FloraC: Cleanup

2025-08-27T13:17:56Z

Cleanup

← Older revision		Revision as of 13:17, 27 August 2025
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	== Diatonic ==		== Diatonic ==
	Note that due to the size of the edo, this only covers slightly over half of its notes; however, since 98edo is a [[~~Meantone~~]] tuning, many common intervals will be available, and one could modulate to remote keys by having multiple versions of this mapping (on different Lumatone presets) using different root notes, to achieve the full gamut collectively even though not all at once.		Note that due to the size of the edo, this only covers slightly over half of its notes; however, since 98edo is a [[meantone]] tuning, many common intervals will be available, and one could modulate to remote keys by having multiple versions of this mapping (on different Lumatone presets) using different root notes, to achieve the full gamut collectively even though not all at once.
	{{Lumatone EDO mapping\|n=98\|start=94\|xstep=16\|ystep=-7}}		{{Lumatone EDO mapping\|n=98\|start=94\|xstep=16\|ystep=-7}}

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	However, this does not line up nicely with a user-friendly temperament (despite Bryan Deister's demonstrated ability to use it as if it does), and much of the range is consumed by a large triangular region consisting of an octave before the first full octave that is chopped off by the left edge into non-contiguous note sequences, and another large triangular region after the second full octave that is likewise chopped off by the right edge. By sacrificing these regions of non-contiguous notes, it is possible to achieve a layout that supports multiple much more user-friendly temperaments, while adding some repeated notes to mitigate vertical wraparounds, and still having slightly over two full octaves, as shown below.		However, this does not line up nicely with a user-friendly temperament (despite Bryan Deister's demonstrated ability to use it as if it does), and much of the range is consumed by a large triangular region consisting of an octave before the first full octave that is chopped off by the left edge into non-contiguous note sequences, and another large triangular region after the second full octave that is likewise chopped off by the right edge. By sacrificing these regions of non-contiguous notes, it is possible to achieve a layout that supports multiple much more user-friendly temperaments, while adding some repeated notes to mitigate vertical wraparounds, and still having slightly over two full octaves, as shown below.

	== Char-based ~~Diatonic~~ + ~~Erato~~ + ~~Injera~~ + Diatonicized Chromaticism (divided 11/8) + ~~Passion~~/~~Freivald~~ ==		== Char-based diatonic + erato + injera + Diatonicized Chromaticism (divided 11/8) + passion/freivald ==
	It is possible to produce a Lumatone mapping for [[98edo]] that supports scales [[12L 2s]] ([[~~Meantone_family#Injera\|Injera~~]] mega-chromatic, 8:1 step ratio), [[5L 2s]] (standard diatonic, 16:9 step ratio), and [[11L 2s]] ([[Ivan Wyschnegradsky]]'s Diatonicized Chromaticism, 8:5 step ratio). By itself, the rightward step is 8\98, which maps to the classic diatonic semitone ~[[16/15]] if the 98b val is used as in [[~~Passion_family#Freivald~~\|~~Passion~~/~~Freivald~~]] temperament, in which five of these steps make the flat fourth ~[[4/3]], with ~11/8 being used as a second generator as described above (elevating the temperament to rank-3). This gives inspiration for what to do with the [[patent val]], which tempers the classic diatonic semitone ~16/15 together with the minor diatonic semitone ~[[17/16]] (the charisma [[256/255]] is tempered out) as 9\98. Used as a generator, this combines the rightward and down-right steps on the keyboard. Five of these right-down-right generators make 45\98, which maps as the near-just undecimal major fourth ~[[11/8]], which itself serves as the dark generator for Ivan Wyschnegradsky's Diatonicized Chromaticism, for which the steps line up in neat rows. The flat (patent) fifth ~[[3/2]] (57\98) functions as the generator for [[~~Meantone~~]] (also supporting ~~Injera~~), with the diatonic scale laid out intuitively although stretched, with each two rightward steps corresponding to one whole step (16\98) of the diatonic scale. Although the patent fifth avoids [[contorsion]] on its own, use of both generators in combination makes for a convenient rank-3 temperament (as an off-beat tuning of [[~~Didymus_rank_three_family#Erato\|Erato~~]]). With no missed notes and some repeated notes to alleviate vertical wraparounds, the range is just over two octaves, which alternate between middle and near/far, superimposed upon an overall downward slope. [[Bryan Deister]] has demonstrated this mapping (not much over a day after its proposal) in [https://www.youtube.com/shorts/EUR8t8ynORg ''98edo prelude''] (2025).		It is possible to produce a Lumatone mapping for [[98edo]] that supports scales [[12L 2s]] ([[injera]] mega-chromatic, 8:1 step ratio), [[5L 2s]] (standard diatonic, 16:9 step ratio), and [[11L 2s]] ([[Ivan Wyschnegradsky]]'s Diatonicized Chromaticism, 8:5 step ratio). By itself, the rightward step is 8\98, which maps to the classic diatonic semitone ~[[16/15]] if the 98b val is used as in [[freivald\|passion/freivald]] temperament, in which five of these steps make the flat fourth ~[[4/3]], with ~11/8 being used as a second generator as described above (elevating the temperament to rank-3). This gives inspiration for what to do with the [[patent val]], which tempers the classic diatonic semitone ~16/15 together with the minor diatonic semitone ~[[17/16]] (the charisma [[256/255]] is tempered out) as 9\98. Used as a generator, this combines the rightward and down-right steps on the keyboard. Five of these right-down-right generators make 45\98, which maps as the near-just undecimal major fourth ~[[11/8]], which itself serves as the dark generator for Ivan Wyschnegradsky's Diatonicized Chromaticism, for which the steps line up in neat rows. The flat (patent) fifth ~[[3/2]] (57\98) functions as the generator for [[meantone]] (also supporting injera), with the diatonic scale laid out intuitively although stretched, with each two rightward steps corresponding to one whole step (16\98) of the diatonic scale. Although the patent fifth avoids [[contorsion]] on its own, use of both generators in combination makes for a convenient rank-3 temperament (as an off-beat tuning of [[erato]]). With no missed notes and some repeated notes to alleviate vertical wraparounds, the range is just over two octaves, which alternate between middle and near/far, superimposed upon an overall downward slope. [[Bryan Deister]] has demonstrated this mapping (not much over a day after its proposal) in [https://www.youtube.com/shorts/EUR8t8ynORg ''98edo prelude''] (2025).
	{{Lumatone EDO mapping\|n=98\|start=12\|xstep=8\|ystep=-7}}		{{Lumatone EDO mapping\|n=98\|start=12\|xstep=8\|ystep=-7}}

	{{Navbox Lumatone}}		{{Navbox Lumatone}}

Lucius Chiaraviglio: Create Lumatone mapping for 98edo, starting with 2 mappings tested by Bryan Deister, plus the obligatory Diatonic mapping

2025-08-06T09:02:32Z

Create Lumatone mapping for 98edo, starting with 2 mappings tested by Bryan Deister, plus the obligatory Diatonic mapping

New page

{{Lumatone mapping intro}}

== Diatonic ==
Note that due to the size of the edo, this only covers slightly over half of its notes; however, since 98edo is a [[Meantone]] tuning, many common intervals will be available, and one could modulate to remote keys by having multiple versions of this mapping (on different Lumatone presets) using different root notes, to achieve the full gamut collectively even though not all at once.
{{Lumatone EDO mapping|n=98|start=94|xstep=16|ystep=-7}}

== Maximum range without missed notes (unnamed rank-3 temperament) ==
[[Bryan Deister]] has demonstrated a rotated [[7L 1s]] (13:7 step ratio) mapping for [[98edo]] in [https://www.youtube.com/shorts/4NR3KFBd720 ''98edo waltz''] (2025). This mapping was designed to get as much range as possible without regard to temperament (the resulting temperament being an unnamed rank-3 temperament, since either single-step generator used alone will produce [[contorsion]]). The range is a bit over two octaves with no missed notes and no repeated notes, although the upper left and lower right corners contain considerable numbers of notes from incomplete octaves chopped off by the left and right edges; the octaves slope up and have a vertical wraparound.
{{Lumatone EDO mapping|n=98|start=23|xstep=6|ystep=7}}

However, this does not line up nicely with a user-friendly temperament (despite Bryan Deister's demonstrated ability to use it as if it does), and much of the range is consumed by a large triangular region consisting of an octave before the first full octave that is chopped off by the left edge into non-contiguous note sequences, and another large triangular region after the second full octave that is likewise chopped off by the right edge. By sacrificing these regions of non-contiguous notes, it is possible to achieve a layout that supports multiple much more user-friendly temperaments, while adding some repeated notes to mitigate vertical wraparounds, and still having slightly over two full octaves, as shown below.

== Char-based Diatonic + Erato + Injera + Diatonicized Chromaticism (divided 11/8) + Passion/Freivald ==
It is possible to produce a Lumatone mapping for [[98edo]] that supports scales [[12L 2s]] ([[Meantone_family#Injera|Injera]] mega-chromatic, 8:1 step ratio), [[5L 2s]] (standard diatonic, 16:9 step ratio), and [[11L 2s]] ([[Ivan Wyschnegradsky]]'s Diatonicized Chromaticism, 8:5 step ratio). By itself, the rightward step is 8\98, which maps to the classic diatonic semitone ~[[16/15]] if the 98b val is used as in [[Passion_family#Freivald|Passion/Freivald]] temperament, in which five of these steps make the flat fourth ~[[4/3]], with ~11/8 being used as a second generator as described above (elevating the temperament to rank-3). This gives inspiration for what to do with the [[patent val]], which tempers the classic diatonic semitone ~16/15 together with the minor diatonic semitone ~[[17/16]] (the charisma [[256/255]] is tempered out) as 9\98. Used as a generator, this combines the rightward and down-right steps on the keyboard. Five of these right-down-right generators make 45\98, which maps as the near-just undecimal major fourth ~[[11/8]], which itself serves as the dark generator for Ivan Wyschnegradsky's Diatonicized Chromaticism, for which the steps line up in neat rows. The flat (patent) fifth ~[[3/2]] (57\98) functions as the generator for [[Meantone]] (also supporting Injera), with the diatonic scale laid out intuitively although stretched, with each two rightward steps corresponding to one whole step (16\98) of the diatonic scale. Although the patent fifth avoids [[contorsion]] on its own, use of both generators in combination makes for a convenient rank-3 temperament (as an off-beat tuning of [[Didymus_rank_three_family#Erato|Erato]]). With no missed notes and some repeated notes to alleviate vertical wraparounds, the range is just over two octaves, which alternate between middle and near/far, superimposed upon an overall downward slope. [[Bryan Deister]] has demonstrated this mapping (not much over a day after its proposal) in [https://www.youtube.com/shorts/EUR8t8ynORg ''98edo prelude''] (2025).
{{Lumatone EDO mapping|n=98|start=12|xstep=8|ystep=-7}}

{{Navbox Lumatone}}

Lumatone mapping for 98edo - Revision history

FloraC: Cleanup

Lucius Chiaraviglio: Create Lumatone mapping for 98edo, starting with 2 mappings tested by Bryan Deister, plus the obligatory Diatonic mapping