grand
ɡrand/
adjective
1.
magnificent and imposing in appearance, size, or style.
"a grand country house"
synonyms: magnificent, imposing, impressive, awe-inspiring, splendid, resplendent, majestic, monumental; More
2.
denoting the largest or most important item of its kind.
"the grand entrance"
synonyms: main, principal, central, prime; More
noun
1.
informal
a thousand dollars or pounds.
"he gets thirty-five grand a year"
synonyms: thousand dollars; More
2.
a grand piano.
If you want to be technically correct, then grande means large in its native language.
me·di·um
ˈmēdēəm/Submit
noun
1.
an agency or means of doing something.
"using the latest technology as a medium for job creation"
synonyms: means, method, way, form, agency, avenue, channel, vehicle, organ, instrument, mechanism
"using technology as a medium for job creation"
2.
the intervening substance through which impressions are conveyed to the senses or a force acts on objects at a distance.
"radio communication needs no physical medium between the two stations"
adjective
1.
about halfway between two extremes of size or another quality; average.
"John is six feet tall, of medium build"
synonyms: average, middling, medium-sized, middle-sized, midsize, moderate, normal, standard
"medium height"
Now, stop with the pretentious bullshit. I also like how they're copying Maserati's naming convention. Instead of calling it a 20 ounce drink, they call it "venti". Or, in the case of Maserati, "quattroporte" - 4 doors.