Lucius Chiaraviglio: Create page, starting with Bryan Deister's Lumatone mapping for 13ed29/16 adapted from the Fully Expanded Porcupine + Augmented/Triforce mapping from 15edo (relative edo for 13ed29/16)

2026-05-30T03:42:45Z

Create page, starting with Bryan Deister's Lumatone mapping for 13ed29/16 adapted from the Fully Expanded Porcupine + Augmented/Triforce mapping from 15edo (relative edo 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]]/[[Augmented_family#Triforce|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 [https://www.youtube.com/watch?v=qxhfsxM80-w ''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.
{{Lumatone EDO mapping|n=15|start=0|xstep=2|ystep=-1}}

{{todo|complete page|inline=1|comment=Need a Navbox Lumatone that doesn't think this is a Lumatone mapping for an EDO.}}
[[Category:Lumatone mappings]]

Lumatone mapping for 13ed29/16 - Revision history

Lucius Chiaraviglio: Create page, starting with Bryan Deister's Lumatone mapping for 13ed29/16 adapted from the Fully Expanded Porcupine + Augmented/Triforce mapping from 15edo (relative edo for 13ed29/16)