Depends heavily on whether we're measuring in practical terms, or in "no medical intervention" terms.

If we're measuring in a vacuum without medicine, then absolutely, the measles is dramatically more infectious.

If we're measuring in the real world where medicine exists, the measles has a safe, cheap and effective vaccine. New case rates dropped 76% between 2000 and 2018 due to extensive vaccination campaigns, and new cases of the measles globally sits a hair below TB right now. The WHO has a plan to eradicate it (and rubella) just like polio.

Meanwhile TB is now the leading cause of infectious death in the world, and the WHO estimates 1 in 4 people globally have either active or latent TB. Despite having similar new case numbers, TB kills 13 people for every 1 person the measles does.

I would describe a disease that 1 in 4 people globally have and is the world's leading cause of death as "shockingly infectious". I doubt it is the most infectious, but I think shockingly infectious is apt.

> i lived with someone infected with TB.

If they were latent, no one would expect you to have contracted TB. Latent TB isn't infectious. If they had active TB, I would personally get tested for latent TB. Not showing symptoms isn't dispositive of contracting TB, it can lay dormant for a long time or forever. I'm not saying you would definitely have contracted it enough, but the odds are high enough and risks serious enough that I'd want it treated before it became active.