User:Holger Stoltenberg/sandbox: Difference between revisions

No edit summary
No edit summary
Line 28: Line 28:


==The mode axis==
==The mode axis==
The vertical axis of our model of tonal space indicates ''modes'' of the harmonic series. All modes start at the same normalized frequency (or pitch) of 0 cents. This means that the ''tonics'' of all of these overtone scales share exactly the same pitch (Fig. 2), which can be chosen arbitrarily.
The vertical axis of our model of tonal space indicates ''modes'' of the [[harmonic series]]. All modes start at the same normalized frequency (or pitch) of 0 cents. This means that the ''tonics'' of all of these overtone scales share exactly the same pitch (Fig. 2), which can be chosen arbitrarily.


Since each mode (row) begins with a member of the harmonic series, we can space adjacent modes by corresponding rational intervals for plotting on the logarithmic vertical axis.
Since each mode (row) begins with a member of the harmonic series, we can space adjacent modes by corresponding rational intervals for plotting on the logarithmic vertical axis.