Thanks for sharing, i do a similar interval exercise every day, by going down the sax in this order from middle B

B
B A
B G
B F
B E
B D
B C

and then back up to middle B

C B
D B
E B
F B
G B
A B
B

The reason i do this exercise is as a fingering exercise (most of the time, i don’t even need to blow into the sax) , to check that my fingers are staying close to the keys and not wildly coming off them,

and also to check that as a new finger presses down on a new key, the rest of the fingers on BOTH hands don’t move.