I completely understand those interval structures. But they are just structures of relative distances.N__K wrote: Sat Jan 08, 2022 4:23 pm Sorry for out-of-order commenting, I'm picking and choosing what to reply to.
7°(0,5,7) - 8°(0,2,7) - 0°(0,3,5,7)
those digits with degree symbols, not sure what they mean: short way of the ones in parenthesis maybe?
When you show the "symbolic" score (you show us MIDI-roll) we could see the notes actually quite stay more or less the same... which is not evident form the relative interval structure.
That is why if you had used letter or notehead symbols, we could have seen that they "stay the same" as a direct correspondence.
Also you have to think about inversions, not only general "from root up" structures.
Also, we can see that 0° is actually intended to be the highest root in the actual "score" (MIDI-roll)
This, using numbers symbols only, could lead to confusion, because we use numbers in quantitative calculations as well, where 0 is always down, lower than 8.
Besides that, such interval structure you shared is used "behind the scenes" in all code of modern sound and audio recording programs related to arranging and composing music. Because computers understand\operate numbers better.

