Spanish to English Art/Literary Art, Arts & Crafts, Painting Flamenco

This term appears in a short description of a Spanish flamenco artist. According to the RAE, a "tercio" is "Cada uno de los versos de que consta una copla del cante flamenco." Looking up the phrase en Google, to see other examples, I found several different artists about whom it was said: "tiene esa capacidad natural para cuadrar los tercios". And this is exactly the phrase I have to translate.
If it helps, it is about an artist from Jerez de la Frontera. Everything I can think of "loses a lot in the translation". Please help.