what about simplifying music notation?

[Marc Weber]

-- O -- (O is the body of a note here)
-- O --

the interval between both pitches depends on the location.
Why?

Why should e-g be different from g - h ?

Wouldn't it be easier to assign notes (c,d,e,..) natural numbers?
then define

could be:
---O- nr 16
---O- nr 12
---O- nr 8
---O- nr 4
---O- nr 0

to be always 4 semitones?

Then many tasks such as transposing music to a different key would
become a simple math operation: simply add a number.

Many musicians who play occasionally only would benefit a lot.

Has anyone else thought about this before?

Marc Weber