For every tone, every tone holds a numerical space. I call these inventories.
Inventory chart for all 12 tones
Beneath the F inventory, you see U, m2, M2, etc. These are the typical musical interval names (abbreviated).
Abbreviations for Typical Interval Names
- U = Unison
- m = minor
- M = Major
- P = Perfect
- TT = Tritone
It is important to know what every tone means to every other. As we build tuning maps, whatever is Zero sets up the numerical scheme. All of the tones will occupy a particular melodic & harmonic space, and, we can identify them as a numerical equivalent [as well as a traditional music theory name such as Major 3rd or Perfect 4th].
