Lumatone mapping for 53edo: Difference between revisions

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== ~~Other mappings~~ ==

== Orwell ==

~~As with the Hanson mappings, the~~ [[Lumatone mapping for orwell|Orwell]] ~~and [[Barbados]] mappings both give~~ over six octaves of range, but ~~their~~ compressed [[4L 1s]] ~~mappings miss~~ many notes along the way. To cover the full gamut, ~~Orwell~~ can be expanded to [[4L 5s]] ~~and Barbados to~~ [[5L 4s]], but the range is reduced to ~~just over~~ four octaves and the octaves are tilted ~~downwards~~.

The basic [[Lumatone mapping for orwell|Orwell]] mapping gives over six octaves of range, but the compressed [[4L 1s]] mapping misses many notes along the way. To cover the full gamut, the mapping can be expanded to [[4L 5s]] or [[8L 1s]], but the range is reduced to around four octaves, and the octaves are tilted.

=== ~~Orwell~~ ===

=== Compressed ===

~~==== Compressed ====~~

In addition to missing some notes, this mapping does not have the double duty features of the expanded mappings below. That said, the octaves only have a slight slope, so on a hypothetical XL-sized Lumatone having enough keys for all the notes, this would be a respectable mapping.

==== Expanded ====

=== Expanded Orwell + Misneb ===

The range of this expanded mapping is slightly over four octaves, nominally more than that of the Doublethink mapping below, but the top and bottom octaves are both missing some notes due to being cut off in the upper left and lower right corners. That said, the generator is 5\53, or [[16/15]] ~ [[15/14]], which enables this mapping to do double duty for [[Marvel_temperaments#Misneb|Misneb]].

=== ~~Semiquartal~~ ===

=== Doublethink ===

==== Compressed ====

The [[8L 1s]] mapping has generator 6\53 ([[14/13]] ~ [[13/12]]), and two of them make a fairly accurate ~[[7/6]]; six of them make the very accurate ~[[8/5]]; and fourteen of them make the extremely accurate ~[[3/1]], making this an alternative [[Orwell]] mapping with the generator ~7/6 split in half, or in other words [[Semicomma family#Doublethink|Doublethink]]. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/r-Tzq33OGM4 ''microtonal improvisation in 53edo''] (2025). The range is a bit over three and a half octaves (sloping upwards), but in the demonstration video it appears less due to use of only 1 MIDI channel, which cuts off notes at both the left and right margins. If enough MIDI channels are used to accommodate all keys on the Lumatone, no notes are missing until the better part of the way through the top partial (more than half) octave.

== Semiquartal ==

The basic [[Barbados]] mapping gives over six octaves of range, but this compressed [[4L 1s]] mapping misses many notes along the way. To cover the full gamut, Barbados can be expanded to [[5L 4s]], but the range is reduced to just over four octaves and the octaves are tilted downwards. Each mapping does double duty for other temperaments.

=== Compressed Semiquartal + Hemischis/Hemigari ===

Although this mapping is missing some notes, the slope of the octaves is slight, and its generator of 11\53 (~[[15/13]]) enables it to do double duty as a [[Schismatic_family#Hemischis|Hemischis]]/[[Schismatic_family#Hemigari|Hemigari]] mapping, which could be useful on a hypothetical XL-sized Lumatone having enough keys for all the notes.

==== Expanded ====

=== Expanded Semiquartal + Baldy ===

This expanded mapping has 9\53 as its generator, which is the extremely accurate ~[[9/8]], enabling it to do double duty as a [[Subgroup_temperaments#Baldy|Baldy]] mapping.

~~=== 8L 1s ===~~

[[Bryan Deister]] has demonstrated the [[8L 1s]] mapping in [https://www.youtube.com/shorts/r-Tzq33OGM4 ''microtonal improvisation in 53edo''] (2025). The generator is 5\53, [[14/13]] ~ [[13/12]]. The range is about three and a half octaves (sloping upwards), but in the demonstration video it appears less due to use of only 1 MIDI channel, which cuts off notes at both the left and right margins.

~~{{Lumatone EDO mapping|n=53|start=37|xstep=6|ystep=-1}}~~

@@ Line 21: / Line 21: @@
 {{Lumatone EDO mapping|n=53|start=47|xstep=8|ystep=-1}}
-== Other mappings ==
+== Orwell ==
-As with the Hanson mappings, the [[Lumatone mapping for orwell|Orwell]] and [[Barbados]] mappings both give over six octaves of range, but their compressed [[4L&nbsp;1s]] mappings miss many notes along the way. To cover the full gamut, Orwell can be expanded to [[4L&nbsp;5s]] and Barbados to [[5L&nbsp;4s]], but the range is reduced to just over four octaves and the octaves are tilted downwards.
+The basic [[Lumatone mapping for orwell|Orwell]] mapping gives over six octaves of range, but the compressed [[4L&nbsp;1s]] mapping misses many notes along the way. To cover the full gamut, the mapping can be expanded to [[4L&nbsp;5s]] or [[8L&nbsp;1s]], but the range is reduced to around four octaves, and the octaves are tilted.
-=== Orwell ===
+=== Compressed ===
-==== Compressed ====
+In addition to missing some notes, this mapping does not have the double duty features of the expanded mappings below. That said, the octaves only have a slight slope, so on a hypothetical XL-sized Lumatone having enough keys for all the notes, this would be a respectable mapping.
 {{Lumatone EDO mapping|n=53|start=6|xstep=12|ystep=-7}}
-==== Expanded ====
+=== Expanded Orwell + Misneb ===
+The range of this expanded mapping is slightly over four octaves, nominally more than that of the Doublethink mapping below, but the top and bottom octaves are both missing some notes due to being cut off in the upper left and lower right corners. That said, the generator is 5\53, or [[16/15]] ~ [[15/14]], which enables this mapping to do double duty for [[Marvel_temperaments#Misneb|Misneb]].
 {{Lumatone EDO mapping|n=53|start=44|xstep=5|ystep=2}}
-=== Semiquartal ===
+=== Doublethink ===
-==== Compressed ====
+The [[8L&nbsp;1s]] mapping has generator 6\53 ([[14/13]] ~ [[13/12]]), and two of them make a fairly accurate ~[[7/6]]; six of them make the very accurate ~[[8/5]]; and fourteen of them make the extremely accurate ~[[3/1]], making this an alternative [[Orwell]] mapping with the generator ~7/6 split in half, or in other words [[Semicomma family#Doublethink|Doublethink]]. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/r-Tzq33OGM4 ''microtonal improvisation in 53edo''] (2025). The range is a bit over three and a half octaves (sloping upwards), but in the demonstration video it appears less due to use of only 1 MIDI channel, which cuts off notes at both the left and right margins. If enough MIDI channels are used to accommodate all keys on the Lumatone, no notes are missing until the better part of the way through the top partial (more than half) octave.
+{{Lumatone EDO mapping|n=53|start=37|xstep=6|ystep=-1}}
+== Semiquartal ==
+The basic [[Barbados]] mapping gives over six octaves of range, but this compressed [[4L&nbsp;1s]] mapping misses many notes along the way. To cover the full gamut, Barbados can be expanded to [[5L&nbsp;4s]], but the range is reduced to just over four octaves and the octaves are tilted downwards. Each mapping does double duty for other temperaments.
+=== Compressed Semiquartal + Hemischis/Hemigari ===
+Although this mapping is missing some notes, the slope of the octaves is slight, and its generator of 11\53 (~[[15/13]]) enables it to do double duty as a [[Schismatic_family#Hemischis|Hemischis]]/[[Schismatic_family#Hemigari|Hemigari]] mapping, which could be useful on a hypothetical XL-sized Lumatone having enough keys for all the notes.
 {{Lumatone EDO mapping|n=53|start=32|xstep=11|ystep=-2}}
-==== Expanded ====
+=== Expanded Semiquartal + Baldy ===
+This expanded mapping has 9\53 as its generator, which is the extremely accurate ~[[9/8]], enabling it to do double duty as a [[Subgroup_temperaments#Baldy|Baldy]] mapping.
 {{Lumatone EDO mapping|n=53|start=5|xstep=9|ystep=-7}}
-=== 8L&nbsp;1s ===
-[[Bryan Deister]] has demonstrated the [[8L&nbsp;1s]] mapping in [https://www.youtube.com/shorts/r-Tzq33OGM4 ''microtonal improvisation in 53edo''] (2025). The generator is 5\53, [[14/13]] ~ [[13/12]]. The range is about three and a half octaves (sloping upwards), but in the demonstration video it appears less due to use of only 1 MIDI channel, which cuts off notes at both the left and right margins.
-{{Lumatone EDO mapping|n=53|start=37|xstep=6|ystep=-1}}
 {{Navbox Lumatone}}