Lumatone mapping for 80edo: Difference between revisions

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== Bidia ==

Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp undecimal major third ~[[14/11]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently. Herman Miller has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here].

Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp undecimal major third ~[[14/11]].

[[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.

[[Herman Miller]] has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here].

@@ Line 13: / Line 13: @@
 == Bidia ==
-Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp undecimal major third ~[[14/11]]. [[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently. Herman Miller has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here].
+Slicing the period into quarters produces the [[Bidia]] mapping, which keeps octaves closer to horizontal and makes the well-tuned 19th harmonic easily accessible. The (rightward) generator 7\80 is the Bidia generator which functions as ~[[16/15]], ~[[17/16]], and ~[[18/17]]; two of these make a somewhat sharp ~[[9/8]]; if allowed to pass the quarter-octave, three of these make a near-just classic minor third ~[[6/5]]; and four of them make a slightly sharp undecimal major third ~[[14/11]].
+[[Bryan Deister]] has demonstrated this mapping (except shifted to put the first note 0 where the first note 6 is shown here, to avoid a missed first note 3) in [https://www.youtube.com/shorts/H6DlCHKii-o ''microtonal improvisation in 80edo''] (2025). The range is about 2¾ octaves, and the octaves slope down very gently.
+[[Herman Miller]] has created a .ltn file for this mapping that can be downloaded [https://drive.google.com/file/d/13WTaNm7mMF_w3DrW4qh8fcD9WY07BElV here].
 {{Lumatone EDO mapping|n=80|start=69|xstep=7|ystep=-1}}