What's the difference between a mutex and a semaphore?

What's the difference between a mutex and a semaphore?
A mutex is owned by a thread/process. So once a thread locks it, then other threads/processes will either spin or block on the mutex. Whereas, semaphore allows one or more threads/processes to share the resource.
Mutex is binary semaphore

Semaphore implementation

Semaphore implementation
typedef struct
{
int value;
struct process* list;
} semaphore;

wait(semaphore S)
{
s.value—
if(s.value<0)
{
put the process p in S.list
block;//busy waiting, in the waiting list, not consume the cpu time
}
}

signal(semaphore S)
{
s.value++;
if(s.value<=0)
{
remove the process p from s.l;
wakeup(p);//in the ready list
}
}
The wait signal and wait process should be atomic, so in the one processor condition, we disable the interrupt during signal and wait