Any true bass doubling, I use an Eb contra clarinet for.
In my post, I meant "bass" in the sense of "electric" or "upright". I may not have been clear.
The bari matches the cello or trombone, which aren't exactly "bass" instruments, but, well, baritone or tenor (strings: bass, cello, viola, violin; brass: tuba, trombone [or baritone horn], french horn [or alto horn], trumpet). I've remarked that an Eb contrabass sax can sound like a C tuba.
In the case of the contra clarinets, they just don't have enough power and poor projection. The Bb contrabass clarinet adds texture, but it's a sound that you feel more than you hear. In other words, it's great for an orchestra because they're all about texture. Somewhat iffy for band.
Now, I'm a vocalist. I'm a
bass. My range is from the C two ledger lines below the bass clef staff to the C in the middle of the treble clef staff (A to A is more comfortable for me, tho; yes, I've sung tenor on occasion). I think my voice has a sounding range more like a bari sax than a tuba.
Just more fun on names and approximate ranges.