That’s actually not how it works. MIDI clock resolution is finer than that, actually when your arpeggio starts off-beat it’s still clocking on the MIDI-clock-raster. What actually happens on other machines is, that it resets the arp on MIDI clock start and only counting every nth-clock-tick to the resolution of the arp. The standard MIDI clock ticks 24 times every quarter note so e.g. if you have set the ARP to play 16th notes, a note will sound every 6 clock ticks.
Back to topic: with arps on the Ak/A4 you probably have two usecases: 1) the arp is gated by the sequencer, 2) the arp is gated live via the keyboard
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Can be solved with quantisation as described above. One can also use this to fake-quantise live sequencing, by staying in rec mode and p-lock the chords on the first trig, yet one would have to set note lengths in advance and it isn’t very intuitive to play.
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would require an upgrade from Elektron so the ARP would get quantised to the values of the ARP’s clock setting.
Btw. the Arturia Minibrute does this quite well, both in ARP and sequencer mode. Even if you switch the ARP/Seq off in between. The BSII on the other hand miserably fails to properly sync to any external clock, rendering the ARP/Seq usless besides being a nice scratch pad for stand-alone noodling…