root
c# e# g# major
c# e g# minor
c e g# augmented
--------------
cx e# g# dim
-------------------
first inversion
b# e g# major
b# e# g# min
b e# g# dim
b# e g# aug
second inversion
b# d# g# maj
b d# g# min
b d g# dim
b# dx g# aug