With a band named Rest, some possible titles for songs or even albums:

_area
for the _ of us
cast of _
_ing
ag_
arm_
ad_
c_
imp_
up_
dyg_
p_ for time
long _
double whole _
whole _
half _
quarter _
eighth _
sixteenth _
thirty-second _
sixty-fourth _
under a_
d_
b_
car_
st_
@ _
_ test
modest _
protest _
grey test _
_ fest
best _

For a French feel:
reste
pause
demie-pause
soupir
demi-soupir
quart de soupir
repos

Etc.

My favorite is probably up-rest. Oppressive regimes and uprising.
Obviously, the symbol for whole rest (Unicode 1D13B) could serve as a logo.
Silly? Yeah, so?