Lumatone mapping for 15edo: Difference between revisions

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== Porcupine ==

[[Porcupine]] is a popular temperament that 15edo supports, although the expanded mapping here ([[1L 6s]] scale with 3:2 step ratio and no backtracking) spreads the octaves out more than is optimal for such a small tuning system as 15edo, thereby limiting the range to somewhat over four octaves, which slope upwards too much for convenience in splitting the keyboard into multiple manuals.

[[Porcupine]] is a popular temperament that 15edo supports, although the semi-expanded mapping here ([[1L 6s]] scale with 3:2 step ratio and no backtracking) spreads the octaves out more than is optimal for such a small tuning system as 15edo, thereby limiting the range to somewhat over four octaves, which slope upwards too much for convenience in splitting the keyboard into multiple manuals.

=== Fully Expanded (add Augmented/Triforce) ===

The fully expanded [[7L 1s]] mapping reduces the range (now under just four octaves) and increases the octave slope even further, but may be more intuitive to play, including having a forward chroma (rather than reverse as above); also, the slope is now 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 two partial above and below). [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/O0FCuzMLX9E ''15edo''] (2023), although with the color scheme set for porcupine and not augmented/triforce.

== Blackwood + augmented (augene) + kleismic (hanson/keemun/superkleismic) ==

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 == Porcupine ==
-[[Porcupine]] is a popular temperament that 15edo supports, although the expanded mapping here ([[1L&nbsp;6s]] scale with 3:2 step ratio and no backtracking) spreads the octaves out more than is optimal for such a small tuning system as 15edo, thereby limiting the range to somewhat over four octaves, which slope upwards too much for convenience in splitting the keyboard into multiple manuals.
+[[Porcupine]] is a popular temperament that 15edo supports, although the semi-expanded mapping here ([[1L&nbsp;6s]] scale with 3:2 step ratio and no backtracking) spreads the octaves out more than is optimal for such a small tuning system as 15edo, thereby limiting the range to somewhat over four octaves, which slope upwards too much for convenience in splitting the keyboard into multiple manuals.
 {{Lumatone EDO mapping|n=15|start=0|xstep=2|ystep=1}}
+=== Fully Expanded (add Augmented/Triforce) ===
+The fully expanded [[7L&nbsp;1s]] mapping reduces the range (now under just four octaves) and increases the octave slope even further, but may be more intuitive to play, including having a forward chroma (rather than reverse as above); also, the slope is now enough upwards to permit reframing as a slight downwards slope with a [[6L&nbsp;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 two partial above and below). [[Bryan Deister]] demonstrates this mapping in [https://www.youtube.com/shorts/O0FCuzMLX9E ''15edo''] (2023), although with the color scheme set for porcupine and not augmented/triforce.
+{{Lumatone EDO mapping|n=15|start=0|xstep=2|ystep=-1}}
 == Blackwood + augmented (augene) + kleismic (hanson/keemun/superkleismic) ==