What I want to do while modeling is start at the Top Ortho view (NumPad 7) with green Y-axis pointed up and down on the screen. I then want to rotate the view left or right around my model, moving only the X & Z axis' while keeping the Y-axis vertical.
Ctrl Shift MMB
zooms the view in and out if the wheel is held down and the mouse moved. If the wheel is scrolled the view rotates around the Z-axis.
Going to view 3 and Alt Shift MMB
allows rotating around a Horizontal Y-axis.
Is there a way to rotate around a vertical Y-axis?


Numpad 7view (around Z axis), you can pressCtrl+Shift+MouseWheelfor that; the view will remain orthogonal. – Mr Zak Aug 20 '15 at 12:00