Lumatone mapping for 54edo: Difference between revisions

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Add Bryan Deister's Lumatone mapping for 54edo
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== Diaschismic ==
== Diaschismic ==
Despite having a smaller range, the [[diaschismic]] mapping makes it much easier to play harmonics together.  
Despite having a smaller range, the [[diaschismic]] mapping makes it much easier to play harmonics together.  
{{Lumatone EDO mapping|n=54|start=27|xstep=5|ystep=2}}
{{Lumatone EDO mapping|n=54|start=27|xstep=5|ystep=2}}
== Nessafof (Porwell) ==
[[Bryan Deister]] has used the [[Porwell temperaments#Nessafof|Nessafof (Porwell)]] layout for [[54edo]], as demonstrated in [https://www.youtube.com/shorts/Bi5-YQUQHek ''microtonal improvisation in 54edo''] (2025). At 7\54, the generator is a near-just septimal neutral second (~[[35/32]]), of which 2 make a slightly flat minor third ~[[6/5]] (constituted in 54b), and 11 make a sharp ~[[8/3]] (which corresponds to the 54b flat fifth). The [[7L 1s]] scale (with a step ratio of 7:5) is expanded similar to the expanded [[Lumatone mapping for porcupine]], but with large and small step sizes reversed (meaning that [[8L 1s]] is not supported — the small step size would be negative). On the one hand, this makes octaves recede rapidly; but on the other hand, this also means that down and right gives a convenient ascending whole tone scale shared with [[12edo]], although this requires constituting the ~[[9/8]] whole steps as (3♭ × 3♯) / 8. The range is four full octaves.
{{Lumatone EDO mapping|n=54|start=10|xstep=7|ystep=2}}


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

Revision as of 19:49, 8 May 2025

There are many conceivable ways to map 54edo onto the onto the Lumatone keyboard. However, it has 2 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.

Diatonic

You can use the b val, but it is very flat, to the point where major seconds become 10/9 instead of 9/8.

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Diaschismic

Despite having a smaller range, the diaschismic mapping makes it much easier to play harmonics together.

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Nessafof (Porwell)

Bryan Deister has used the Nessafof (Porwell) layout for 54edo, as demonstrated in microtonal improvisation in 54edo (2025). At 7\54, the generator is a near-just septimal neutral second (~35/32), of which 2 make a slightly flat minor third ~6/5 (constituted in 54b), and 11 make a sharp ~8/3 (which corresponds to the 54b flat fifth). The 7L 1s scale (with a step ratio of 7:5) is expanded similar to the expanded Lumatone mapping for porcupine, but with large and small step sizes reversed (meaning that 8L 1s is not supported — the small step size would be negative). On the one hand, this makes octaves recede rapidly; but on the other hand, this also means that down and right gives a convenient ascending whole tone scale shared with 12edo, although this requires constituting the ~9/8 whole steps as (3♭ × 3♯) / 8. The range is four full octaves.

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