I’m going to try to teach an old type of music theory, in the hopes of communicating a way that we can think together without verbal language or in combination. I mentioned before the origin of language in the first two letters of the earliest alphabet, though it would be a substantial exercise to carry it forward to discover the rest. Also, language may have developed independently at different times and places, so my examples may not be literally accurate but I would prefer to keep my descriptions brief enough to convey the point. Language exists when two or more beings can reliably produce and recognize signals between themselves in both directions. We can entrain new protocols to learn new ways of expressing ourselves.
Suppose I generate a tone at 420 cycles per second (Hertz). Call this tone Alpha, or Α.
Now I can generate a second tone at half the value of Α. Call this tone Beta, or Β.
With only these two tones, we could learn to communicate. A one, a two, a one; ΑΒΑ.
If Α and Β are sounded at the same time, you will not be able to separate them very well, for physiological reasons related to the way you hear powers of two as the same “pitch.”
Notice how that is roughly indistinguishable from this:
If we want to have a note that has a different perceived pitch, we need to multiply or divide Α by something other than two. Logically, we can use three. To keep things within our range of perception, divide first by three and then multiply by two, and call this tone Gamma, or Γ.
We might at this point define a rest, a silent note, and call it Chi, or Χ for now.
Anticipating our need for another pitch beyond Γ we can define it as Α divided by five and multiplied by four (remember powers of two maintain perceived pitch), and call it Epsilon, or Ε.
I skipped Delta, because it is the fourth letter and it creates confusion if it is used to represent a divisor of five. Let’s define it as something that doubles the value of the associated notes.
Now we can start making interesting words.