Logic Masters Deutschland e.V.

Construct a valid Twelve-tone matrix by placing the digits 0-11 (10 = T, 11 = E, settings -> enable letter tool in CTC) once in each row and column.

Twelve-Tone
Row 1, read left to right, is the Prime Row.

Transposition and inversion are Mod-12, so numbers 'wrap around' the clock i.e., 8+4=0 and 1-3=T
Each row is a "musical" transposition of the Prime Row, keeping the 'interval,' or distance between each digit the same but shifting the starting value. (e.g., if your prime row is 1, 2, 4, 3... and row 7 starts on a 6, then row 7 is 6, 7, 9, 8...)

Each column is a "musical" inversion of the Prime Row, reversing the direction of the intervals but keeping the absolute distance the same. (e.g. the inversion of 1, 2, 4, 3... is 1, 0, T, E..., or if it is starts with 7 it is 7, 6, 4, 5...)

Additional Constraints
(sum clues are NOT Mod 12, e.g., a V clue can only be a 0/5, 1/4, or 2/3 pair)
Digits in same-colored cells are the same
Digits on a green line sum to an even number
Digits separated by an X sum to 10; digits separated by a V sum to 5 (if a clue is on the corner of a box, it sums all 4 adjacent digits)
Digits on a thermometer increase starting from the 'bulb'
Digits in a cage sum to the clue in the top left. Digits CAN repeat in cages.

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