User:Lucius Chiaraviglio/Keyboard Layout Lab: Difference between revisions

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Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:09, 2 August 2025 (UTC)<br>

Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:24, 6 August 2025 (UTC)

== Bidia + Diminished + Charismic + Semitonismic Lumatone mappings ==

=== 56edo (demonstrated to work) ===

[[Bryan Deister]] has demonstrated a [[4L 4s]] (9:5 step ratio) mapping for [[56edo]], in [https://www.youtube.com/watch?v=xkfao6yGKGE ''Curious Light - DOORS (microtonal cover in 56edo)''] (2025). Right + down-right divides the octave into slices of 14\56; as an interval in its own right, this is the same as the minor third of [[12edo]], which functions as ~[[19/16]] and ~[[25/21]] (both being near-just). Down-right alone is 5\56, which is the [[Normal forms#Minimal_form|minimal form]] generator for [[Bidia]]; it functions as the classic diatonic semitone ~[[16/15]], the large septendecimal semitone ~[[17/16]], and the small septendecimal semitone ~[[18/17]], meaning that the charisma [[256/255]] and the semitonisma [[289/288]] are both tempered out; two of them make a rather sharp whole tone ~[[9/8]]; three of them (passing the quarter-octave) make a mildly sharp classic minor third ~[[6/5]], although the afore-mentioned quarter-octave (12edo-style) minor third is easier to reach; in contrast, the near-just classic major third ~[[5/4]] is very easy to reach with just two moves rightwards, and a down-right move from this reaches the moderately flat fourth ~[[4/3]]; two more down-right moves reaches the rather sharp fifth ~[[3/2]]. The efficiency is almost as good as that of the diatonic mapping, with no missed notes and one repeated note per octave; the overall range is somewhat under five octaves, with no notes chopped off by the left and right edges before reaching the end of overall range. The cost of this is that octaves slant downwards.

Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:38, 21 August 2025 (UTC)<br>

Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:00, 21 August 2025 (UTC)

== Biyatismic Lumatone mappings ==

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Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:52, 28 July 2025 (UTC)

== Charismic-Semitonismic Lumatone mappings ==

== Diaschismic + Charismic + Semitonismic Lumatone mappings ==

=== 58edo (demonstrated to work ~~but awaiting approval~~) ===

=== 58edo (demonstrated to work) ===

[[Bryan Deister]] has demonstrated a [[2L 6s]] (14:5 step ratio) mapping for [[58edo]] in [https://www.youtube.com/shorts/7gkRyld5OU8 ''Waltz in 58edo''] (2025). (~~Rest~~ of ~~description goes here~~.)

[[Bryan Deister]] has demonstrated a [[2L 6s]] (14:5 step ratio) mapping for [[58edo]] in [https://www.youtube.com/shorts/7gkRyld5OU8 ''Waltz in 58edo''] (2025). The rightward generator 5\58 functions as the classic diatonic semitone ~[[16/15]], the large septendecimal semitone ~[[17/16]], and the small septendecimal semitone ~[[18/17]], meaning that the charisma [[256/255]] and the semitonisma [[289/288]] are both tempered out. The rightward generator is also the [[normal forms|minimal form]] of the [[Diaschismic]] generator, and indeed the [[diaschisma]] 2048/2045 is also tempered out. This generator makes a slew of intervals of reasonable prime limit that are not far from just: two of them make a near-just whole tone ~[[9/8]]; three of them make a mildly flat classic minor third ~[[6/5]]; four of them make a mildly flat undecimal major third ~[[14/11]]; five of them make a near-just classic acute fourth ~[[27/20]]; six of them pass the [[semioctave]] to make a slightly flat greater septimal tritone ~[[10/7]]; seven of them make a slightly flat septimal superfifth ~[[32/21]]; eight of them make a slightly flat tridecimal supraminor sixth ~[[21/13]]; nine of them make a near-just septimal major sixth ~[[12/7]]; and ten of them make an extremely accurate undecimal supraminor seventh ~[[20/11]]. Other common intervals such as the moderately sharp (although high in relative error) classic major third ~[[5/4]], the near-just perfect fourth ~[[4/3]], and the near-just perfect fifth ~[[3/2]] are in very easy reach of the chain of rightward generators, and not very distant from the root note. This may be sufficient compensation for the reverse chroma and the range of only three full octaves (which slope only slightly upward), with large partial octaves being chopped off by the upper left and lower right corners.

Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:11, 17 August 2025 (UTC)

Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:11, 17 August 2025 (UTC)<br>

Last modified: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:40, 21 August 2025 (UTC)

== Compton-related rank 3 temperament Lumatone mappings ==

@@ Line 30: / Line 30: @@
 Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 07:09, 2 August 2025 (UTC)<br>
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 09:24, 6 August 2025 (UTC)
+== Bidia + Diminished + Charismic + Semitonismic Lumatone mappings ==
+=== 56edo (demonstrated to work) ===
+[[Bryan Deister]] has demonstrated a [[4L&nbsp;4s]] (9:5 step ratio) mapping for [[56edo]], in [https://www.youtube.com/watch?v=xkfao6yGKGE ''Curious Light - DOORS (microtonal cover in 56edo)''] (2025). Right + down-right divides the octave into slices of 14\56; as an interval in its own right, this is the same as the minor third of [[12edo]], which functions as ~[[19/16]] and ~[[25/21]] (both being near-just). Down-right alone is 5\56, which is the [[Normal forms#Minimal_form|minimal form]] generator for [[Bidia]]; it functions as the classic diatonic semitone ~[[16/15]], the large septendecimal semitone ~[[17/16]], and the small septendecimal semitone ~[[18/17]], meaning that the charisma [[256/255]] and the semitonisma [[289/288]] are both tempered out; two of them make a rather sharp whole tone ~[[9/8]]; three of them (passing the quarter-octave) make a mildly sharp classic minor third ~[[6/5]], although the afore-mentioned quarter-octave (12edo-style) minor third is easier to reach; in contrast, the near-just classic major third ~[[5/4]] is very easy to reach with just two moves rightwards, and a down-right move from this reaches the moderately flat fourth ~[[4/3]]; two more down-right moves reaches the rather sharp fifth ~[[3/2]]. The efficiency is almost as good as that of the diatonic mapping, with no missed notes and one repeated note per octave; the overall range is somewhat under five octaves, with no notes chopped off by the left and right edges before reaching the end of overall range. The cost of this is that octaves slant downwards.
+{{Lumatone EDO mapping|n=56|start=0|xstep=9|ystep=-4}}
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:38, 21 August 2025 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:00, 21 August 2025 (UTC)
 == Biyatismic Lumatone mappings ==
@@ Line 75: / Line 86: @@
 Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:52, 28 July 2025 (UTC)
-== Charismic-Semitonismic Lumatone mappings ==
+== Diaschismic + Charismic + Semitonismic Lumatone mappings ==
-=== 58edo (demonstrated to work but awaiting approval) ===
+=== 58edo (demonstrated to work) ===
-[[Bryan Deister]] has demonstrated a [[2L&nbsp;6s]] (14:5 step ratio) mapping for [[58edo]] in [https://www.youtube.com/shorts/7gkRyld5OU8 ''Waltz in 58edo''] (2025). (Rest of description goes here.)
+[[Bryan Deister]] has demonstrated a [[2L&nbsp;6s]] (14:5 step ratio) mapping for [[58edo]] in [https://www.youtube.com/shorts/7gkRyld5OU8 ''Waltz in 58edo''] (2025). The rightward generator 5\58 functions as the classic diatonic semitone ~[[16/15]], the large septendecimal semitone ~[[17/16]], and the small septendecimal semitone ~[[18/17]], meaning that the charisma [[256/255]] and the semitonisma [[289/288]] are both tempered out. The rightward generator is also the [[normal forms|minimal form]] of the [[Diaschismic]] generator, and indeed the [[diaschisma]] 2048/2045 is also tempered out. This generator makes a slew of intervals of reasonable prime limit that are not far from just: two of them make a near-just whole tone ~[[9/8]]; three of them make a mildly flat classic minor third ~[[6/5]]; four of them make a mildly flat undecimal major third ~[[14/11]]; five of them make a near-just classic acute fourth ~[[27/20]]; six of them pass the [[semioctave]] to make a slightly flat greater septimal tritone ~[[10/7]]; seven of them make a slightly flat septimal superfifth ~[[32/21]]; eight of them make a slightly flat tridecimal supraminor sixth ~[[21/13]]; nine of them make a near-just septimal major sixth ~[[12/7]]; and ten of them make an extremely accurate undecimal supraminor seventh ~[[20/11]]. Other common intervals such as the moderately sharp (although high in relative error) classic major third ~[[5/4]], the near-just perfect fourth ~[[4/3]], and the near-just perfect fifth ~[[3/2]] are in very easy reach of the chain of rightward generators, and not very distant from the root note. This may be sufficient compensation for the reverse chroma and the range of only three full octaves (which slope only slightly upward), with large partial octaves being chopped off by the upper left and lower right corners.
 {{Lumatone EDO mapping|n=58|start=27|xstep=5|ystep=9}}
-Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:11, 17 August 2025 (UTC)
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 23:11, 17 August 2025 (UTC)<br>
+Last modified:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 08:40, 21 August 2025 (UTC)
 == Compton-related rank 3 temperament Lumatone mappings ==