Lumatone mapping for 42edo: Difference between revisions

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A pseudo-isomorphic pseudo-diatonic mapping for [[42edo]] that duplicates note 0 (as note 18) enables diatonic playing while keeping octaves level — it is the [[43edo]] diatonic layout, but with only 42 unique notes per octave. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/watch?v=cL6CY3U9mHM ''42edo groove''] (2025).

== Whitewood + Qeema/Tritikleismic ==

Since [[42edo]] is a multiple of [[7edo]], and not far beyond the last diatonic-incapable tuning [[35edo]], [[whitewood]] is still a legitimate mapping for it; since the 5th harmonic is also close to maximally far from just, this suggests [[qeema]]/[[tritikleismic]] temperament, using the 42bc [[val]] (42bcd if using the 7-limit), for which the generator is a near-just classic minor third ~[[6/5]] (with the very large errors in the 3rd and 5th harmonics canceling each other almost perfectly); this generator corresponds to one key right (which itself is the very flatly approximated major second ~[[9/8]]) plus one key down-right. Use of this generator plus some extra down-right key movements as needed gives rise to the scale [[2L 6s]]. [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/shorts/B90JT_SxSSE ''<nowiki>A Hunger Awakes - 42edo [short]</nowiki>''] (2026), although with different placement of MIDI note 0. The range is about 4¾ octaves, which slant up with the rows (as normal for whitewood mappings).

== Lemba ==

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 A pseudo-isomorphic pseudo-diatonic mapping for [[42edo]] that duplicates note 0 (as note 18) enables diatonic playing while keeping octaves level &mdash; it is the [[43edo]] diatonic layout, but with only 42 unique notes per octave. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/watch?v=cL6CY3U9mHM ''42edo groove''] (2025).
 {{Lumatone EDO mapping|n=43|start=41|xstep=7|ystep=-3}}
+== Whitewood + Qeema/Tritikleismic ==
+Since [[42edo]] is a multiple of [[7edo]], and not far beyond the last diatonic-incapable tuning [[35edo]], [[whitewood]] is still a legitimate mapping for it; since the 5th harmonic is also close to maximally far from just, this suggests [[qeema]]/[[tritikleismic]] temperament, using the 42bc [[val]] (42bcd if using the 7-limit), for which the generator is a near-just classic minor third ~[[6/5]] (with the very large errors in the 3rd and 5th harmonics canceling each other almost perfectly); this generator corresponds to one key right (which itself is the very flatly approximated major second ~[[9/8]]) plus one key down-right. Use of this generator plus some extra down-right key movements as needed gives rise to the scale [[2L&nbsp;6s]]. [[Bryan Deister]] has demonstrated this in [https://www.youtube.com/shorts/B90JT_SxSSE ''<nowiki>A Hunger Awakes - 42edo [short]</nowiki>''] (2026), although with different placement of MIDI note 0. The range is about 4¾ octaves, which slant up with the rows (as normal for whitewood mappings).
+{{Lumatone EDO mapping|n=42|start=34|xstep=6|ystep=-1}}
 == Lemba ==