I – III – IV . . . (to begin a phrase)
The “puff” progression is named after “Puff, the Magic dragon” by Peter, Paul, and Mary, a song that begins with this progression. It does not participate in 3- or 4-chord cycles like the above progressions. However, it is typically bound to the opening of phrases, and typically harmonizes the bass mi/me as III, rather than a first-inversion I. “House of the Rising Sun” by the Animals is an example of this progression beginning phrases in minor (do–me–fa . . .).