In obsolete terms the difference between band and bound
is that
band is pledge; security while
bound is ready, prepared.
In intransitive terms the difference between band and bound
is that
band is to group together for a common purpose; to confederate while
bound is to leap, move by jumping.
As nouns the difference between band and bound
is that
band is a strip of material used for strengthening or coupling while
bound is a boundary, the border which one must cross in order to enter or leave a territory.
As verbs the difference between band and bound
is that
band is to fasten with a band while
bound is past tense of bind.
As an adjective bound is
obliged (to).