The Dyad is stated at "24 mm" on Velocity's website, yet it's a bit narrower than the Mavic A-719 which is also 24 mm wide (exterior width).

You certainly can use 28 mm tires (real width) on the Dyad, but smaller than that would be a little bit tight. With narrower tires, you would risk scratching the rim if you fall in a crack i the pavement.
At the other extreme, I found that 37 mm tires (real width) work, yet look a bit wide on the Dyad. They look – and work – better on Mavic A-719 rims.

As for the Deep-V rim, it seems to be designed for 23-28 mm tires. 32 mm tires (real width) would be the widest possible.