User:Xenwolf/Interval quartet

From Xenharmonic Wiki
Revision as of 20:20, 27 September 2020 by Xenwolf (talk | contribs) (the relation between 1, 4, 5, 8 (and 2, 7) are a bit more complicated)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
An observation, that could have some potential:

Four intervals, connected to each other by octave and fifth complements, form an interval quartet.

Examples

Generalization

As can be observed in FJS names and Interval regions, the 4-part interconnection doesn't stop after intervals.

  • m6 ↔ M3 ↔ m3 ↔ M6
  • d6 ↔ A3 ↔ d3 ↔ A6
  • the four interseptimal regions are the union set of certain interval quartets.