Lumatone mapping for 46edo: Difference between revisions

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== 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).

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).

== Rodan ==

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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 ~~upwards~~ 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 (just under 4⅛ octaves, with the octaves sloping downwards gently).

== 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. Also, the chroma goes up instead of down, which may be appealing for some users.

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.

== Amity ==

The [[Lumatone mapping for Amity]] 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.

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).

@@ Line 2: / Line 2: @@
 == 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}}
-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).
 == Rodan ==
@@ Line 16: / Line 14: @@
 == 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 upwards 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 (just under 4⅛ octaves, with the octaves sloping downwards gently).
 {{Lumatone EDO mapping|n=46|start=25|xstep=5|ystep=2}}
 == Bison (Porwell + Sensi) ==
-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. Also, the chroma goes up instead of down, which may be appealing for some users.
+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}}
 == Amity ==
-The [[Lumatone mapping for Amity]] 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.
+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}}