Lumatone mapping for 37edo: Difference between revisions

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~~There are many conceivable ways to map [[37edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard~~ Lumatone mapping ~~for Pythagorean]].~~

== Diatonic ==

~~However, as~~ the perfect ~~5th~~ is ~~very~~ sharp, ~~neither~~ this or the ~~b val give easy access~~ to the ~~5th harmonic~~. If you want an arrangement that makes it easy to play the best note combinations together the [[~~porcupine~~]] mapping is considerably superior.

== Antidiatonic ==

Since the perfect fifth is so sharp, you lose little accuracy by using the flat fifth as a generator instead, which can be interpreted as near equalised [[mavila]], or more accurately but complexly as [[undecimation]].

== Diatonicized Chromaticism via Rotated Antidiatonic ==

[[Bryan Deister]] has demonstrated a rotated antidiatonic ([[2L 5s]]) mapping in [https://www.youtube.com/shorts/e7dLJTsS3PQ ''37edo''] (2025), using the Mavila (sub-)fifth (21\37) as a generator. This yields a range of over five octaves, although the note 0 positions alternate between middle and near/far. (In the demonstration video, active keys on the Lumatone are cut back at both the left and right edges to yield exactly five octaves.) With this mapping, notes of the [[11L 2s]] scale line up in pairs of row segments (of 6\37 offset from each other by the large MOSstep 3\37, and cut by the small MOSstep 2\37), which may make this mapping attractive for users wishing to play [[Ivan Wyschnegradsky]]'s Diatonicized Chromatic scale in a tuning system different from [[24edo]], while still retaining respectable (though not full piano) range.

== Porcupine ==

However, none of these are the most efficient when it comes to comfortably fingering simple chords. If you want an arrangement that makes it easy to play the best note combinations together, the [[1L 6s]] mapping for [[Porcupine]] is considerably superior.

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

== Others ==

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.

~~[[Category:~~Lumatone ~~mappings]] [[Category:37edo]]~~

@@ Line 1: / Line 1: @@
-There are many conceivable ways to map [[37edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]].
+{{Lumatone mapping intro}}
+== Diatonic ==
 {{Lumatone EDO mapping|n=37|start=10|xstep=7|ystep=-6}}
-However, as the perfect 5th is very sharp, neither this or the b val give easy access to the 5th harmonic. If you want an arrangement that makes it easy to play the best note combinations together the [[porcupine]] mapping is considerably superior.
+== Antidiatonic ==
+Since the perfect fifth is so sharp, you lose little accuracy by using the flat fifth as a generator instead, which can be interpreted as near equalised [[mavila]], or more accurately but complexly as [[undecimation]].
+{{Lumatone EDO mapping|n=37|start=23|xstep=5|ystep=1}}
+== Diatonicized Chromaticism via Rotated Antidiatonic ==
+[[Bryan Deister]] has demonstrated a rotated antidiatonic ([[2L&nbsp;5s]]) mapping in [https://www.youtube.com/shorts/e7dLJTsS3PQ ''37edo''] (2025), using the Mavila (sub-)fifth (21\37) as a generator. This yields a range of over five octaves, although the note 0 positions alternate between middle and near/far. (In the demonstration video, active keys on the Lumatone are cut back at both the left and right edges to yield exactly five octaves.) With this mapping, notes of the [[11L&nbsp;2s]] scale line up in pairs of row segments (of 6\37 offset from each other by the large MOSstep 3\37, and cut by the small MOSstep 2\37), which may make this mapping attractive for users wishing to play [[Ivan Wyschnegradsky]]'s Diatonicized Chromatic scale in a tuning system different from [[24edo]], while still retaining respectable (though not full piano) range.
+{{Lumatone EDO mapping|n=37|start=29|xstep=6|ystep=-1}}
+== Porcupine ==
+However, none of these are the most efficient when it comes to comfortably fingering simple chords. If you want an arrangement that makes it easy to play the best note combinations together, the [[1L&nbsp;6s]] mapping for [[Porcupine]] is considerably superior.
 {{Lumatone EDO mapping|n=37|start=10|xstep=5|ystep=2}}
-If you want to maximise your range, the [[Chromatic_pairs#Gariberttet|Gariberttet]] mapping is probably the clearest arrangement that gives access to the full gamut.
+== Others ==
+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.
 {{Lumatone EDO mapping|n=37|start=21|xstep=9|ystep=-8}}
-[[Category:Lumatone mappings]] [[Category:37edo]]
+{{Navbox Lumatone}}