Sometimes the best way to understand something is to try to put it inside
your own frame of reference.
The book of Psalms is a compilation of poetry written at various times and places by a bare minimum of eight different
godly men with diverse personalities and interests.
Some were theologians writing poetry, and some were probably poets writing
theology. This means, as you would expect, that there are psalms with obvious
and ornate structures (Psalm 119 comes to mind, where the letters of the
Hebrew alphabet start each section of the psalm), as well as others that appear
to be structured very simply (Psalm 15 is a single question and its
answer) or have very little noticeable structure at all (Psalm 117, for
example, is so brief that any analysis of its structure is near-pointless).
Pattern recognition is more useful in some passages of
scripture than in others. Psalm 107 is definitely structured.