User:Lucius Chiaraviglio/Keyboard Layout Lab/Non-Isomorphic Lumatone mappings

As the page title implies, this page gets non-isomorphic Lumatone mappings, including those that can be generated by the isomorphic mechanism by specifying a number of notes per interval of equivalence that is different from the actual number of notes.

Named Note Lumatone Mappings

(This section is a placeholder.)

Pseudo-Isomorphic Lumatone Mappings

Mappings that can be generated by the isomorphic mechanism by specifying a number of notes per interval of equivalence that is different from the actual number of notes (generally, 1 extra note which is actually a duplicate of the next note 0).

18edo (demonstrated to work)

A pseudo-isomorphic pseudo-diatonic mapping for 18edo that duplicates note 0 (as note 18) enables diatonic playing while keeping octaves level — it is the 19edo diatonic layout, but with only 18 unique notes per octave. Alternatively, it can be interpreted as the 4L 3s Janko layout, but with a duplicate of note 0 added, which allows it to support both the 4L 3s scale (3:2 step ratio) and a 5L 1s₁ 1s₂ MODMOS scale (3:2:1 step ratio). This is demonstrated in Bryan Deister's 18edo improv (2025).

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Added: Lucius Chiaraviglio (talk) 05:44, 25 September 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 20:57, 27 September 2025 (UTC)

32edo (demonstrated to work)

A pseudo-isomorphic pseudo-diatonic mapping for 32edo that duplicates note 0 as note 32 in a mapping taken from 33edo yields an alternate approach to diatonic playing, as demonstrated in 32edo improv (2025).

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Added: Lucius Chiaraviglio (talk) 06:14, 12 October 2025 (UTC)

42edo (demonstrated to work)

A pseudo-isomorphic pseudo-diatonic mapping for 42edo that duplicates note 0 (as note 18) enables diatonic playing while keeping octaves level — it is the 43edo diatonic layout, but with only 42 unique notes per octave. Bryan Deister has demonstrated this mapping in 42edo groove (2025).

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Added: Lucius Chiaraviglio (talk) 20:58, 1 October 2025 (UTC)

52edo (demonstrated to work)

A version of the Pseudo-Pentacircle mapping for 52edo that duplicates note 0 (as note 52, as if making a layout for 53edo) keeps the octaves level. This is demonstrated in Bryan Deister's 52edo improv (2025).

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Added: Lucius Chiaraviglio (talk) 05:44, 25 September 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 07:27, 27 September 2025 (UTC)

61edo (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic mapping for 61edo in 61edo prelude (2025). This mapping retains a diatonic-style layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 61 is actually another note 0, so as to reset octave pitch down by half of ~81/80 (considerably deflated).

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Added: Lucius Chiaraviglio (talk) 08:21, 20 September 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:54, 21 September 2025 (UTC)

70edo (demonstrated to work)

Pseudo-Diatonic

Bryan Deister has demonstrated a pseudo-isomorphic mapping for 70edo in Improv in 70edo (2025) that uses one duplicated note in each octave to achieve a pseudo-diatonic layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 70 is actually another note 0, so as to reset octave pitch down by ~81/80 (moderately deflated).

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Added: Lucius Chiaraviglio (talk) 08:09, 20 September 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 20:42, 1 October 2025 (UTC)

Pseudo-Antidiatonic

Bryan Deister has demonstrated a pseudo-isomorphic mapping for 70edo in 70edo prelude (2025) that uses three duplicated notes in each octave to achieve a pseudo-antidiatonic layout. Notes 70, 71, and 72 are duplicates of 0, 1, and 2, respectively; of these, the ones appearing on the layout are 0 and 70, 1, and 72. Playing as on a true antidiatonic layout results in a 1L₁ 1L₂ 5s MODMOS having a step ratio of 21:14:9.

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Added: Lucius Chiaraviglio (talk) 06:46, 30 September 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 20:42, 1 October 2025 (UTC)

87edo (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic mapping for 87edo in 87edo waltz (2025). This mapping retains a diatonic-style layout for ease of access to common consonant intervals, although it does not include all the notes of the tuning system. Each note 87 is actually another note 0, so as to reset octave pitch down by half of ~81/80 (moderately inflated).

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Added: Lucius Chiaraviglio (talk) 08:00, 20 September 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:54, 21 September 2025 (UTC)

91edo (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic mapping for 91edo in microtonal improvisation in 91edo (2025). This layout is numbered as for 92edo, but note 91 is actually a duplicate of note 0. The range is just one note short of 3 full octaves, with octaves sloping down gently, unlike the fully isomorphic version, which avoids the interruption from the duplicated note 0 and has slightly greater range, but at the cost of greater (and opposite) octave slope and a vertical wraparound of note 0 with ascending octaves (as well as producing a discontinuity in scales). This mapping has the same generators as the fully isomorphic version, as described below.

0

9

5

14

23

32

41

1

10

19

28

37

46

55

64

6

15

24

33

42

51

60

69

78

87

4

2

11

20

29

38

47

56

65

74

83

0

9

18

27

7

16

25

34

43

52

61

70

79

88

5

14

23

32

41

50

59

3

12

21

30

39

48

57

66

75

84

1

10

19

28

37

46

55

64

73

82

8

17

26

35

44

53

62

71

80

89

6

15

24

33

42

51

60

69

78

87

4

13

22

4

13

22

31

40

49

58

67

76

85

2

11

20

29

38

47

56

65

74

83

0

9

18

27

36

45

18

27

36

45

54

63

72

81

90

7

16

25

34

43

52

61

70

79

88

5

14

23

32

41

50

59

68

77

41

50

59

68

77

86

3

12

21

30

39

48

57

66

75

84

1

10

19

28

37

46

55

64

73

82

73

82

91

8

17

26

35

44

53

62

71

80

89

6

15

24

33

42

51

60

69

78

87

4

13

22

31

40

49

58

67

76

85

2

11

20

29

38

47

56

65

74

83

36

45

54

63

72

81

90

7

16

25

34

43

52

61

70

79

88

59

68

77

86

3

12

21

30

39

48

57

66

75

84

91

8

17

26

35

44

53

62

71

80

89

22

31

40

49

58

67

76

85

54

63

72

81

90

77

86

Added: Lucius Chiaraviglio (talk) 16:02, 4 June 2025 (UTC)
Moved here from User:Lucius_Chiaraviglio/Keyboard_Layout_Lab/Various_other_Lumatone_mappings: Lucius Chiaraviglio (talk) 07:32, 20 September 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 05:47, 6 November 2025 (UTC)

101edo (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for 101edo in 101edo improv (2025). This layout is numbered as for 102edo, but note 101 (which does not appear here due to missing notes) is actually a duplicate of note 0. Note that the colors in this video are scrambled; however, the sound is recognizably diatonic even though this is not a true diatonic layout for 101edo.

90

4

101

15

31

47

63

96

10

26

42

58

74

90

4

5

21

37

53

69

85

101

15

31

47

63

0

16

32

48

64

80

96

10

26

42

58

74

90

4

11

27

43

59

75

91

5

21

37

53

69

85

101

15

31

47

63

6

22

38

54

70

86

0

16

32

48

64

80

96

10

26

42

58

74

90

4

17

33

49

65

81

97

11

27

43

59

75

91

5

21

37

53

69

85

101

15

31

47

63

12

28

44

60

76

92

6

22

38

54

70

86

0

16

32

48

64

80

96

10

26

42

58

74

90

4

39

55

71

87

1

17

33

49

65

81

97

11

27

43

59

75

91

5

21

37

53

69

85

101

15

31

47

63

82

98

12

28

44

60

76

92

6

22

38

54

70

86

0

16

32

48

64

80

96

10

26

42

58

74

39

55

71

87

1

17

33

49

65

81

97

11

27

43

59

75

91

5

21

37

53

69

85

82

98

12

28

44

60

76

92

6

22

38

54

70

86

0

16

32

48

64

80

39

55

71

87

1

17

33

49

65

81

97

11

27

43

59

75

91

82

98

12

28

44

60

76

92

6

22

38

54

70

86

39

55

71

87

1

17

33

49

65

81

97

82

98

12

28

44

60

76

92

39

55

71

87

1

82

98

Added: Lucius Chiaraviglio (talk) 05:47, 6 November 2025 (UTC)

MOS and MODMOS Subset Lumatone Mappings

These work like the pseudo-isomorphic mappings above, but with the additional consideration of deliberately using non-coprime generators on all axes to take a MOS or MODMOS subset of their tuning systems.

31edo (2 mappings demonstrated to work)

Right-up 15L 1s MOS subset pseudo-antidiatonic

For playing strictly in the Valentine 15L 1s scale (with no accidentals), it is possible to map just the Valentine scale by multiplying the antidiatonic mapping for 16edo by 2 and treating note 31 as a duplicate note 0 (which never actually appears). Bryan Deister has demonstrated this in 16 tone improv (31edo) (2025). This gives back the range of just under five completely level octaves, and would even allow for division into multiple manuals.

16

20

22

26

30

2

6

24

28

0

4

8

12

16

20

30

2

6

10

14

18

22

26

30

2

6

0

4

8

12

16

20

24

28

0

4

8

12

16

20

6

10

14

18

22

26

30

2

6

10

14

18

22

26

30

2

6

8

12

16

20

24

28

0

4

8

12

16

20

24

28

0

4

8

12

16

20

14

18

22

26

30

2

6

10

14

18

22

26

30

2

6

10

14

18

22

26

30

2

6

16

20

24

28

0

4

8

12

16

20

24

28

0

4

8

12

16

20

24

28

0

4

8

12

16

20

26

30

2

6

10

14

18

22

26

30

2

6

10

14

18

22

26

30

2

6

10

14

18

22

26

30

2

6

8

12

16

20

24

28

0

4

8

12

16

20

24

28

0

4

8

12

16

20

24

28

0

4

8

12

26

30

2

6

10

14

18

22

26

30

2

6

10

14

18

22

26

30

2

6

10

14

18

8

12

16

20

24

28

0

4

8

12

16

20

24

28

0

4

8

12

16

20

26

30

2

6

10

14

18

22

26

30

2

6

10

14

18

22

26

8

12

16

20

24

28

0

4

8

12

16

20

24

28

26

30

2

6

10

14

18

22

26

30

2

8

12

16

20

24

28

0

4

26

30

2

6

10

8

12

Added to official Lumatone mapping for 31edo page: Lucius Chiaraviglio (talk) 04:15, 30 October 2025 (UTC)<
Copied here: Lucius Chiaraviglio (talk) 07:35, 1 November 2025 (UTC)

Down-right 15L 1s MOS subset pseudo-slendric

Continuing with the concept of only accessing every other note of 31edo (again with a hidden note 31 that duplicates note 0), rotating the Valentine 15L 1s scale to run down-right (instead of right-up) makes for easy playing of diatonic-sounding phrases (although with a rightward generator of 6\31, this is actually more like Slendric), while in a fairly compact layout having a range of over five octaves which slope mildly upwards. Bryan Deister has demonstrated this in 31edo prelude (2025).

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 07:35, 1 November 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 21:09, 2 November 2025 (UTC)

75edo (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for 75edo in 75edo improv (2025) that deliberately uses non-coprime generators on all axes with the numbering of 76edo to use a subset of 75edo to make 19 non-equal divisions of the octave in the form of a 18L 1s MOS scale with a 4:3 step ratio. Note 75 is actually a duplicate of note 0; due to missing notes, it does not actually appear here.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 10:31, 26 October 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 06:47, 28 October 2025 (UTC)

92edo (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for 92edo in 92edo waltz (2025) that deliberately uses non-coprime generators on all axes to use a subset of 92edo to make 31 non-equal divisions of the octave in the form of a 30L 1s MOS scale with a 3:2 step ratio. This layout is numbered as for 93edo, but note 92 is actually a duplicate of note 0; due to missing notes, it does not actually appear here.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 07:46, 27 September 2025 (UTC)
Last modified: Lucius Chiaraviglio (talk) 05:55, 30 September 2025 (UTC)

94edo (demonstrated to work)

Bryan Deister has demonstrated a pseudo-isomorphic pseudo-diatonic mapping for 94edo in Twinleaf Town - Pokémon Diamond and Pearl (microtonal cover in 94edo) (2026) that takes a 19 note subset supporting an almost-diatonic scale with a 15:10 step ratio overall, but with one of the steps (which one depends upon choice of root note) always being shortened by 1\94. This layout is numbered as for 95edo and laid out as for 19edo, with the potential for two complete manuals and one incomplete manual, with note 94 (which is one of the missing notes) actually being a duplicate of note 0.

Template:Lumatone EDO mapping

Added: Lucius Chiaraviglio (talk) 11:13, 1 March 2026 (UTC)