Logic Pro 7: Notes appear in the next measure

In Score Editor, a note that you expect to appear at the end of a particular bar may appear instead at the beginning of the next bar, especially with very short notes.

To correct the score display, change the note position to a full bar (in the Matrix Editor or in the note parameters in the Score Editor). If you don't want to change the note position of the performance, set the quantize grid for the Score Editor to a finer value.

Why this happens
Logic uses a display quantization for the Score Editor. If a MIDI sequence has been recorded from live playing, the timing between the live instrument and the sequencer's tempo may not precisely synchronize. To create a readable score out of such a performance, Logic applies a dedicated display quantization to the MIDI data before displaying it as a score.

If a note lies between two quantization grid points, it will be displayed on the next available grid position. Therefore, depending on the note position and the quantize grid set in the Score window, some notes may appear in the next bar, when they are actually positioned in the previous one.