User:Inthar/List of ternary parallelogram scales

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Revision as of 22:00, 1 January 2026 by Inthar (talk | contribs) (Created page with "Parallelogram-shaped (parallelogram substring with full first and last rows) MOS-substitution scales for scale sizes from 6 to 36 == 6 note scales == * scale: LLmLLs, row_count: 2, full_row_len: 3, lattice basis: gx: [3, 1, 1], gy: [2, 0, 1] == 8 note scales == * scale: LmLsmLms, row_count: 2, full_row_len: 4, lattice basis: gx: [2, 2, 1], gy: [2, 1, 1] * scale: LmLmLmLs, row_count: 2, full_row_len: 4, lattice basis: gx: [3, 2, 1], gy: [1, 0, 0] * sc...")
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Parallelogram-shaped (parallelogram substring with full first and last rows) MOS-substitution scales for scale sizes from 6 to 36

6 note scales

  • scale: LLmLLs, row_count: 2, full_row_len: 3, lattice basis: gx: [3, 1, 1], gy: [2, 0, 1]

8 note scales

  • scale: LmLsmLms, row_count: 2, full_row_len: 4, lattice basis: gx: [2, 2, 1], gy: [2, 1, 1]
  • scale: LmLmLmLs, row_count: 2, full_row_len: 4, lattice basis: gx: [3, 2, 1], gy: [1, 0, 0]
  • scale: LLLmLLLs, row_count: 2, full_row_len: 4, lattice basis: gx: [5, 1, 1], gy: [3, 0, 1]

9 note scales

  • scale: LLmsLmLsm, row_count: 3, full_row_len: 3, lattice basis: gx: [2, 1, 1], gy: [1, 1, 1]
  • scale: LLmLLmLLs, row_count: 3, full_row_len: 3, lattice basis: gx: [5, 2, 1], gy: [4, 1, 1]

10 note scales

  • scale: LmLsmLsLms, row_count: 2, full_row_len: 5, lattice basis: gx: [1, 1, 1], gy: [2, 2, 1]
  • scale: LmLmLsLmLs, row_count: 2, full_row_len: 5, lattice basis: gx: [3, 2, 1], gy: [4, 3, 2]
  • scale: LLLLmLLLLs, row_count: 2, full_row_len: 5, lattice basis: gx: [7, 1, 1], gy: [4, 0, 1]

12 note scales

  • scale: LmLmLsmLmLms, row_count: 2, full_row_len: 6, lattice basis: gx: [3, 3, 1], gy: [3, 2, 1]
  • scale: LmLmLmLmLmLs, row_count: 2, full_row_len: 6, lattice basis: gx: [5, 4, 1], gy: [1, 0, 0]
  • scale: LLLmLLLmLLLs, row_count: 3, full_row_len: 4, lattice basis: gx: [8, 2, 1], gy: [6, 1, 1]
  • scale: LLLLLmLLLLLs, row_count: 2, full_row_len: 6, lattice basis: gx: [9, 1, 1], gy: [5, 0, 1]

14 note scales

  • scale: LmLsmLsmLmsLms, row_count: 2, full_row_len: 7, lattice basis: gx: [4, 4, 3], gy: [3, 2, 2]
  • scale: LmLmLsLmLsLmLs, row_count: 2, full_row_len: 7, lattice basis: gx: [5, 3, 2], gy: [6, 4, 3]
  • scale: LmLmLmLsLmLmLs, row_count: 2, full_row_len: 7, lattice basis: gx: [4, 3, 1], gy: [6, 5, 2]
  • scale: LLmLsLmLLsLmLs, row_count: 2, full_row_len: 7, lattice basis: gx: [3, 1, 1], gy: [4, 2, 1]
  • scale: LLLLLLmLLLLLLs, row_count: 2, full_row_len: 7, lattice basis: gx: [11, 1, 1], gy: [6, 0, 1]

15 note scales

  • scale: LLmsLmsLmLsmLsm, row_count: 3, full_row_len: 5, lattice basis: gx: [1, 1, 1], gy: [3, 2, 2]
  • scale: LLmLsLmLLsmLLms, row_count: 3, full_row_len: 5, lattice basis: gx: [2, 1, 1], gy: [3, 1, 1]
  • scale: LLmLLmsLmLLmLsm, row_count: 3, full_row_len: 5, lattice basis: gx: [3, 2, 1], gy: [4, 2, 1]
  • scale: LLmLmLLsLmLLmLs, row_count: 3, full_row_len: 5, lattice basis: gx: [4, 2, 1], gy: [6, 3, 1]
  • scale: LLmLLmLLsLLmLLs, row_count: 3, full_row_len: 5, lattice basis: gx: [6, 2, 1], gy: [1, 0, 0]

16 note scales

  • scale: LmLsmLsmLsLmsLms, row_count: 2, full_row_len: 8, lattice basis: gx: [1, 1, 1], gy: [3, 3, 2]
  • scale: LmLmLmLsmLmLmLms, row_count: 2, full_row_len: 8, lattice basis: gx: [4, 4, 1], gy: [4, 3, 1]
  • scale: LmLmLsLmLmLsLmLs, row_count: 2, full_row_len: 8, lattice basis: gx: [5, 3, 2], gy: [1, 0, 0]
  • scale: LmLmLmLmLmLmLmLs, row_count: 2, full_row_len: 8, lattice basis: gx: [7, 6, 1], gy: [1, 0, 0]
  • scale: LLLmsLLmLsLmLLsm, row_count: 4, full_row_len: 4, lattice basis: gx: [7, 3, 2], gy: [6, 3, 2]
  • scale: LLmLLsLmLLsLLmLs, row_count: 2, full_row_len: 8, lattice basis: gx: [3, 1, 1], gy: [5, 2, 1]
  • scale: LLLmLLLmLLLmLLLs, row_count: 4, full_row_len: 4, lattice basis: gx: [11, 3, 1], gy: [9, 2, 1]
  • scale: LLLLLLLmLLLLLLLs, row_count: 2, full_row_len: 8, lattice basis: gx: [13, 1, 1], gy: [7, 0, 1]

18 note scales

  • scale: LmLmsLmLsmLmLsmLms, row_count: 2, full_row_len: 9, lattice basis: gx: [5, 5, 3], gy: [4, 3, 2]
  • scale: LmLsLmLsmLsLmLsLms, row_count: 2, full_row_len: 9, lattice basis: gx: [3, 2, 2], gy: [4, 3, 2]
  • scale: LmLmLsLmLsLmLsLmLs, row_count: 2, full_row_len: 9, lattice basis: gx: [7, 4, 3], gy: [8, 5, 4]
  • scale: LmLmLmLmLsLmLmLmLs, row_count: 2, full_row_len: 9, lattice basis: gx: [5, 4, 1], gy: [8, 7, 2]
  • scale: LLmLLsmLLmLsLmLLms, row_count: 3, full_row_len: 6, lattice basis: gx: [6, 3, 2], gy: [7, 3, 2]
  • scale: LLmLLmLLmLLmLLmLLs, row_count: 6, full_row_len: 3, lattice basis: gx: [11, 5, 1], gy: [10, 4, 1]
  • scale: LLLLLmLLLLLmLLLLLs, row_count: 3, full_row_len: 6, lattice basis: gx: [14, 2, 1], gy: [10, 1, 1]
  • scale: LLLLLLLLmLLLLLLLLs, row_count: 2, full_row_len: 9, lattice basis: gx: [15, 1, 1], gy: [8, 0, 1]

20 note scales

  • scale: LmLsmLsmLsmLmsLmsLms, row_count: 2, full_row_len: 10, lattice basis: gx: [6, 6, 5], gy: [4, 3, 3]
  • scale: LLmsLmLsLmLsmLLsmLms, row_count: 4, full_row_len: 5, lattice basis: gx: [2, 1, 1], gy: [3, 2, 2]
  • scale: LLmLmsLmLmLsmLmLLmsm, row_count: 5, full_row_len: 4, lattice basis: gx: [7, 6, 2], gy: [6, 5, 2]
  • scale: LmLmLmLmLsmLmLmLmLms, row_count: 2, full_row_len: 10, lattice basis: gx: [5, 5, 1], gy: [5, 4, 1]
  • scale: LmLmLmLsLmLmLsLmLmLs, row_count: 2, full_row_len: 10, lattice basis: gx: [7, 5, 2], gy: [9, 7, 3]
  • scale: LmLmLmLmLmLmLmLmLmLs, row_count: 2, full_row_len: 10, lattice basis: gx: [9, 8, 1], gy: [1, 0, 0]
  • scale: LLLmLsLmLLLmsLLmLLsm, row_count: 4, full_row_len: 5, lattice basis: gx: [7, 3, 2], gy: [8, 3, 2]
  • scale: LLLmLLsLLmLLLsLLmLLs, row_count: 2, full_row_len: 10, lattice basis: gx: [5, 1, 1], gy: [7, 2, 1]
  • scale: LLLmLLLmLLLsLLLmLLLs, row_count: 4, full_row_len: 5, lattice basis: gx: [9, 2, 1], gy: [1, 0, 0]
  • scale: LLLmLLLmLLLmLLLmLLLs, row_count: 5, full_row_len: 4, lattice basis: gx: [14, 4, 1], gy: [12, 3, 1]
  • scale: LLLLLLLLLmLLLLLLLLLs, row_count: 2, full_row_len: 10, lattice basis: gx: [17, 1, 1], gy: [9, 0, 1]

21 note scales

  • scale: LLmsLmsLmsLmLsmLsmLsm, row_count: 3, full_row_len: 7, lattice basis: gx: [1, 1, 1], gy: [4, 3, 3]
  • scale: LmLmLsmLmLsLmmLsLmLms, row_count: 3, full_row_len: 7, lattice basis: gx: [2, 2, 1], gy: [3, 3, 1]
  • scale: LLmsLLmsLmLsLmLsmLLsm, row_count: 3, full_row_len: 7, lattice basis: gx: [8, 5, 4], gy: [7, 4, 3]
  • scale: LLmLsmLLmsLmLLmsLmLsm, row_count: 3, full_row_len: 7, lattice basis: gx: [7, 5, 3], gy: [5, 4, 2]
  • scale: LLmLLmLLmsLmLLmLLmLsm, row_count: 3, full_row_len: 7, lattice basis: gx: [5, 3, 1], gy: [6, 3, 1]
  • scale: LLmLLmLLsLLmLLsLLmLLs, row_count: 7, full_row_len: 3, lattice basis: gx: [1, 0, 0], gy: [10, 3, 2]
  • scale: LLmLLmLLmLLsLLmLLmLLs, row_count: 3, full_row_len: 7, lattice basis: gx: [8, 3, 1], gy: [1, 0, 0]
  • scale: LLLmLLmLLLsLLmLLLmLLs, row_count: 3, full_row_len: 7, lattice basis: gx: [7, 2, 1], gy: [10, 3, 1]

22 note scales

  • scale: LmLsmLsmLsmLsLmsLmsLms, row_count: 2, full_row_len: 11, lattice basis: gx: [1, 1, 1], gy: [4, 4, 3]
  • scale: LmLmLsmLmLsmLmLmsLmLms, row_count: 2, full_row_len: 11, lattice basis: gx: [7, 7, 3], gy: [5, 4, 2]
  • scale: LmLmLsLmLsLmLsLmLsLmLs, row_count: 2, full_row_len: 11, lattice basis: gx: [9, 5, 4], gy: [10, 6, 5]
  • scale: LmLmLsLmLmLsLmLmLsLmLs, row_count: 2, full_row_len: 11, lattice basis: gx: [8, 5, 3], gy: [1, 0, 0]
  • scale: LmLmLmLsLmLmLmLsLmLmLs, row_count: 2, full_row_len: 11, lattice basis: gx: [7, 5, 2], gy: [1, 0, 0]
  • scale: LmLmLmLmLmLsLmLmLmLmLs, row_count: 2, full_row_len: 11, lattice basis: gx: [6, 5, 1], gy: [10, 9, 2]
  • scale: LLmLsLmLsLmLLsLmLsLmLs, row_count: 2, full_row_len: 11, lattice basis: gx: [5, 2, 2], gy: [6, 3, 2]
  • scale: LLLmLLLsLLmLLLsLLLmLLs, row_count: 2, full_row_len: 11, lattice basis: gx: [5, 1, 1], gy: [8, 2, 1]
  • scale: LLLLLLLLLLmLLLLLLLLLLs, row_count: 2, full_row_len: 11, lattice basis: gx: [19, 1, 1], gy: [10, 0, 1]

24 note scales

  • scale: LmLsLmsLmLsmLsLmLsmLsLms, row_count: 2, full_row_len: 12, lattice basis: gx: [3, 2, 2], gy: [5, 4, 3]
  • scale: LLmsLmLmsLmLsmLmLsmLLmsm, row_count: 3, full_row_len: 8, lattice basis: gx: [2, 2, 1], gy: [3, 3, 2]
  • scale: LmLmLmLmLmLsmLmLmLmLmLms, row_count: 2, full_row_len: 12, lattice basis: gx: [6, 6, 1], gy: [6, 5, 1]
  • scale: LmLmLsLmLsLmLmLsLmLsLmLs, row_count: 2, full_row_len: 12, lattice basis: gx: [7, 4, 3], gy: [1, 0, 0]
  • scale: LmLmLmLmLmLmLmLmLmLmLmLs, row_count: 2, full_row_len: 12, lattice basis: gx: [11, 10, 1], gy: [1, 0, 0]
  • scale: LLmLsLLmLsLmLLsLmLLsLmLs, row_count: 2, full_row_len: 12, lattice basis: gx: [3, 1, 1], gy: [7, 3, 2]
  • scale: LLmLLmLsLmLLmLLsmLLmLLms, row_count: 3, full_row_len: 8, lattice basis: gx: [4, 2, 1], gy: [5, 2, 1]
  • scale: LLLmLsLLmLLsLmLLLsmLLLms, row_count: 4, full_row_len: 6, lattice basis: gx: [12, 4, 3], gy: [11, 4, 3]
  • scale: LLmLLmLLsLLmLLmLLsLLmLLs, row_count: 8, full_row_len: 3, lattice basis: gx: [15, 5, 3], gy: [10, 3, 2]
  • scale: LLLmLLLmLLLmLLLmLLLmLLLs, row_count: 6, full_row_len: 4, lattice basis: gx: [17, 5, 1], gy: [15, 4, 1]
  • scale: LLLLLmLLLLLmLLLLLmLLLLLs, row_count: 4, full_row_len: 6, lattice basis: gx: [19, 3, 1], gy: [15, 2, 1]
  • scale: LLLLLLLmLLLLLLLmLLLLLLLs, row_count: 3, full_row_len: 8, lattice basis: gx: [20, 2, 1], gy: [14, 1, 1]
  • scale: LLLLLLLLLLLmLLLLLLLLLLLs, row_count: 2, full_row_len: 12, lattice basis: gx: [21, 1, 1], gy: [11, 0, 1]

25 note scales

  • scale: LmLmsLmLsmLmLsmLsLmmLsLms, row_count: 5, full_row_len: 5, lattice basis: gx: [8, 7, 5], gy: [7, 6, 4]
  • scale: LLmLsmLLmsLmLLsmLmLsLmLms, row_count: 5, full_row_len: 5, lattice basis: gx: [7, 5, 3], gy: [9, 6, 4]
  • scale: LLmLmLsmLmLLmLmsLmLmLLmsm, row_count: 5, full_row_len: 5, lattice basis: gx: [7, 6, 2], gy: [8, 7, 2]
  • scale: LLmLmLLsLmLLsLmLLmLsLLmLs, row_count: 5, full_row_len: 5, lattice basis: gx: [7, 3, 2], gy: [12, 5, 3]
  • scale: LLmLmLLmLmLLsLmLLmLmLLmLs, row_count: 5, full_row_len: 5, lattice basis: gx: [9, 5, 1], gy: [7, 4, 1]
  • scale: LLLLmsLLLmLsLLmLLsLmLLLsm, row_count: 5, full_row_len: 5, lattice basis: gx: [3, 1, 1], gy: [4, 1, 1]
  • scale: LLLLmLLLLmLLLLsLLLLmLLLLs, row_count: 5, full_row_len: 5, lattice basis: gx: [12, 2, 1], gy: [1, 0, 0]
  • scale: LLLLmLLLLmLLLLmLLLLmLLLLs, row_count: 5, full_row_len: 5, lattice basis: gx: [19, 4, 1], gy: [16, 3, 1]

26 note scales

  • scale: LmLsmLsmLsmLsmLmsLmsLmsLms, row_count: 2, full_row_len: 13, lattice basis: gx: [8, 8, 7], gy: [5, 4, 4]
  • scale: LmLmLmsLmLmLsmLmLmLsmLmLms, row_count: 2, full_row_len: 13, lattice basis: gx: [8, 8, 3], gy: [6, 5, 2]
  • scale: LmLsLmLsLmLsmLsLmLsLmLsLms, row_count: 2, full_row_len: 13, lattice basis: gx: [5, 3, 3], gy: [6, 4, 3]
  • scale: LmLmLsLmLsLmLsLmLsLmLsLmLs, row_count: 2, full_row_len: 13, lattice basis: gx: [11, 6, 5], gy: [12, 7, 6]
  • scale: LmLmLsLmLmLsLmLsLmLmLsLmLs, row_count: 2, full_row_len: 13, lattice basis: gx: [8, 5, 3], gy: [12, 8, 5]
  • scale: LmLmLmLsLmLmLsLmLmLsLmLmLs, row_count: 2, full_row_len: 13, lattice basis: gx: [10, 7, 3], gy: [12, 9, 4]
  • scale: LmLmLmLmLsLmLmLmLsLmLmLmLs, row_count: 2, full_row_len: 13, lattice basis: gx: [9, 7, 2], gy: [12, 10, 3]
  • scale: LmLmLmLmLmLmLsLmLmLmLmLmLs, row_count: 2, full_row_len: 13, lattice basis: gx: [7, 6, 1], gy: [12, 11, 2]
  • scale: LLmLLsLmLLsLmLLsLLmLsLLmLs, row_count: 2, full_row_len: 13, lattice basis: gx: [3, 1, 1], gy: [8, 3, 2]
  • scale: LLLLmLLLsLLLmLLLLsLLLmLLLs, row_count: 2, full_row_len: 13, lattice basis: gx: [7, 1, 1], gy: [10, 2, 1]
  • scale: LLLLLLLLLLLLmLLLLLLLLLLLLs, row_count: 2, full_row_len: 13, lattice basis: gx: [23, 1, 1], gy: [12, 0, 1]

27 note scales

  • scale: LLmsLmsLmsLmsLmLsmLsmLsmLsm, row_count: 3, full_row_len: 9, lattice basis: gx: [1, 1, 1], gy: [5, 4, 4]
  • scale: LmLmLsLmmLsLmLmLsmLmLsLmLms, row_count: 3, full_row_len: 9, lattice basis: gx: [5, 4, 2], gy: [8, 7, 3]
  • scale: LLmLsLmLsLmLLsmLLsmLLmsLLms, row_count: 3, full_row_len: 9, lattice basis: gx: [2, 1, 1], gy: [5, 2, 2]
  • scale: LLmLLmsLmLLmsLmLLmLsmLLmLsm, row_count: 3, full_row_len: 9, lattice basis: gx: [3, 2, 1], gy: [7, 4, 2]
  • scale: LLmLmLsLmLLmLsLmLmLLsLmLmLs, row_count: 3, full_row_len: 9, lattice basis: gx: [4, 2, 1], gy: [5, 3, 1]
  • scale: LLmLLmLLsmLLmLLmLsLmLLmLLms, row_count: 9, full_row_len: 3, lattice basis: gx: [11, 5, 2], gy: [10, 5, 2]
  • scale: LLmLLmLLmLLmsLmLLmLLmLLmLsm, row_count: 3, full_row_len: 9, lattice basis: gx: [7, 4, 1], gy: [8, 4, 1]
  • scale: LLmLLmLLsLLmLLsLLmLLsLLmLLs, row_count: 9, full_row_len: 3, lattice basis: gx: [1, 0, 0], gy: [14, 4, 3]
  • scale: LLmLLmLLmLLmLLsLLmLLmLLmLLs, row_count: 9, full_row_len: 3, lattice basis: gx: [1, 0, 0], gy: [10, 4, 1]
  • scale: LLmLLmLLmLLmLLmLLmLLmLLmLLs, row_count: 9, full_row_len: 3, lattice basis: gx: [17, 8, 1], gy: [16, 7, 1]
  • scale: LLLLmLLLmLLLLsLLLmLLLLmLLLs, row_count: 3, full_row_len: 9, lattice basis: gx: [10, 2, 1], gy: [14, 3, 1]
  • scale: LLLLLLLLmLLLLLLLLmLLLLLLLLs, row_count: 3, full_row_len: 9, lattice basis: gx: [23, 2, 1], gy: [16, 1, 1]

28 note scales

  • scale: LmLsmLsmLsmLsmLsLmsLmsLmsLms, row_count: 2, full_row_len: 14, lattice basis: gx: [1, 1, 1], gy: [5, 5, 4]
  • scale: LmLmsLmLmsLmLsmLmLsmLmLsmLms, row_count: 2, full_row_len: 14, lattice basis: gx: [9, 9, 5], gy: [6, 5, 3]
  • scale: LLmsLmLsmLLsmLmsLmLsLmLsmLms, row_count: 4, full_row_len: 7, lattice basis: gx: [7, 5, 4], gy: [8, 6, 5]
  • scale: LmLmLmLmLmLmLsmLmLmLmLmLmLms, row_count: 2, full_row_len: 14, lattice basis: gx: [7, 7, 1], gy: [7, 6, 1]
  • scale: LmLmLsLmLmLsLmLmLsLmLmLsLmLs, row_count: 2, full_row_len: 14, lattice basis: gx: [11, 7, 4], gy: [1, 0, 0]
  • scale: LmLmLmLmLsLmLmLmLmLsLmLmLmLs, row_count: 2, full_row_len: 14, lattice basis: gx: [9, 7, 2], gy: [1, 0, 0]
  • scale: LmLmLmLmLmLmLmLmLmLmLmLmLmLs, row_count: 2, full_row_len: 14, lattice basis: gx: [13, 12, 1], gy: [1, 0, 0]
  • scale: LLLmsLLmsLLmLsLmLsLmLLsmLLsm, row_count: 4, full_row_len: 7, lattice basis: gx: [2, 1, 1], gy: [5, 2, 2]
  • scale: LLLmsLmLLsmLLmLsLmLLmsLLmLsm, row_count: 7, full_row_len: 4, lattice basis: gx: [11, 6, 4], gy: [9, 5, 3]
  • scale: LLmLmLmLLsLmLmLLmLsLmLLmLmLs, row_count: 4, full_row_len: 7, lattice basis: gx: [5, 3, 1], gy: [12, 7, 2]
  • scale: LLmLLsLLmLLsLmLLsLLmLLsLLmLs, row_count: 2, full_row_len: 14, lattice basis: gx: [7, 2, 2], gy: [9, 3, 2]
  • scale: LLLmLLLmsLLmLLLmLsLmLLLmLLsm, row_count: 4, full_row_len: 7, lattice basis: gx: [13, 5, 2], gy: [12, 5, 2]
  • scale: LLLmLLLmLLLsLLLmLLLsLLLmLLLs, row_count: 7, full_row_len: 4, lattice basis: gx: [1, 0, 0], gy: [15, 3, 2]
  • scale: LLLmLLLmLLLmLLLsLLLmLLLmLLLs, row_count: 4, full_row_len: 7, lattice basis: gx: [12, 3, 1], gy: [1, 0, 0]
  • scale: LLLmLLLmLLLmLLLmLLLmLLLmLLLs, row_count: 7, full_row_len: 4, lattice basis: gx: [20, 6, 1], gy: [18, 5, 1]
  • scale: LLLLmLLLLsLLLmLLLLsLLLLmLLLs, row_count: 2, full_row_len: 14, lattice basis: gx: [7, 1, 1], gy: [11, 2, 1]
  • scale: LLLLLLLLLLLLLmLLLLLLLLLLLLLs, row_count: 2, full_row_len: 14, lattice basis: gx: [25, 1, 1], gy: [13, 0, 1]

30 note scales

  • scale: LmLsmLmsLmLsmLsmLmsLmLsmLmsLms, row_count: 2, full_row_len: 15, lattice basis: gx: [7, 7, 5], gy: [6, 5, 4]
  • scale: LmLmLmLsmLmLmLsmLmLmLmsLmLmLms, row_count: 2, full_row_len: 15, lattice basis: gx: [10, 10, 3], gy: [7, 6, 2]
  • scale: LLmsLLmsLmLsmLLsmLLmsLmLsLmLsm, row_count: 10, full_row_len: 3, lattice basis: gx: [9, 6, 5], gy: [8, 5, 4]
  • scale: LmLmLsLmLsLmLsLmLsLmLsLmLsLmLs, row_count: 2, full_row_len: 15, lattice basis: gx: [13, 7, 6], gy: [14, 8, 7]
  • scale: LmLmLmLsLmLmLmLsLmLmLmLsLmLmLs, row_count: 2, full_row_len: 15, lattice basis: gx: [11, 8, 3], gy: [1, 0, 0]
  • scale: LmLmLmLmLmLmLmLsLmLmLmLmLmLmLs, row_count: 2, full_row_len: 15, lattice basis: gx: [8, 7, 1], gy: [14, 13, 2]
  • scale: LLmLsLmLsLmLsLmLLsLmLsLmLsLmLs, row_count: 2, full_row_len: 15, lattice basis: gx: [7, 3, 3], gy: [8, 4, 3]
  • scale: LLmLLmLLmLLsLLmLLmLLsLLmLLmLLs, row_count: 10, full_row_len: 3, lattice basis: gx: [1, 0, 0], gy: [14, 5, 2]
  • scale: LLLLLmLLLLLmLLLLLsLLLLLmLLLLLs, row_count: 6, full_row_len: 5, lattice basis: gx: [15, 2, 1], gy: [1, 0, 0]
  • scale: LLLLLmLLLLLmLLLLLmLLLLLmLLLLLs, row_count: 5, full_row_len: 6, lattice basis: gx: [24, 4, 1], gy: [20, 3, 1]

32 note scales

  • scale: LmLsmLsmLsmLsmLsmLmsLmsLmsLmsLms, row_count: 2, full_row_len: 16, lattice basis: gx: [10, 10, 9], gy: [6, 5, 5]
  • scale: LmLmLsmLmLsmLmLsmLmLmsLmLmsLmLms, row_count: 2, full_row_len: 16, lattice basis: gx: [11, 11, 5], gy: [7, 6, 3]
  • scale: LmLsLmLsmLsLmLsmLsLmLsLmsLmLsLms, row_count: 2, full_row_len: 16, lattice basis: gx: [3, 2, 2], gy: [7, 5, 4]
  • scale: LLmsLLmsLmLsLmLsLmLsmLLsmLLsmLms, row_count: 4, full_row_len: 8, lattice basis: gx: [13, 8, 7], gy: [10, 6, 5]
  • scale: LLmLmsLmLLmsmLLmLsmLmLLmsLmLmLsm, row_count: 4, full_row_len: 8, lattice basis: gx: [9, 7, 3], gy: [11, 9, 4]
  • scale: LmLmLmLmLmLmLmLsmLmLmLmLmLmLmLms, row_count: 2, full_row_len: 16, lattice basis: gx: [8, 8, 1], gy: [8, 7, 1]
  • scale: LmLmLsLmLsLmLsLmLmLsLmLsLmLsLmLs, row_count: 2, full_row_len: 16, lattice basis: gx: [9, 5, 4], gy: [1, 0, 0]
  • scale: LmLmLmLsLmLmLsLmLmLsLmLmLsLmLmLs, row_count: 2, full_row_len: 16, lattice basis: gx: [13, 9, 4], gy: [15, 11, 5]
  • scale: LmLmLmLmLmLsLmLmLmLmLsLmLmLmLmLs, row_count: 2, full_row_len: 16, lattice basis: gx: [11, 9, 2], gy: [15, 13, 3]
  • scale: LmLmLmLmLmLmLmLmLmLmLmLmLmLmLmLs, row_count: 2, full_row_len: 16, lattice basis: gx: [15, 14, 1], gy: [1, 0, 0]
  • scale: LLmLsLmLLsLmLsLmLLsLmLsLLmLsLmLs, row_count: 2, full_row_len: 16, lattice basis: gx: [5, 2, 2], gy: [9, 4, 3]
  • scale: LLmLLmLmLLsLLmLmLLmLLsLmLLmLLmLs, row_count: 4, full_row_len: 8, lattice basis: gx: [7, 3, 1], gy: [15, 7, 2]
  • scale: LLLmLLLsmLLLmLLsLmLLLmLsLLmLLLms, row_count: 8, full_row_len: 4, lattice basis: gx: [5, 2, 1], gy: [6, 2, 1]
  • scale: LLLmLLLmLsLmLLLmLLLmsLLmLLLmLLsm, row_count: 8, full_row_len: 4, lattice basis: gx: [14, 5, 2], gy: [13, 5, 2]
  • scale: LLLmLLsLLmLLsLLmLLLsLLmLLsLLmLLs, row_count: 2, full_row_len: 16, lattice basis: gx: [9, 2, 2], gy: [11, 3, 2]
  • scale: LLLmLLLmLLLsLLLmLLLmLLLsLLLmLLLs, row_count: 8, full_row_len: 4, lattice basis: gx: [23, 5, 3], gy: [15, 3, 2]
  • scale: LLLmLLLmLLLmLLLmLLLmLLLmLLLmLLLs, row_count: 8, full_row_len: 4, lattice basis: gx: [23, 7, 1], gy: [21, 6, 1]
  • scale: LLLLLmLLLLsLLLLmLLLLLsLLLLmLLLLs, row_count: 2, full_row_len: 16, lattice basis: gx: [9, 1, 1], gy: [13, 2, 1]
  • scale: LLLLLLLmLLLLLLLmLLLLLLLmLLLLLLLs, row_count: 4, full_row_len: 8, lattice basis: gx: [27, 3, 1], gy: [21, 2, 1]
  • scale: LLLLLLLLLLLLLLLmLLLLLLLLLLLLLLLs, row_count: 2, full_row_len: 16, lattice basis: gx: [29, 1, 1], gy: [15, 0, 1]

33 note scales

  • scale: LLmsLmsLmsLmsLmsLmLsmLsmLsmLsmLsm, row_count: 3, full_row_len: 11, lattice basis: gx: [1, 1, 1], gy: [6, 5, 5]
  • scale: LLmsLmLsmLLmsLmsLmLsmLLmsLmLsmLsm, row_count: 3, full_row_len: 11, lattice basis: gx: [5, 4, 3], gy: [7, 5, 4]
  • scale: LLmsLmLmsLmLsmLLmsmLLmsLmLsmLmLsm, row_count: 3, full_row_len: 11, lattice basis: gx: [8, 7, 4], gy: [9, 8, 5]
  • scale: LLmsLLmsLLmsLmLsLmLsLmLsmLLsmLLsm, row_count: 3, full_row_len: 11, lattice basis: gx: [14, 8, 7], gy: [11, 6, 5]
  • scale: LLmLsmLLmLsmLLmsLmLLmsLmLLmsLmLsm, row_count: 3, full_row_len: 11, lattice basis: gx: [13, 9, 5], gy: [8, 6, 3]
  • scale: LLmLmLsLmLmLLsLmLmLsLmLLmLsLmLmLs, row_count: 3, full_row_len: 11, lattice basis: gx: [7, 4, 2], gy: [12, 7, 3]
  • scale: LLmLLmLsmLLmLLmsLmLLmLLmsLmLLmLsm, row_count: 3, full_row_len: 11, lattice basis: gx: [13, 8, 3], gy: [9, 6, 2]
  • scale: LLmLLmLLmLsLmLLmLLmLLsmLLmLLmLLms, row_count: 3, full_row_len: 11, lattice basis: gx: [6, 3, 1], gy: [7, 3, 1]
  • scale: LLmLLmLLmLLmLLmsLmLLmLLmLLmLLmLsm, row_count: 3, full_row_len: 11, lattice basis: gx: [9, 5, 1], gy: [10, 5, 1]
  • scale: LLmLLmLLsLmLLmLLsLLmLmLLsLLmLLmLs, row_count: 3, full_row_len: 11, lattice basis: gx: [5, 2, 1], gy: [7, 3, 1]
  • scale: LLmLLmLLsLLmLLsLLmLLsLLmLLsLLmLLs, row_count: 11, full_row_len: 3, lattice basis: gx: [1, 0, 0], gy: [18, 5, 4]
  • scale: LLmLLmLLsLLmLLmLLsLLmLLmLLsLLmLLs, row_count: 11, full_row_len: 3, lattice basis: gx: [21, 7, 4], gy: [16, 5, 3]
  • scale: LLmLLmLLmLLsLLmLLmLLmLLsLLmLLmLLs, row_count: 11, full_row_len: 3, lattice basis: gx: [21, 8, 3], gy: [14, 5, 2]
  • scale: LLmLLmLLmLLmLLmLLsLLmLLmLLmLLmLLs, row_count: 11, full_row_len: 3, lattice basis: gx: [1, 0, 0], gy: [12, 5, 1]
  • scale: LLLLLmLLLLmLLLLLsLLLLmLLLLLmLLLLs, row_count: 3, full_row_len: 11, lattice basis: gx: [13, 2, 1], gy: [18, 3, 1]

34 note scales

  • scale: LmLsmLsmLsmLsmLsmLsLmsLmsLmsLmsLms, row_count: 2, full_row_len: 17, lattice basis: gx: [1, 1, 1], gy: [6, 6, 5]
  • scale: LmLmsLmLsmLmsLmLsmLmLsmLmsLmLsmLms, row_count: 2, full_row_len: 17, lattice basis: gx: [8, 8, 5], gy: [7, 6, 4]
  • scale: LmLmLmLmsLmLmLmLsmLmLmLmLsmLmLmLms, row_count: 2, full_row_len: 17, lattice basis: gx: [11, 11, 3], gy: [8, 7, 2]
  • scale: LmLsLmLsLmLsLmLsmLsLmLsLmLsLmLsLms, row_count: 2, full_row_len: 17, lattice basis: gx: [7, 4, 4], gy: [8, 5, 4]
  • scale: LmLmLsLmLsLmLsLmLsLmLsLmLsLmLsLmLs, row_count: 2, full_row_len: 17, lattice basis: gx: [15, 8, 7], gy: [16, 9, 8]
  • scale: LmLmLsLmLsLmLmLsLmLsLmLmLsLmLsLmLs, row_count: 2, full_row_len: 17, lattice basis: gx: [12, 7, 5], gy: [1, 0, 0]
  • scale: LmLmLsLmLmLsLmLmLsLmLmLsLmLmLsLmLs, row_count: 2, full_row_len: 17, lattice basis: gx: [14, 9, 5], gy: [1, 0, 0]
  • scale: LmLmLmLsLmLmLsLmLmLmLsLmLmLsLmLmLs, row_count: 2, full_row_len: 17, lattice basis: gx: [10, 7, 3], gy: [1, 0, 0]
  • scale: LmLmLmLmLsLmLmLmLsLmLmLmLsLmLmLmLs, row_count: 2, full_row_len: 17, lattice basis: gx: [13, 10, 3], gy: [16, 13, 4]
  • scale: LmLmLmLmLmLsLmLmLmLmLmLsLmLmLmLmLs, row_count: 2, full_row_len: 17, lattice basis: gx: [11, 9, 2], gy: [1, 0, 0]
  • scale: LmLmLmLmLmLmLmLmLsLmLmLmLmLmLmLmLs, row_count: 2, full_row_len: 17, lattice basis: gx: [9, 8, 1], gy: [16, 15, 2]
  • scale: LLmLsLLmLsLLmLsLmLLsLmLLsLmLLsLmLs, row_count: 2, full_row_len: 17, lattice basis: gx: [3, 1, 1], gy: [10, 4, 3]
  • scale: LLLmLLsLLLmLLsLLmLLLsLLmLLLsLLmLLs, row_count: 2, full_row_len: 17, lattice basis: gx: [5, 1, 1], gy: [12, 3, 2]
  • scale: LLLLLmLLLLLsLLLLmLLLLLsLLLLLmLLLLs, row_count: 2, full_row_len: 17, lattice basis: gx: [9, 1, 1], gy: [14, 2, 1]
  • scale: LLLLLLLLLLLLLLLLmLLLLLLLLLLLLLLLLs, row_count: 2, full_row_len: 17, lattice basis: gx: [31, 1, 1], gy: [16, 0, 1]

35 note scales

  • scale: LmLmsLmLsmLsLmmLsLmsLmLsmLmLsmLsLms, row_count: 5, full_row_len: 7, lattice basis: gx: [8, 7, 5], gy: [5, 4, 3]
  • scale: LmLmLsmLsLmLmsLmLsLmmLsLmLsmLmLsLms, row_count: 5, full_row_len: 7, lattice basis: gx: [4, 3, 2], gy: [6, 5, 3]
  • scale: LLmLmsLmLmsLmLmLsmLmLsmLmLLmsmLLmsm, row_count: 5, full_row_len: 7, lattice basis: gx: [2, 2, 1], gy: [5, 5, 2]
  • scale: LLmLsmLmLsLmLmsLmLLsmLmLsmLLmsLmLms, row_count: 5, full_row_len: 7, lattice basis: gx: [7, 5, 3], gy: [4, 3, 2]
  • scale: LLmLmLmsLmLmLmLsmLmLmLLmsmLmLLmLmsm, row_count: 7, full_row_len: 5, lattice basis: gx: [3, 3, 1], gy: [4, 4, 1]
  • scale: LLmLmLsLmLmLLsmLmLLmsLmLLmLsmLLmLms, row_count: 5, full_row_len: 7, lattice basis: gx: [15, 10, 4], gy: [11, 7, 3]
  • scale: LLmLmLLmLmsLmLmLLmLmLsmLmLLmLmLLmsm, row_count: 5, full_row_len: 7, lattice basis: gx: [5, 4, 1], gy: [6, 5, 1]
  • scale: LLLmsLLmLsLLmLsLmLLsLmLLsmLLLsmLLms, row_count: 5, full_row_len: 7, lattice basis: gx: [3, 1, 1], gy: [5, 2, 2]
  • scale: LLmLmLsLLmLsLmLLmLsLmLLsLmLmLLsLmLs, row_count: 7, full_row_len: 5, lattice basis: gx: [4, 2, 1], gy: [7, 3, 2]
  • scale: LLmLmLmLLmLsLmLLmLmLmLLsLmLmLLmLmLs, row_count: 5, full_row_len: 7, lattice basis: gx: [7, 4, 1], gy: [8, 5, 1]
  • scale: LLmLmLLsLmLLsLmLLsLmLLmLsLLmLsLLmLs, row_count: 7, full_row_len: 5, lattice basis: gx: [10, 4, 3], gy: [18, 7, 5]
  • scale: LLmLmLLmLsLLmLmLLsLmLLmLmLLsLmLLmLs, row_count: 5, full_row_len: 7, lattice basis: gx: [15, 7, 3], gy: [11, 5, 2]
  • scale: LLmLmLLmLmLLmLmLLsLmLLmLmLLmLmLLmLs, row_count: 5, full_row_len: 7, lattice basis: gx: [12, 7, 1], gy: [10, 6, 1]
  • scale: LLLLmLsLLLmLLsLLmLLLsLmLLLLsmLLLLms, row_count: 5, full_row_len: 7, lattice basis: gx: [4, 1, 1], gy: [5, 1, 1]
  • scale: LLLLmLLsLmLLLLmLsLLmLLLLmsLLLmLLLsm, row_count: 7, full_row_len: 5, lattice basis: gx: [18, 5, 3], gy: [17, 5, 3]
  • scale: LLLmLLmLLLsLLmLLLsLLmLLLmLLsLLLmLLs, row_count: 5, full_row_len: 7, lattice basis: gx: [12, 3, 2], gy: [20, 5, 3]
  • scale: LLLmLLmLLLmLLmLLLsLLmLLLmLLmLLLmLLs, row_count: 5, full_row_len: 7, lattice basis: gx: [12, 4, 1], gy: [15, 5, 1]
  • scale: LLLLmLLLLmLLLLsLLLLmLLLLsLLLLmLLLLs, row_count: 7, full_row_len: 5, lattice basis: gx: [1, 0, 0], gy: [20, 3, 2]
  • scale: LLLLmLLLLmLLLLmLLLLsLLLLmLLLLmLLLLs, row_count: 5, full_row_len: 7, lattice basis: gx: [16, 3, 1], gy: [1, 0, 0]
  • scale: LLLLLLmLLLLLLmLLLLLLsLLLLLLmLLLLLLs, row_count: 5, full_row_len: 7, lattice basis: gx: [1, 0, 0], gy: [18, 2, 1]

36 note scales

  • scale: LmLsmLmsLmsLmLsmLsmLmsLmLsmLsmLmsLms, row_count: 2, full_row_len: 18, lattice basis: gx: [9, 9, 7], gy: [7, 6, 5]
  • scale: LmLsmLsLmsLmLsmLsmLsLmsLmLsmLsLmsLms, row_count: 2, full_row_len: 18, lattice basis: gx: [5, 4, 4], gy: [7, 6, 5]
  • scale: LmLmLsmLmLsmLmLsLmmLsLmmLsLmLmsLmLms, row_count: 3, full_row_len: 12, lattice basis: gx: [2, 2, 1], gy: [5, 5, 2]
  • scale: LmLmLmLsmLmLmLsLmmLmLsLmLmmLsLmLmLms, row_count: 4, full_row_len: 9, lattice basis: gx: [3, 3, 1], gy: [4, 4, 1]
  • scale: LmLmLmLmLmLmLmLmLsmLmLmLmLmLmLmLmLms, row_count: 2, full_row_len: 18, lattice basis: gx: [9, 9, 1], gy: [9, 8, 1]
  • scale: LmLmLsLmLmLsLmLsLmLmLsLmLsLmLmLsLmLs, row_count: 2, full_row_len: 18, lattice basis: gx: [13, 8, 5], gy: [17, 11, 7]
  • scale: LmLmLmLsLmLmLmLsLmLmLsLmLmLmLsLmLmLs, row_count: 2, full_row_len: 18, lattice basis: gx: [11, 8, 3], gy: [17, 13, 5]
  • scale: LmLmLmLmLmLmLmLmLmLmLmLmLmLmLmLmLmLs, row_count: 2, full_row_len: 18, lattice basis: gx: [17, 16, 1], gy: [1, 0, 0]
  • scale: LLLmsLLLmsLLmLsLLmLsLmLLsLmLLsmLLLsm, row_count: 4, full_row_len: 9, lattice basis: gx: [18, 7, 6], gy: [16, 6, 5]
  • scale: LLmLmLLsLmLmLLsLmLLmLsLmLLmLsLLmLmLs, row_count: 3, full_row_len: 12, lattice basis: gx: [4, 2, 1], gy: [14, 7, 3]
  • scale: LLmLLsLmLLsLmLLsLmLLsLLmLsLLmLsLLmLs, row_count: 2, full_row_len: 18, lattice basis: gx: [3, 1, 1], gy: [11, 4, 3]
  • scale: LLmLLmLLmLLsmLLmLLmLLmLsLmLLmLLmLLms, row_count: 12, full_row_len: 3, lattice basis: gx: [15, 7, 2], gy: [14, 7, 2]
  • scale: LLmLLmLLsLLmLLsLLmLLmLLsLLmLLsLLmLLs, row_count: 3, full_row_len: 12, lattice basis: gx: [14, 4, 3], gy: [23, 7, 5]
  • scale: LLmLLmLLmLLmLLmLLmLLmLLmLLmLLmLLmLLs, row_count: 12, full_row_len: 3, lattice basis: gx: [23, 11, 1], gy: [22, 10, 1]
  • scale: LLLLLmsLLLLmLsLLLmLLsLLmLLLsLmLLLLsm, row_count: 6, full_row_len: 6, lattice basis: gx: [21, 5, 4], gy: [20, 5, 4]
  • scale: LLLmLLLsLLmLLLsLLmLLLsLLLmLLsLLLmLLs, row_count: 2, full_row_len: 18, lattice basis: gx: [5, 1, 1], gy: [13, 3, 2]
  • scale: LLLmLLLmLLLsLLLmLLLsLLLmLLLsLLLmLLLs, row_count: 9, full_row_len: 4, lattice basis: gx: [1, 0, 0], gy: [21, 4, 3]
  • scale: LLLmLLLmLLLmLLLmLLLsLLLmLLLmLLLmLLLs, row_count: 9, full_row_len: 4, lattice basis: gx: [1, 0, 0], gy: [15, 4, 1]
  • scale: LLLmLLLmLLLmLLLmLLLmLLLmLLLmLLLmLLLs, row_count: 9, full_row_len: 4, lattice basis: gx: [26, 8, 1], gy: [24, 7, 1]
  • scale: LLLLLmLLLLLmLLLLLmLLLLLmLLLLLmLLLLLs, row_count: 6, full_row_len: 6, lattice basis: gx: [29, 5, 1], gy: [25, 4, 1]
  • scale: LLLLLLLLmLLLLLLLLmLLLLLLLLmLLLLLLLLs, row_count: 4, full_row_len: 9, lattice basis: gx: [31, 3, 1], gy: [24, 2, 1]
  • scale: LLLLLLLLLLLmLLLLLLLLLLLmLLLLLLLLLLLs, row_count: 3, full_row_len: 12, lattice basis: gx: [32, 2, 1], gy: [22, 1, 1]
  • scale: LLLLLLLLLLLLLLLLLmLLLLLLLLLLLLLLLLLs, row_count: 2, full_row_len: 18, lattice basis: gx: [33, 1, 1], gy: [17, 0, 1]
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