User:Frostburn/Theory From First Principles: Difference between revisions

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Expanding geometry: Make the projective origin null and ground an example.
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<math>\overrightarrow{Hz} \mapsto e_0</math>
<math>\overrightarrow{Hz} \mapsto e_0</math>


In represents a single point of origin in projective geometry (remember how we chose to ignore that extra scalar in front when summing absolute pitches).
It represents a single point of origin in projective geometry (remember how we chose to ignore that extra scalar in front when summing absolute pitches).


In practice it's handy to have a reference frequency that humans can hear so we might use the shifted origin
In practice it's handy to have a reference frequency that humans can hear so we might use the shifted origin