Lumatone mapping for 17edo: Difference between revisions
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→Neutral thirds: Add Bryan Deister's Bleu + Hemif/Hemififths + Suhajira mapping after this |
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== Neutral thirds == | == Neutral thirds == | ||
An alternative arrangement derived from a [[Lumatone mapping for neutral thirds scales]] is: | An alternative arrangement derived from a [[Lumatone mapping for neutral thirds scales]] is: | ||
{{Lumatone EDO mapping|n=17|start=0|xstep=2|ystep=1}} | {{Lumatone EDO mapping|n=17|start=0|xstep=2|ystep=1}} | ||
Or a rotated version of this, resembling the [[Lumatone mapping for 24edo]] given in the official manual, is: | Or a rotated version of this, resembling the [[Lumatone mapping for 24edo]] given in the official manual, is: | ||
{{Lumatone EDO mapping|n=17|start=0|xstep=3|ystep=-1}} | {{Lumatone EDO mapping|n=17|start=0|xstep=3|ystep=-1}} | ||
== Bleu + | == Bleu + hemif/hemififths + suhajira == | ||
Another mapping having an easily accessible neutral third is [[Bryan Deister]]'s mapping that supports both an [[8L 1s]] scale, as in [[ | Another mapping having an easily accessible neutral third is [[Bryan Deister]]'s mapping that supports both an [[8L 1s]] scale, as in [[bleu]] temperament and a [[7L 3s]] scale as in [[hemif]]/[[hemififths]] and [[suhajira]] temperaments, in both cases with a 2:1 step ratio, demonstrated in [https://www.youtube.com/shorts/1bhWp0wev4c ''17edo improv''] (2025). The bleu generator 2\17 (an augmented unison or neutral second) is very simple in key movements, being one step right from the root note; this functions as flat ~[[12/11]], slightly sharp ~[[13/12]], sharp ~[[14/13]], and slightly flat ~[[25/23]]. The generator for the other temperaments is 5\17 (a diminished fourth or neutral third), which corresponds to two keys right plus one key up or (preferably) down-right. The range is just under 3½ octaves (although they are almost perfectly level), but on the other hand, if one is willing to trade out easy playing of bleu (and rearrange the color pattern accordingly), this mapping enables division into three complete middle manuals plus nearly complete top and bottom manuals. | ||
{{Lumatone EDO mapping|n=17|start=0|xstep=2|ystep=-1}} | {{Lumatone EDO mapping|n=17|start=0|xstep=2|ystep=-1}} | ||
== Squares == | == Squares == | ||
To maximise your range while also keeping octaves near horizontal and making chords easy to play, use the [[squares]] mapping. | To maximise your range while also keeping octaves near horizontal and making chords easy to play, use the [[squares]] mapping. | ||
{{Lumatone EDO mapping|n=17|start=9|xstep=6|ystep=-1}} | {{Lumatone EDO mapping|n=17|start=9|xstep=6|ystep=-1}} | ||
{{Navbox Lumatone}} | {{Navbox Lumatone}} | ||
Revision as of 08:51, 21 December 2025
There are many conceivable ways to map 17edo onto the onto the Lumatone keyboard. Only one, however, agrees with the Standard Lumatone mapping for Pythagorean.
Diatonic
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14
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9
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15
9
12
15
1
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10
13
2
5
8
11
14
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12
Neutral thirds
An alternative arrangement derived from a Lumatone mapping for neutral thirds scales is:
0
2
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7
9
11
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6
8
10
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14
16
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1
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9
Or a rotated version of this, resembling the Lumatone mapping for 24edo given in the official manual, is:
0
3
2
5
8
11
14
1
4
7
10
13
16
2
5
3
6
9
12
15
1
4
7
10
13
16
2
5
8
11
14
0
3
6
9
12
15
1
4
7
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7
10
13
16
2
5
8
11
14
0
3
6
9
12
15
1
3
6
9
12
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1
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7
10
13
16
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5
8
11
14
0
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11
14
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6
9
12
15
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4
7
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16
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0
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16
2
5
8
11
14
0
3
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15
1
4
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10
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12
15
1
4
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16
2
5
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14
0
3
6
9
12
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1
4
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0
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6
9
12
15
1
4
7
10
13
16
2
5
8
11
14
0
3
6
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15
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16
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15
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9
12
8
11
Bleu + hemif/hemififths + suhajira
Another mapping having an easily accessible neutral third is Bryan Deister's mapping that supports both an 8L 1s scale, as in bleu temperament and a 7L 3s scale as in hemif/hemififths and suhajira temperaments, in both cases with a 2:1 step ratio, demonstrated in 17edo improv (2025). The bleu generator 2\17 (an augmented unison or neutral second) is very simple in key movements, being one step right from the root note; this functions as flat ~12/11, slightly sharp ~13/12, sharp ~14/13, and slightly flat ~25/23. The generator for the other temperaments is 5\17 (a diminished fourth or neutral third), which corresponds to two keys right plus one key up or (preferably) down-right. The range is just under 3½ octaves (although they are almost perfectly level), but on the other hand, if one is willing to trade out easy playing of bleu (and rearrange the color pattern accordingly), this mapping enables division into three complete middle manuals plus nearly complete top and bottom manuals.
0
2
1
3
5
7
9
0
2
4
6
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12
14
1
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15
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16
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7
Squares
To maximise your range while also keeping octaves near horizontal and making chords easy to play, use the squares mapping.
9
15
14
3
9
15
4
13
2
8
14
3
9
15
4
1
7
13
2
8
14
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9
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10
0
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12
1
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11
0
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12
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13
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10
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11
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6
12
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13
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8
14
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