Lumatone mapping for 46edo: Difference between revisions

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~~There are many conceivable ways to map [[46edo]] onto~~ the [[~~Lumatone~~]] ~~keyboard~~. ~~Only one~~, ~~however~~, ~~agrees with the~~ [[~~Standard Lumatone~~ mapping ~~for Pythagorean]~~].

== Diatonic ==

Unfortunately the [[Leapday]] diatonic scale makes basic 5-limit minor and major intervals complex, and with this mapping they are awkward to play. (For example, reaching 5/4 using only sharps and flats would require a triply-augmented unison, such as C–C𝄪♯ or C to C triple sharp). Despite this, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/fxEWnqvZtjY ''Memory Image - Claude Larson (microtonal cover in 46edo)''] (2025).

== Rodan ==

Unfortunately the [[Leapday]] diatonic scale is not meantone, and makes basic 5-limit minor and major interval quite complex and often awkward to play. (For example, reaching 5/4 using only sharps and flats would require a triply-augmented unison, such as C–C𝄪♯ or C to C triple sharp). The [[Rodan]] mapping has a slightly wider range and is probably more intuitive, but has the disadvantage of skipping a chroma on some of the transitions between columns, making it impossible to play the full gamut of each octave, and each octave is substantially higher up on the keyboard.

The [[Rodan]] mapping has a slightly wider range and is probably more intuitive, but has the disadvantage of skipping a chroma on some of the transitions between columns, making it impossible to play the full gamut of each octave, and each octave is substantially higher up on the keyboard.

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== Sensi ==

The [[Lumatone mapping for sensi]] is another option that makes 5-limit chords fairly easy to play, although it has a slightly smaller range (just under 4⅛ octaves, with the octaves sloping downwards gently).

~~The~~ [[~~Lumatone~~ mapping for ~~sensi~~]] is ~~another option that makes~~ 5~~-limit chords fairly easy~~ to ~~play~~, ~~although it has~~ a ~~slightly smaller range~~.

== Bison (Porwell + Sensi) ==

Related to Sensi, [[Bryan Deister]] has demonstrated a [[6L 2s]] (6:5 step ratio) [[Sensipent_family#Bison|Bison]] mapping for [[46edo]] in [https://www.youtube.com/shorts/K-Gu_YkjYS4 ''46edo improv''] (2025), with Bison being the intersection of [[Porwell temperaments|Porwell]] with [[Sensi]]. The (rightward) generator for this is 6\46, which is a near-just septimal neutral second ~[[35/32]], and two of them yield a near-just (barely flat) classic major third ~[[6/5]] (the Porwell comma [[6144/6125]] is tempered out). The range is just over 4⅓ octaves with no missing notes (slightly more than for the Sensi mapping above) and some repeats to mitigate vertical wraparounds, and the octaves are almost level (with a slight upward slope). Also, the chroma goes up instead of down, which may be appealing for some users.

The [[Amity]] ~~mapping~~ is a good compromise between ~~these~~, since it provides an even heptatonic scale, making the full gamut playable, puts 5-limit minor and major chords within easy reach, and has the chroma going in the correct direction.

== Amity ==

The [[Lumatone mapping for Amity]] is a good compromise between the Rodan and Sensi mappings above, since it provides an even heptatonic scale ([[4L 3s]] with a 7:6 step ratio), making the full gamut playable, puts 5-limit minor and major chords within easy reach, and has the chroma going in the correct direction. [[ Bryan Deister]] demonstrates this in [https://www.youtube.com/shorts/IWYJPyWE_Ao ''46edo waltz''] (2025).

== Echidnic ==

The [[Echidnic]] mapping does even better, giving the greatest overall efficiency at reaching harmonics while also keeping octaves close to horizontal.

The [[Echidnic]] mapping does even better than Amity, giving the greatest overall efficiency at reaching harmonics while also keeping octaves close to horizontal.

@@ Line 1: / Line 1: @@
-There are many conceivable ways to map [[46edo]] onto the [[Lumatone]] keyboard. Only one, however, agrees with the [[Standard Lumatone mapping for Pythagorean]].
+{{Lumatone mapping intro}}
+== Diatonic ==
+Unfortunately the [[Leapday]] diatonic scale makes basic 5-limit minor and major intervals complex, and with this mapping they are awkward to play. (For example, reaching 5/4 using only sharps and flats would require a triply-augmented unison, such as C&ndash;C&#x1D12A;&#x266F; or C to C triple sharp). Despite this, [[Bryan Deister]] has used this mapping in [https://www.youtube.com/shorts/fxEWnqvZtjY ''Memory Image - Claude Larson (microtonal cover in 46edo)''] (2025).
 {{Lumatone EDO mapping|n=46|start=4|xstep=8|ystep=-5}}
+== Rodan ==
-Unfortunately the [[Leapday]] diatonic scale is not meantone, and makes basic 5-limit minor and major interval quite complex and often awkward to play. (For example, reaching 5/4 using only sharps and flats would require a triply-augmented unison, such as C&ndash;C&#x1D12A;&#x266F; or C to C triple sharp). The [[Rodan]] mapping has a slightly wider range and is probably more intuitive, but has the disadvantage of skipping a chroma on some of the transitions between columns, making it impossible to play the full gamut of each octave, and each octave is substantially higher up on the keyboard.
+The [[Rodan]] mapping has a slightly wider range and is probably more intuitive, but has the disadvantage of skipping a chroma on some of the transitions between columns, making it impossible to play the full gamut of each octave, and each octave is substantially higher up on the keyboard.
 {{Lumatone EDO mapping|n=46|start=18|xstep=9|ystep=-1}}
@@ Line 10: / Line 13: @@
 {{Lumatone EDO mapping|n=46|start=21|xstep=9|ystep=-8}}
+== Sensi ==
+The [[Lumatone mapping for sensi]] is another option that makes 5-limit chords fairly easy to play, although it has a slightly smaller range (just under 4⅛ octaves, with the octaves sloping downwards gently).
+{{Lumatone EDO mapping|n=46|start=25|xstep=5|ystep=2}}
-The [[Lumatone mapping for sensi]] is another option that makes 5-limit chords fairly easy to play, although it has a slightly smaller range.
+== Bison (Porwell + Sensi) ==
-{{Lumatone EDO mapping|n=46|start=37|xstep=5|ystep=2}}
+Related to Sensi, [[Bryan Deister]] has demonstrated a [[6L&nbsp;2s]] (6:5 step ratio) [[Sensipent_family#Bison|Bison]] mapping for [[46edo]] in [https://www.youtube.com/shorts/K-Gu_YkjYS4 ''46edo improv''] (2025), with Bison being the intersection of [[Porwell temperaments|Porwell]] with [[Sensi]]. The (rightward) generator for this is 6\46, which is a near-just septimal neutral second ~[[35/32]], and two of them yield a near-just (barely flat) classic major third ~[[6/5]] (the Porwell comma [[6144/6125]] is tempered out). The range is just over 4⅓ octaves with no missing notes (slightly more than for the Sensi mapping above) and some repeats to mitigate vertical wraparounds, and the octaves are almost level (with a slight upward slope). Also, the chroma goes up instead of down, which may be appealing for some users.
+{{Lumatone EDO mapping|n=46|start=38|xstep=6|ystep=-1}}
-The [[Amity]] mapping is a good compromise between these, since it provides an even heptatonic scale, making the full gamut playable, puts 5-limit minor and major chords within easy reach, and has the chroma going in the correct direction.
+== Amity ==
+The [[Lumatone mapping for Amity]] is a good compromise between the Rodan and Sensi mappings above, since it provides an even heptatonic scale ([[4L&nbsp;3s]] with a 7:6 step ratio), making the full gamut playable, puts 5-limit minor and major chords within easy reach, and has the chroma going in the correct direction. [[ Bryan Deister]] demonstrates this in [https://www.youtube.com/shorts/IWYJPyWE_Ao ''46edo waltz''] (2025).
 {{Lumatone EDO mapping|n=46|start=41|xstep=7|ystep=-1}}
+== Echidnic ==
-The [[Echidnic]] mapping does even better, giving the greatest overall efficiency at reaching harmonics while also keeping octaves close to horizontal.
+The [[Echidnic]] mapping does even better than Amity, giving the greatest overall efficiency at reaching harmonics while also keeping octaves close to horizontal.
 {{Lumatone EDO mapping|n=46|start=44|xstep=9|ystep=-4}}
 {{Navbox Lumatone}}