"It'll be a modified L shape ..." Please show a plan drawing of it.

"The pool [deck] on the other hand, we'd really like more modern." Explain what that means to you. How do we recognize your interpretation of "more modern"?

"I really don't want the concrete around the pool to look like the patio concrete as I don't like the patio all that much." Before moving forward, I think we need to understand why you think what you think. How/why does the existing patio not meet your expectations?

Instead of showing us just a piece of your patio, you need to show the overall view. This would be done by standing at one spot with the camera, and taking a series of slightly overlapping pictures that pan from far left to far right. We can't see your house but I'm going to guess that the best place to locate the camera is near the center of the back wall of the house, with your back next to the wall. You should pan widely enough that part of the house shows in the first and last pictures. If your patio is not near the center of the house, but more toward one end, for the photos take a step or two in that direction.

Here is a quick sketch of kind of what the pool layout will be. As far as modern, I mean a minimalist style with very clean and straight lines. I'm just worried that it will clash with the rounded edges of the patio.

Our inside of the house is much more mid century modern and the patio is just kind of blah looking. Maybe it's partially because the yard has no landscaping yet.

I'll try to get some more pictures of the whole yard in a bit when I'm home.

True ... it can be tricky working with rounded patterns such as the corners of your existing patio. But the answer is not to ignore them and go radically different because of fear and a present dislike. It is to be more careful in coordinating the new with the old. But the only way this is possible is by working in plan view, which would give an ACCURATE picture of what exists. Presently, we have no idea. I would add that it's high risk to incorporate a radically different style immediately next to an existing style. It's not impossible as Pei's pyramid in front of the Louvre demonstrates. But are we looking for something that different and willing to take the chance? For every attempt at doing that, I'm sure there are many failures or less than stellar results. It would be more reasonable to presume that we're not all world class architects and shoot for something compatible and in the same family. And then, in regards to your statement, "Maybe it's [the patio appearance] partially because the yard has no landscaping yet." Let me add some punctuation ... !!!!! Absolutely! It's impossible to be thrilled with a patio that is surrounded on all sides by veritable barren wasteland.

From your sketch and description it seems the two are close but not adjacent. By putting green between the two in either synthetic lawn or real lawn you do disguise the two different styles. Its a trick we use when we put old concrete next to new concrete to separate the two colors and sometimes styles. Also if you put matching square planters on the corners of the curving patio it can distract from the curves because it will pull the eye up from the patio.