From your link:
"The pitch of a note, however, is not relative to the pitch of the previous note. Rather, it is relative only to the staff lines. Musicians learn to recognize common pitch intervals between notes but only by referencing the staff lines. So you might say that the pitch dimension is note-to-staff relative.
...
Consider for a moment what music notation would look like if the pitch dimension were note-to-note relative."
I'm not sure how that is in any way an improvement or something desirable. To figure out the pitch of any note, you have to go back to the beginning and calculate the pitch from there. It would make sightreading, rehearsals, heck even practicing a piece virtually impossible. Perhaps for an ear training exam where you aren't penalizing the students without perfect pitch as long as they get the intervals right, or maybe a short excerpt that is intended to be played through all 12 keys, but I'm not sure of other practical applications other than mathematical curiosity, and as you point out, there is not yet a way to convey rhythms.
I'm also assuming that there is no way to convey a key signature, correct? So your Beethoven's 5th example shows G-G-G-E natural?!
![f6-300x111[1].jpg](./download/file.php?id=1739&sid=c17026b6e8f8a3e207f56be071d5612f)
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As an aside, wasn't SCORE input in DOS note-to-note relative? I can't remember exactly.