There are names for the central note and for each of the variants. Each of the several tones you play vary with factors such as the mood of the day, the style of the school of the composer. I didn't learn things like that growing up. But in Tibet no one explained them either. I had to pick it up myself.
Chinese theory is hard to explain.
Each is animated by a different aesthetic idea. You can apply Western theory in an attempt to explain Chinese music, but in applying it, you are limiting the Chinese music. Western music emphasizes harmonies, it combines many sounds, is polyphonic, and it looks for a purity of pitch, for being properly in tune. Chinese music is mostly in unison, and purity of pitch does not matter. I use Chinese musicians, and in learning the piece they initially played according to their own style.