User:Inthar/List of ternary parallelogram scales: Difference between revisions

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Parallelogram-shaped (parallelogram substring with full first and last rows) [[MOS substitution|MOS-substitution]] scales for scale sizes from 6 to 36. Only axbycz for which a > b > c > 0 are shown.
Parallelogram-shaped (parallelogram substring with full first and last rows) scales for scale sizes from 6 to 36. Only axbycz for which a > b > c > 0 are shown.


It is conjectured that fully parallelogram scales are always MOS-substitution. This has been checked for sizes ≤ 15.
Ternary parallelogram scales are always MOS substitution. (Proof forthcoming)
== 6 notes ==
== 6 notes ==
* xyxyxz row_count: 2 full_row_len: 3, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]
* xyxyxz row_count: 2 full_row_len: 3, lattice basis: gx: [1, 0, 0], gy: [4, 1, 3]