Lumatone mapping for 75edo: Difference between revisions

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

=== Compressed (Reversed-Chroma 1L 5s) Tetracot ===

[[Bryan Deister]] has demonstrated a compressed [[1L 5s]] 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).

[[Bryan Deister]] has demonstrated a compressed [[1L 5s]] 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 also contains the Tetracot [[6L 1s]] scale, but playing that scale in this layout requires backtracking.) 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).

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== 18L 1s MOS subset pseudo-diatonic ==

[[Bryan Deister]] has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for [[75edo]] in [https://www.youtube.com/shorts/nlurS-3VYkA ''75edo improv''] (2025) that deliberately uses non-coprime generators on all axes with the numbering of [[76edo]] to use a subset of 75edo to make 19 non-equal divisions of the octave in the form of a [[18L 1s]] MOS scale with a 4:3 step ratio. Note 75 is actually a duplicate of note 0; due to missing notes, it does not actually appear here.

Removing the octave correction turns this into an approximation of [[Carlos Beta]].

@@ Line 12: / Line 12: @@
 {{Lumatone EDO mapping|n=75|start=45|xstep=11|ystep=-2}}
-=== Compressed (Reversed-Chroma 6L&nbsp;1s) Tetracot ===
+=== Compressed (Reversed-Chroma 1L&nbsp;5s) Tetracot ===
-[[Bryan Deister]] has demonstrated a compressed [[1L&nbsp;5s]] 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).
+[[Bryan Deister]] has demonstrated a compressed [[1L&nbsp;5s]] 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 also contains the Tetracot [[6L&nbsp;1s]] scale, but playing that scale in this layout requires backtracking.) 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}}
@@ Line 28: / Line 28: @@
 {{Lumatone EDO mapping|n=75|start=2|xstep=9|ystep=-5}}
+== 18L&nbsp;1s MOS subset pseudo-diatonic ==
+[[Bryan Deister]] has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for [[75edo]] in [https://www.youtube.com/shorts/nlurS-3VYkA ''75edo improv''] (2025) that deliberately uses non-coprime generators on all axes with the numbering of [[76edo]] to use a subset of 75edo to make 19 non-equal divisions of the octave in the form of a [[18L&nbsp;1s]] MOS scale with a 4:3 step ratio. Note 75 is actually a duplicate of note 0; due to missing notes, it does not actually appear here.
+{{Lumatone EDO mapping|n=76||start=68|xstep=12|ystep=-4}}
+Removing the octave correction turns this into an approximation of [[Carlos Beta]].
+{{Lumatone EDO mapping|n=75||start=67|xstep=12|ystep=-4}}
 {{Navbox Lumatone}}