Ok, so we all need to agree on where the "double" range is. I've been taught that since F# is the lowest natural note on the trumpet, it must be the first of the double range. So stop calling High Cs (double Cs), it makes an easy note sound really high. So the double range starts here at F#.
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Therefore the triple range starts at the next F# above that one. So let's all stop saying that we are busting triple Cs and Fs, it just doesn't sound right. Has anyone been taught any different on the issue? If so, write what you know, and we can come to common grounds about this.

Oh and I forgot. If you want a really awesome example of where the triple range actually starts, listen to the end of A Mis Abuelos by Arturo Sandoval where he totally busts a real triple F#. He is absolutely amazing. Catch him live if you get the chance. He's an all-around great musician.