I came across this expression and found on google that it is quite common, like in the example:
(subject) let out a cackle of laugh/laughter
I didn't find this usage in the dictionaries as idiomatic. Isn't it implicit that a cackle is a kind of laugh? The word "cackle" has only one meaning; there can't be a cackle of anything else, isn't there? To me, it sounds like someone saying "(subject) drank an orange juice of fruit". Is there a reason for this expression? Did I miss something?