Yeah, that sounds like the normal spin-up & seek sounds of a healthy drive.
The extended sound when you first turn on the drive is a normal internal seek test. It seems like the larger these drives get, the more thorough the self test gets, meaning a lot more noise.
And the rest of it all sounds like whatever test you're running is doing different kinds of seek tests (random full disk seek, seeks to specific positions , and the like), then starts doing a sequential transfer test -- hence the drive starting off making such a racket, then being quiet as the test slowly proceeds.
Some drives are just louder than others. See if CDan's suggestion to put the drive on something soft (to absorb some of the vibration) helps make the noise more bearable. Or you might end up trying a drive from a different brand, though I expect them all to be somewhat noisy.