You probably are looking for something like the CDPATH shell variable.
The CDPATH variable acts like PATH but for the cd command.
Setting with something like
CDPATH=".:~:~/projects:~/music"
would allow you to say
cd ricky_martin
anywhere, and it would go through the :-separated directory paths in the $CDPATH value in order until it found a subdirectory called ricky_martin somewhere (possibly ~/music/ricky_martin) and then cd there.
Likewise
cd world_domination
may take you to ~/projects/world_domination if there is such a subdirectory. If world_domination also existed in the current directory, this directory would be selected first as it occurs earlier in $CDPATH (the dot in the first position).
It would also be allowed to do
cd proj1/tests
from anywhere to get to ~/projects/proj1/tests if such a directory existed (with the above $CDPATH value, unless proj/tests did not exist in the current directory or in your home directory).
Note that the CDPATH shell variable should not be exported as that may seriously confuse some scripts.
The CDPATH variable is documented in the bash manual (man bash):
CDPATH
The search path for the cd command. This is a colon-separated
list of directories in which the shell looks for destination
directories specified by the cd command. A sample value is
".:~:/usr".
sourcesuch a script, you can't make the changes reflect in the parent shell