Garbage: When you clear lines, you send garbage to the opponent
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Messy/Clean: The cleaner the board is means how little chaos is on the board: Smooth top, 1 Well only, the stack doesn't cover holes, the more the opposite is true, the messier the board is, and if the garbage lines you get from your opponent are unclean, thats called cheese
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CT4: Count to 4, as in Count to 4 lines for a Tetris
6-3, 7-2, 9-0 etc.: This Term is for the width of stacks on the board e.g.: 6-3 means you have 6 rows of blocks, 1 free one and then 3 filled rows