for v1rtu0s1ty - a different(!) sort of layout....
I was out taking some pictures in the backyard today and thought maybe these would interest you as an illustration of a rather different layout than is usual - the 'negative space' (i.e. lawn) is a very prominent element because it has a distinct shape rather than being the residual after the bedrs are shaped. It's the calm green heart of the garden where yours eyes (and body!) can rest while you look at the detailed plantings that surround it. It is perhaps a more 'severe' shape than would suit many people and the rectangle is a bit too long relative to its width to be ideal. The path around the sides does emphasize the rectangle a bit more than if the beds came out to the edge of the lawn. I'm disabled so the path makes access easier for me, plus it's an effective barrier to grass moving ito the beds. At all times of year and from all viewing points, the layout is both striking and pleasing to us and to graden visitors here. An oval, or ellipse, or kidney shape, or even an wide meandering green river of grass could be equally effective if they suit your space. The particular shape is less relevant than the making of a specific, identifiably purposeful shape that arrests your attention and provides a feeling of order to balance the 'chaos' of the plantings surrounding it - that's my opinion anyway....!
Two views from the living room window:
From the back porch:
Same view two weeks ago when the white redbud was blooming in the back, north side:
Looking towards the south:
Looking north along the path at the back of the house:
Under the pines across the west side, to the north of the shed:
The path in the picture above exits to the right of the shed as seen here:
A plan view of the bed layout in the backyard garden:
The big old white ash completely shades the backyard so the backyard is my 'green garden' since green and white are the dominant colors.
This sort of thing might not be what you're looking for but perhaps it can give you an idea of what one alternative could be.....