Chord complexity: Difference between revisions
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=== Generalized Tenney Height === | === Generalized Tenney Height === | ||
In general, we will derive the following expressions for the '''Generalized Benedetti Height''' or '''Generalized Tenney Height''' of any chord, in such a way that chords can be reasonably compared | In general, we will derive the following expressions for the '''Generalized Benedetti Height''' or '''Generalized Tenney Height''' of any chord, in such a way that chords of different sizes can be reasonably compared: | ||
<math>\displaystyle B_s(x_1, x_2, \ldots, x_N) = \frac{(x_1 \cdot x_2 \cdot \ldots \cdot x_N)^{1/N}}{N^{1/s}}</math> | <math>\displaystyle B_s(x_1, x_2, \ldots, x_N) = \frac{(x_1 \cdot x_2 \cdot \ldots \cdot x_N)^{1/N}}{N^{1/s}}</math> | ||