Yeah, I'm in that situation too.
Generally, that's just called "Wide range" They don't place anybody in that register, in a choral situation especially.
If you're doing solo work, they will occasionally place a singer in a song that's up and down the scale, but there's no specific voice register for that. It's just called having a wide range.
If you're talking choral situations, a director will find the place in your vocal register where you are most comfortable, and can belt your notes loudest and clearest.
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