Lumatone mapping for 46edo: Difference between revisions
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→Sensi: Add Bryan Deister's Bison mapping for 46edo after this; also move Sensi note 0 to avoid having notes in first note 0 to note 0 octave chopped off by left edge while not losing notes out of last note 0 to note 0 octave |
→Diatonic: Add demo video; put description above mapping to match most other Lumatone mapping sections |
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== Diatonic == | == 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). | |||
{{Lumatone EDO mapping|n=46|start=4|xstep=8|ystep=-5}} | {{Lumatone EDO mapping|n=46|start=4|xstep=8|ystep=-5}} | ||
== Rodan == | == Rodan == | ||
| Line 16: | Line 14: | ||
== Sensi == | == 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 | 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}} | {{Lumatone EDO mapping|n=46|start=25|xstep=5|ystep=2}} | ||
== Bison (Porwell + Sensi) == | == 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. | ||
{{Lumatone EDO mapping|n=46|start=38|xstep=6|ystep=-1}} | {{Lumatone EDO mapping|n=46|start=38|xstep=6|ystep=-1}} | ||
== Amity == | == Amity == | ||
The [[Lumatone mapping for Amity]] is a good compromise between | 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). | ||
{{Lumatone EDO mapping|n=46|start=41|xstep=7|ystep=-1}} | {{Lumatone EDO mapping|n=46|start=41|xstep=7|ystep=-1}} | ||
Latest revision as of 08:04, 5 December 2025
There are many conceivable ways to map 46edo onto the 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 Memory Image - Claude Larson (microtonal cover in 46edo) (2025).
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Rodan
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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The expanded mapping fixes this, but now the chroma goes diagonally down, requiring an adjustment of playing style when doing chromatic runs.
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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).
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Bison (Porwell + Sensi)
Related to Sensi, Bryan Deister has demonstrated a 6L 2s (6:5 step ratio) Bison mapping for 46edo in 46edo improv (2025), with Bison being the intersection of 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.
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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 46edo waltz (2025).
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Echidnic
The Echidnic mapping does even better than Amity, giving the greatest overall efficiency at reaching harmonics while also keeping octaves close to horizontal.
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