My first thought was that a lot of the music I grew up listening to follows the pattern Gothard recommends, including this IBLP-friendly song featuring a musician who performs in a coat and tie, and he's honoring his childhood school with the choice of outfit. What a nice young man--turns out he's a teetotaler and a family man, too. Notice that the lead singer also is wearing a hat--how nice! Let's sign them up for special music this Sunday, no?
Seriously, a look at the Hebrew language might say something a little bit more edifying than bringing up my misspent youth and my obvious mockery. Specifically, classical Hebrew tends to stress the final syllable of each word, and if we take a look at, say, Psalm 1, we will find that two-syllable words are very prevalent to start a line in Hebrew poetry.
In other words, the very structure of the Hebrew language lends itself to an off-beat musical structure like this.
Which is exactly what anyone familiar with traditional Jewish music would have told you to begin with.