difference between revisions

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== Diatonic ==
== Diatonic ==
This is "Preset 9 — 53-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 9 — 53-EDO Bosanquet" in version 1.21.
This is "Preset 9 — 53-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 9 — 53-EDO Bosanquet" in version 1.21. [[Cam Taylor]] has created a tour of intervals for this layout, in [https://www.youtube.com/watch?v=IdiMNP4MSx8&t=2s&pp=0gcJCbIJAYcqIYzv ''A meander around 53-equal on the Lumatone''] (2025).
{{Lumatone EDO mapping|n=53|start=2|xstep=9|ystep=-5}}
{{Lumatone EDO mapping|n=53|start=2|xstep=9|ystep=-5}}


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The expanded [[4L 7s]] mapping does cover the entire gamut, but puts octaves all over the place.
The expanded [[4L 7s]] mapping does cover the entire gamut, but puts octaves all over the place.
{{Lumatone EDO mapping|n=53|start=6|xstep=8|ystep=-5}}
{{Lumatone EDO mapping|n=53|start=6|xstep=8|ystep=-5}}
== Semaja ==
The [[Semaja]] mapping covers all the notes with no repeats and slightly greater range than the diatonic one, but 5-limit chords require a diagonal hand position and wrap around at the top.
{{Lumatone EDO mapping|n=53|start=5|xstep=10|ystep=-7}}
== Hemikleismic + Semaja ==
[[Bryan Deister]] has demonstrated a mapping for [[53edo]] in [https://www.youtube.com/shorts/WtSaDQCyfVc ''Waltz in 53edo''] (2026) that functions for [[Kleismic_family#Hemikleismic|hemikleismic]] ([[7L 1s]] scale with a 7:4 step ratio right and right-up with the small step stretched) and [[Porwell_temperaments#Semaja|semaja]] (rotated [[5L 1s]] with a 10:3 step ratio down-right and down); a [[5L 8s (4/1-equivalent)]] scale with a 10:7 step ratio is also available moving right and down-right. The range is a bit over 4⅓ octaves, with no missed notes and just one repeated note in each octave, but the upper left and lower right corners have many additional non-contiguous notes, and the octaves are not in consistent places; on the other hand, classic thirds both minor (two steps right) and major (one step right plus one step down-right) are in very easy reach as long as they do not pass through a vertical wraparound (it may be necessary to adjust note 0 position to avoid this for a particular performance, such as in the linked video which has note 0 where note 3 is here).
{{Lumatone EDO mapping|n=53|start=7|xstep=7|ystep=3}}


== Buzzard ==
== Buzzard ==
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{{Lumatone EDO mapping|n=53|start=8|xstep=10|ystep=-9}}
{{Lumatone EDO mapping|n=53|start=8|xstep=10|ystep=-9}}


== Other mappings ==
== Amity ==
As with the Hanson mappings, the [[Lumatone mapping for orwell|Orwell]] and [[Barbados]] mappings both give over six octaves of range, but the compressed [[1L 4s]] mappings miss many notes along the way. To cover the full gamut, Orwell needs to be expanded to [[4L 5s]] and Barbados to [[5L 4s]], which skews the octaves significantly downwards and reduces the range to just over four octaves.
The [[Lumatone mapping for amity]] mapping also puts 5-limit chords within very easy reach and provides a relatively even heptatonic scale.
 
{{Lumatone EDO mapping|n=53|start=47|xstep=8|ystep=-1}}
=== Orwell ===
==== Compressed ====
{{Lumatone EDO mapping|n=53|start=6|xstep=12|ystep=-7}}
 
==== Expanded ====
{{Lumatone EDO mapping|n=53|start=44|xstep=5|ystep=2}}
 
=== Semiquartal ===
==== Compressed ====
{{Lumatone EDO mapping|n=53|start=32|xstep=11|ystep=-2}}


==== Expanded ====
== See also ==
{{Lumatone EDO mapping|n=53|start=5|xstep=9|ystep=-7}}
Due to limitations of the Lumatone EDO mapping template, some Lumatone mappings for 53edo (currently for [[Orwell]] and [[semiquartal]] layout families) had to be moved to another page.
* [[Lumatone mapping for 53edo (part 2)]]


{{Navbox Lumatone}}
{{Navbox Lumatone}}