Lumatone mapping for 13ed29/16

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Potentially many ways exist to map 13ed29/16 to the Lumatone; however, since this is a non-octave tuning, the Standard Lumatone mapping for Pythagorean is not one of them, and it is not even a valid mapping for 15edo, the relative edo of 13ed29/16, due to 15edo having three rings of fifths.

Fully Expanded Porcupine + Augmented/Triforce mapping from 15edo (relative edo for 13ed29/16)

As noted above, relative edo of 13ed29/16 is 15edo (with compressed octaves), and porcupine is a popular temperament that 15edo supports. The fully expanded 7L 1s mapping (compressed octave) has not much range (just under four octaves, corresponding to just under 4½ stacked 29/16); also, the slope given by the color mapping in the following linked video is enough upwards to permit reframing as a slight downwards slope with a 6L 3s scale (as in augmented/triforce, and gentle enough to provide the potential splitting the mapping into multiple manuals (three complete in the middle, and one partial each above and below) — assuming one wants 15edo with compressed octaves rather than outright 13ed29/16 (which would have a different equave slope, and thus incompatible with the multiple manual idea just described). Bryan Deister demonstrates this mapping in 13ed(29/16) improv (2026), although with the color scheme set for porcupine and not augmented/triforce; in addition, the color scheme is laid out for 15edo (as also indicated by the note numbers in the following layout) rather than for 13ed29/16.

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Todo: complete page

Need a Navbox Lumatone that doesn't think this is a Lumatone mapping for an EDO.

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