Lumatone mapping for 75edo: Difference between revisions

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== Tetracot ==

The [[Tetracot]] mapping is considerably more efficient at putting harmonics close together~~, although it also needs to be expanded from [[~~6L 1s~~]] to~~ [[~~7L 6s~~]] to ~~hit every single note, which puts octaves~~ all ~~over~~ the ~~place~~

The [[Tetracot]] mapping is considerably more efficient at putting harmonics close together.

=== Standard (6L 1s) Tetracot ===

However, 75edo is too large for the standard [[Lumatone mapping for Tetracot]] to include all of the notes.

=== Compressed (Reversed-Chroma 6L 1s) Tetracot ===

[[Bryan Deister]] has demonstrated a compressed [[6L 1s mapping of [[75edo]] in [https://www.youtube.com/watch?v=5-G2KkYfKLs&list=WL&index=343&pp=gAQBiAQB8AUB ''microtonal improvisation in 75edo''] (2025-06-22). This combines the temperament of [[Tetracot]] with the idea of the compressed [[Lumatone mapping for Porcupine]], by reversing the chroma. This expands the overall range to more than five octaves, but too much so for anything so large as 75edo, thereby causing missed notes (although it demonstrates how such a mapping could shine for a smaller EDO or a hypothetical XL-sized Lumatone that has room for all of the notes).

=== Expanded (7L 6s) Tetracot ===

To cover all of the notes in 75edo, Tetracot needs to be expanded from [[6L 1s]] to [[7L 6s]], which puts octaves all over the place

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 == Tetracot ==
-The [[Tetracot]] mapping is considerably more efficient at putting harmonics close together, although it also needs to be expanded from [[6L&nbsp;1s]] to [[7L&nbsp;6s]] to hit every single note, which puts octaves all over the place
+The [[Tetracot]] mapping is considerably more efficient at putting harmonics close together.
+=== Standard (6L&nbsp;1s) Tetracot ===
+However, 75edo is too large for the standard [[Lumatone mapping for Tetracot]] to include all of the notes.
 {{Lumatone EDO mapping|n=75|start=45|xstep=11|ystep=-2}}
+=== Compressed (Reversed-Chroma 6L&nbsp;1s) Tetracot ===
+[[Bryan Deister]] has demonstrated a compressed [[6L&nbsp;1s mapping of [[75edo]] in [https://www.youtube.com/watch?v=5-G2KkYfKLs&list=WL&index=343&pp=gAQBiAQB8AUB ''microtonal improvisation in 75edo''] (2025-06-22). This combines the temperament of [[Tetracot]] with the idea of the compressed [[Lumatone mapping for Porcupine]], by reversing the chroma.  This expands the overall range to more than five octaves, but too much so for anything so large as 75edo, thereby causing missed notes (although it demonstrates how such a mapping could shine for a smaller EDO or a hypothetical XL-sized Lumatone that has room for all of the notes).
+{{Lumatone EDO mapping|n=75|start=17|xstep=11|ystep=9}}
+=== Expanded (7L&nbsp;6s) Tetracot ===
+To cover all of the notes in 75edo, Tetracot needs to be expanded from [[6L&nbsp;1s]] to [[7L&nbsp;6s]], which puts octaves all over the place
 {{Lumatone EDO mapping|n=75|start=0|xstep=9|ystep=-7}}