Lumatone mapping for 31edo: Difference between revisions

This is "Preset 8 — 31-ET Bosanquet" in version 1.0 of the official Lumatone manual, and "Preset 8 — 31-EDO Bosanquet" in version 1.21.

This is a flipped version of Double-Bosanquet which results in octaves being closer to horizontal. The step shape normally mapped to major seconds is here mapped to neutral seconds. [[Bryan Deister]] has demonstrated this mapping in [https://www.youtube.com/shorts/AkXCy6bTrgY ''31edo groove''] (2025).

{{Lumatone EDO mapping|n=31|start=20|xstep=4|ystep=1}}

If you want maximum range while still having access to all notes, the [[3L 1s]] [[Myna]] mapping is the most efficient one, covering eight full (and almost level) octaves while still giving 5-limit chords easy to play shapes. However, the [[4L 3s]] MOS has a 7:1 step ratio, making it very lopsided.

The [[3L 2s]] mapping for [[Squares]] uses 11 steps (the supermajor third or diminished fourth) as the generator. The range is seven octaves, though each successive octave is located noticeably lower than the previous. Other adjacent key intervals are 7\31 (~[[7/6]] subminor third) and 9\31 (~[[11/9]] neutral third), so this mapping may be of interest to those playing in [[Myna]] and [[Mohajira]], respectively, especially if they need to switch quickly between Squares and either or both of these temperaments. Also adjacent is 2\31, allowing this mapping to serve as a rotated and compressed version of the [[Valentine]] mapping, although the available vertical space is insufficient to make good use of Valentine; the octave slant would make Valentine awkward even with more vertical space, and single-step movements and the diatonic scale are hard to play.