Is there a particular measure and rhyme scheme?

There really isn't one, what you need to look at are the Words that are used to make it seem dirge. It's a person own style for things such as rhyme and structure.

For example of choice of Words look at Seamus Heaney's poem of first stanza

I sat all morning in the college sick bay
Counting bells knelling classes to a close.
At two o'clock our neighbors drove me home.

sick bay is an unpleasant place
knelling bells are for funerals
parents didn't pick you up so something must have happened