Is there an architectural term for a window centered directly within the triangle that forms the pediment of a building?

There are several terms for this:

Bull's-eye
Oculus
Oeil-de-boeuf
Oxeye
Roundel

And a good illustration of a pediment with window here:
https://www.shutterstock.com/search/pedimented+windows

oeil-de-boeuf window

also called bull's-eye window; in architecture, a small circular or oval window, usually resembling a wheel, with glazing bars (bars framing the panes of glass) as spokes radiating outward from an empty hub, or circular centre. In French, oeil-de-boeuf means “eye of the steer.”
http://www.britannica.com/eb/article-9056796/oeil-de-boeuf-window

Oculus (pl. oculi) is the Latin word for eye, and the word remains in use in certain contexts, most commonly as the name of the round opening in the top of the dome of the Pantheon in Rome, Italy, and less often in reference to other round windows. The Oculus in the Pantheon is and has always been open to the weather, allowing rain to enter and fall to the floor, from where it is carried away through drains.
https://en.wikipedia.org/wiki/Oculus

McGruff gives examples which are all circular windows, and many pediments do indeed contain such shaped windows.
But a window in a pediment does not have to be circular. The illustration for the definition of pediment shows a a semicircular one for instance.
http://historicbuildingsct.com/?page_id=731
What is asked for is a word for a window in a certain position, ie within a pediment, rather than a certain shape. I confess I have failed to find such a word, unless it be a tympanum window.

Tympanum is the term for the flat, triangular or semi-circular surface of a pediment, so I suppose any shape of window placed there could be called a "tympanum window."
https://en.wikipedia.org/wiki/Tympanum_%28architecture%29

I thought that perhaps it had a specific name since it's a fairly common architectural feature-- around my part of the world, anyway-- and it bears a resemblance to the Eye of Providence ("deioculus," perhaps?):

https://en.wikipedia.org/wiki/Eye_of_providence

Guess it just goes by "tympanum window" or gable-window. Thanks for the help!