TG-Music Number Puzzle

This is the mystery number puzzle we played in school in the 1990s. So far I have not found any solid sources for this game.

This game has very simple rules.

First number (number 1) can be placed anywhere on the grid. After that, you are allowed to add subsequent numbers in following ways:
Horizontally and vertically you have to skip over two squares. Diagonally you have to jump over one square. Try to fill the whole grid.

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