Lumatone mapping for 59edo: Difference between revisions

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~~There are many conceivable ways to map [[59edo]] onto the [[~~Lumatone~~]] keyboard. However, as both it's 5ths are about as far away from just as possible~~, neither the ~~sharp or the flat versions~~ of ~~the [[Standard Lumatone mapping for Pythagorean]] work particularly well~~, ~~although~~ the sharp one is slightly closer making it the [[patent val]]. ~~In addition, neither covers~~ the ~~full gamut of every octave~~, ~~with multiple skipped notes~~.

{{Lumatone mapping intro}} In addition, neither covers the full gamut of every octave, with both having multiple skipped notes. Although the sharp one is slightly closer making it the [[patent val]].

== Diatonic ==

=== Sharp fifth ===

Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/unVwXrAWnzI ''icosa - Oliver Buckland (microtonal cover in 59edo)''] (2025).

=== Flat fifth ===

Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/XYr4j6Abwlw ''Le Ciel - Malice Mizer (microtonal cover in 59edo)''] (2026).

Instead, as it is ~~it's~~ optimal patent val, using the expanded ~~mapping of~~ [[~~porcupine~~]] is probably the best way of organising the intervals of 59edo while being able to access them all, although the range is slightly smaller than the ~~pythagorean~~ mapping.

== Porcupine ==

Instead, as it is its optimal patent val, using the expanded [[Porcupine]] mapping is probably the best way of organising the intervals of 59edo while being able to access them all, although the range is slightly smaller than the Pythagorean mapping.

[[Bryan Deister]]~~'s 2025~~ [https://www.youtube.com/watch?v=-UsnINWSvzo ~~improvisation] uses an~~ ''~~incomplete~~'' ~~mapping of~~ 9 right, 1 up.

== A-team ==

To maximise your range while covering all the notes, use the [[A-team]] mapping, which uses the inconsistently mapped [[21/16]] to hit the similarly inconsistent but accurate mappings to [[12/7]] and [[9/8]] with great efficiency.

In the comments, Deister recommends 7 right, 1 up as a complete mapping.

== Other mappings ==

[[Bryan Deister]] has demonstrated a [[3L 4s]] mapping (step ratio 9:8, not 13:5 as appearing on the page for 3L 4s) of 59edo in [https://www.youtube.com/watch?v=-UsnINWSvzo ''Microtonal improvisation in 59edo''] (2025) as 9 right, 1 up. The rightward generator is a whole tone that maps inconsistently due to the dual fifth nature of 59edo; however, three of these generators give an ~[[11/8]] that is only slightly flat. The down-right generator 8\59 maps to ~[[11/10]], which is not affected by the dual fifth nature of 59edo; four of these stack to yield a ~[[16/11]] that is only slightly sharp. Both fifths are also easily reachable. This mapping gets a range of a bit over five octaves, but at the cost of some skipped notes, especially in the upper left and lower right corners, but also a few in all octaves in between, and the octaves slant down severely.

In the comments to the video linked above, Deister recommends 7 right, 1 up as a complete [[5L 4s]] (7:6 step ratio) mapping. The range is now down to a bit over four octaves, with missing notes in at the ends due to the upper left and lower right corners, but at least no missing notes in the middle octaves, and the octave slope is not so severe.

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-There are many conceivable ways to map [[59edo]] onto the [[Lumatone]] keyboard. However, as both it's 5ths are about as far away from just as possible, neither the sharp or the flat versions of the [[Standard Lumatone mapping for Pythagorean]] work particularly well, although the sharp one is slightly closer making it the [[patent val]]. In addition, neither covers the full gamut of every octave, with multiple skipped notes.
+{{Lumatone mapping intro}} In addition, neither covers the full gamut of every octave, with both having multiple skipped notes. Although the sharp one is slightly closer making it the [[patent val]].
+== Diatonic ==
+=== Sharp fifth ===
+Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/unVwXrAWnzI ''icosa - Oliver Buckland (microtonal cover in 59edo)''] (2025).
 {{Lumatone EDO mapping|n=59|start=14|xstep=11|ystep=-9}}
+=== Flat fifth ===
+Despite the missing notes, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/XYr4j6Abwlw ''Le Ciel - Malice Mizer (microtonal cover in 59edo)''] (2026).
 {{Lumatone EDO mapping|n=59|start=49|xstep=9|ystep=-2}}
-Instead, as it is it's optimal patent val, using the expanded mapping of [[porcupine]] is probably the best way of organising the intervals of 59edo while being able to access them all, although the range is slightly smaller than the pythagorean mapping.
+== Porcupine ==
+Instead, as it is its optimal patent val, using the expanded [[Porcupine]] mapping is probably the best way of organising the intervals of 59edo while being able to access them all, although the range is slightly smaller than the Pythagorean mapping.
 {{Lumatone EDO mapping|n=59|start=6|xstep=8|ystep=-5}}
-[[Bryan Deister]]'s 2025 [https://www.youtube.com/watch?v=-UsnINWSvzo improvisation] uses an ''incomplete'' mapping of 9 right, 1 up.
+== A-team ==
-{{Lumatone EDO mapping|n=59|start=0|xstep=9|ystep=1}}
+To maximise your range while covering all the notes, use the [[A-team]] mapping, which uses the inconsistently mapped [[21/16]] to hit the similarly inconsistent but accurate mappings to [[12/7]] and [[9/8]] with great efficiency.
-In the comments, Deister recommends 7 right, 1 up as a complete mapping.
+{{Lumatone EDO mapping|n=59|start=0|xstep=10|ystep=-7}}
-{{Lumatone EDO mapping|n=59|start=0|xstep=7|ystep=1}}
+== Other mappings ==
+[[Bryan Deister]] has demonstrated a [[3L&nbsp;4s]] mapping (step ratio 9:8, not 13:5 as appearing on the page for 3L&nbsp;4s) of 59edo in [https://www.youtube.com/watch?v=-UsnINWSvzo ''Microtonal improvisation in 59edo''] (2025) as 9 right, 1 up. The rightward generator is a whole tone that maps inconsistently due to the dual fifth nature of 59edo; however, three of these generators give an ~[[11/8]] that is only slightly flat. The down-right generator 8\59 maps to ~[[11/10]], which is not affected by the dual fifth nature of 59edo; four of these stack to yield a ~[[16/11]] that is only slightly sharp. Both fifths are also easily reachable. This mapping gets a range of a bit over five octaves, but at the cost of some skipped notes, especially in the upper left and lower right corners, but also a few in all octaves in between, and the octaves slant down severely.
+{{Lumatone EDO mapping|n=59|start=0|xstep=9|ystep=-1}}
+In the comments to the video linked above, Deister recommends 7 right, 1 up as a complete [[5L&nbsp;4s]] (7:6 step ratio) mapping. The range is now down to a bit over four octaves, with missing notes in at the ends due to the upper left and lower right corners, but at least no missing notes in the middle octaves, and the octave slope is not so severe.
+{{Lumatone EDO mapping|n=59|start=0|xstep=7|ystep=-1}}
-{{Lumatone mapping navigation}}
+{{Navbox Lumatone}}