Xenharmonic Wiki

Lumatone mapping for 25edo

There are many conceivable ways to map 25edo onto the onto the Lumatone keyboard. However, it has 5 mutually-exclusive rings of fifths, so the Standard Lumatone mapping for Pythagorean is not one of them.

Antidiatonic

You can use the b val, which creates the 2L 5s Mavila mapping.

 
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Blackwood + Hamity

Since 25edo's flat fifth is very flat, even more than 16edo, better options exist for reaching consonant intervals easily, and Blackwood mappings serve that need, while also functioning as Hamity mappings (the generator 9\25 being a slightly flat septimal major third ~9/7) supporting scales 3L 5s (5:2 step ratio, Checkertonic) + 3L 2s (7:2 step ratio). A rotated antidiatonic (2L 5s, 5:3 step ratio) scale is also available, with vertically repeated notes partially mitigating the required vertical wraparounds. Two versions are available. Octaves slope moderately upwards as expected for Blackwood mappings, but the range is slightly different between versions.

Hamity generator 9\25 laid out as right 1 key + up 2 keys, favoring Antidiatonic scale

The antidiatonic scale has less of a slope than the Hamity scale, and the range is 6 octaves.

 
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Hamity generator 9\25 laid out as right 1 key + down-right 2 keys, favoring Checkertonic scale

The Hamity scale has less of a slope than the antidiatonic scale, and the range is 5¾ octaves. Bryan Deister has demonstrated this mapping in 25edo (2023).

 
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Luna

The luna mapping also works well, as it puts the decently tuned 5th and 7th harmonics in a straight line from the root.

 
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Gariberttet + Magic

Bryan Deister has demonstrated a mapping of 25edo that functions for both Gariberttet compressed to 1L 3s (7:6 step ratio) and Magic 3L 4s (7:1 step ratio), both having rotated scales, in Waltz in 25edo (short clip) (2024), with both the Blackwood fifth ~50/33 and the Mavila sub-fifth ~25/17 in easy reach. The range is over nine octaves, although with a severe downwards slant.

 
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