'Mistakes' at higher tempi are usually attributable to a flaw in technique that is not readily apparent (but nontheless exists) at slower tempi. At slower tempo the flaw is hidden and seemingly insignificant. The most common flaw that only becomes apparent at higher tempi is synchronisation between left and right hands. Let me illustrate:
Imagine your left hand stopping (fretting) a note and your right hand plucking the string. Imagine that your right hand plucks the note 50ms (0.05s) after the left hand makes the stop, or that you lift off each note to move to the next one 50ms before the start of the next beat. Or both - that's a total of 0.1s of 'dead air'. This type of 'flaw' tends to remain constant no matter what the tempo - it is a practiced habit that is 'baked in'. It may not sound much, but...
Practicing at slow tempo allows you to detect and become aware of this dead time, and work on reducing it as much as possible. Play super-legato, giving each note as much of the full value as possible. To minimse the late start, aim to stop and pluck at exactly the same time. To reduce the early finish aim to keep the note stopped as long as possible and to lift off as late as possible.
- Imagine playing quarter notes at 60 BPM. Each note is 1 second in duration, but your technique means that each note sounds for 0.90s (0.05s for the late start and 0.05s for the early finish).
- Now play 1/16 notes at that tempo - each note is nominally 0.25s in duration, but thanks to the late start and early finish your note only sounds for 0.15s. That's 60% sound, 40% silence.
- Now double the tempo to 120BPM. Each 1/16th note has a nominal duration of 0.125s. But thanks to your late start and early finish you are actually only making a sound for 0.025s! Each 'note' is now 80% silence!
- At 150BPM it becomes 'critical'. The nominal duration of each 1/16th note is 0.1s. But your technique has a 'baked-in' dead time of 0.1s, which means you don't actually have any time to make any sound at all. If you try to make a sound you automatically become late for the next note.
Just a quick caveat - for most people the dead-time is nowhere near 0.1s, I just used these figures to make for simple arithmetic. But even if it was 0.05s total, your 16th at 150BPM would be 50/50 sound/silence, at which point you may as well be playing tuned percussion!!
This is a great, logical explanation, that I've never heard explained this way. Bravo!