For the concept of simplicial sub-melody see e.g. post 104
This simplicial sub-melody is a bit different than the other types of simplicial sub-melodies , as it
utilizes 3 notes (a1, a2 a3) per chord X(i) , and they are the notes of power-chord of interval of 3rd or 5th which exist in the chord X(i). E.g. if X(i)=C4 major then the (a1, a2 a3) could be (c4-e4-c5) or (c4-g4-c5) or (e4-g4-e5) etc.
As example of folk song with such power chord of 3rd waves is the Bearcice Reel
https://www.youtube.com/watch?v=E9D7RqdmV7U