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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== 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.

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''] (2025-10-25), 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 the Rodan and Sensi mappings above, 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. [[ Bryan Deister]] demonstrates this in [https://www.youtube.com/shorts/IWYJPyWE_Ao ''46edo waltz''] (2025).

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).

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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&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 20: / Line 18: @@
 == 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 (with a slight upward slope). 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''] (2025-10-25), 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 the Rodan and Sensi mappings above, 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. [[ Bryan Deister]] demonstrates this in [https://www.youtube.com/shorts/IWYJPyWE_Ao ''46edo waltz''] (2025).
+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}}