Lumatone mapping for 53edo: Difference between revisions

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{{Lumatone EDO mapping|n=53|start=47|xstep=8|ystep=-1}}
{{Lumatone EDO mapping|n=53|start=47|xstep=8|ystep=-1}}


== Orwell ==
== See also ==
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.
Due to limitations of the Lumatone EDO mapping template, some Lumatone mappings for 53edo (currently for [[Orwell]] and [[semiquartal]] layout families) had to be moved to another page.
 
* [[Lumatone mapping for 53edo (part 2)]]
=== 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 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}}
 
=== Doublethink ===
The [[8L 1s]] mapping has generator 6\53 ([[13/12]] ~ [[14/13]]), 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 ==
Like the basic Orwell mapping, the basic compressed [[4L 1s]] [[Barbados]] mapping also gives over six octaves of range but 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.
{{Lumatone EDO mapping|n=53|start=32|xstep=11|ystep=-2}}
 
=== 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}}


{{Navbox Lumatone}}
{{Navbox Lumatone}}

Latest revision as of 10:37, 4 March 2026

There are many conceivable ways to map 53edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.

Diatonic

This is "Preset 9 — 53-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 9 — 53-EDO Bosanquet" in version 1.21. Cam Taylor has created a tour of intervals for this layout, in A meander around 53-equal on the Lumatone (2025).

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Hanson

Since 53edo is a schismatic tuning, the best approximation to 5/4 is the diminished fourth. The Hanson mapping makes playing familiar 5-limit chords easier, but the 4L 3s mapping does not quite span the full gamut.

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The expanded 4L 7s mapping does cover the entire gamut, but puts octaves all over the place.

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Semaja

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.

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Hemikleismic + Semaja

Bryan Deister has demonstrated a mapping for 53edo in Waltz in 53edo (2026) that functions for hemikleismic (7L 1s scale with a 7:4 step ratio right and right-up with the small step stretched) and 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).

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Buzzard

For easy access to single step movements and both the third and seventh harmonics, the buzzard mapping is quite effective.

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Amity

The Lumatone mapping for amity mapping also puts 5-limit chords within very easy reach and provides a relatively even heptatonic scale.

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See also

Due to limitations of the Lumatone EDO mapping template, some Lumatone mappings for 53edo (currently for Orwell and semiquartal layout families) had to be moved to another page.

View • Talk • Edit Lumatone mappings 
← 50edo • 51edo • 52edo • Lumatone mapping for 53edo • 54edo • 55edo • 56edo →


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