P-traps in parallel - sink and dishwasher

[OwenF]

Been wracking my brains on how to pipe this waste. Have a dishwasher between the sink and the stack. I want to use a standpipe for the dishwasher rather than the little appliance spigots.

I only ever see the standpipes on the end of a run (probably for a reason). I understand I can't put a trap 'in series' with the sink, as the two will pull on each other. 

Can I do the below, having the standpipe on a parallel branch, then 'tees' (or more to point, Y and 45deg) into the main branch just before the stack?

length of main branch is ~1.5m. The Y would be about 0.5m from the stack

Edited August 20, 2024 by OwenF
added lengths

[Conor]

Why aren't you putting the dishwater waste in to the sink trap? You can go a couple of metres with the outlet hoses.

[OwenF]

See above, don't want to use the appliance spigots on the sink trap. Reason: 1) want to avoid messy hoses in sink cupboard and 2) want to mitigate gurgling noise associated with them 

[dpmiller]

put the DW drain hose straight onto a spigot on the branch. The DW is trapped in itself and the vented stack will ensure no gurgling.