While thinking too much about guitar, I wondered how many of the 12 pitches are actually marked on the board. Marked, in this case, means a fret that has an inlay. It's a visual cue on the guitar and can be very helpful when trying to remember a pattern.
I decided to just write them all out. For this observation, open notes are also considered marked.
You can access 11 out of 12 pitches if you go by marked alone. The only unmarked pitch is D#. After fret 12, the pattern repeats. [12,15,17,19,21] is the same as [0,3,5,7,9], but an octave higher.
Here's a graph to show you just how many marks each pitch has.
I know that some guitars have inlays on fret 1, but many I see do not. However, marking that fret would give you at least one D#.
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