In Logic, each quarter note = 960 ppq
(below is a description/formula borrowed from Pro Tools)
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One tick = 60,000 / tempo / 960 (where 60,000 refers to the number of milliseconds in a minute)
If the tempo is 120 bpm, the duration of a tick is approximately 0.521 ms. Faster tempos yield shorter tick values, while slower tempos have longer values. In comparison, the space between two audio samples recorded at a sample rate of 44.1 kHz is 0.023 ms. A tick “slice” is longer than the distance between samples, so sample-based timing is more accurate in placing audio or MIDI events exactly where they were played. (Of course, if you speed up the tempo of the session to approximately 2,756 bpm, then the ticks would be as short as the distance between samples and yield the same accuracy in representing audio digitally.)
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