Question about tide and moon phases

So I know and roughly understand that the moon position effecting gravitational pull on earth's water, both bodies of water and ground water.

My question is, does the change between neap tide and spring tide change gradually through the weeks btw the phases or is tide height relatively stable btw these tides and only changed during neap and spring tides? Measurements aside, just trying to explain my question in case I was incoherent... is it 1in gain daily from neap to spring tide (or increasing 1 cm, then 2cm, then gaining by 3cm) or is it tidal height same daily and then sudden increase by 2ft on spring tide and sudden decrease in height by 2ft on neap tide?

Or I guess another way to ask is, does the moons gravitational pull on earth hold steady throughout its movement in exception of full and quarter moon? Or does the gravitational pull slowly ebb and flow throughout the moons phases?

Thank you for any professional help!