Although Numbered Notes is easy to learn and use it is actually very sophisticated in how it can be used to analyze intervals. Because each note is numbered it makes it easy to see the numerical distance between one note and another.
For example the interval between the 1-note and the 8note is +7. So if you wanted to play the same interval based on the 3-note you would just add 7 and get 10.
Chords are referred to by their root note and then the intervals that make up the chord.
So a C-Mjr is a 1(47)........the (47) are the Major 3rd (4) and the Perfect 5th (7). The numbers in brackets are the half step intervals from the root note.
A minor chord is a (37) having a minor 3rd and the Perfect 5th.
Intervals are always referred to in terms of half steps from the root note. This is a more literal and consistent way to relate to the interval.
This is why it is so important to give a fixed "number name" to each half step in the octave. Once you name the half steps you can see the intervals between any two notes by subtracting one from the other.
These aspects make NN great for Intervals!
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