Lumatone mapping for 53edo: Difference between revisions

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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.

== 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).

== Buzzard ==

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 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&nbsp;1s]] scale with a 7:4 step ratio right and right-up with the small step stretched) and [[Porwell_temperaments#Semaja|semaja]] (rotated [[5L&nbsp;1s]] with a 10:3 step ratio down-right and down); a [[5L&nbsp;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 ==