Delta-rational chord: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
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}} is taken to be the DR chord that is being approximated.
}} is taken to be the DR chord that is being approximated.


Rewriting a bit, suppose the chord that is considered the approximation is 1:''f''<sub>1</sub>:''f''<sub>2</sub>:...:''f''<sub>''n''</sub>. Then (after some computation) the resulting linear least-squares optimization problem is
Rewriting a bit, suppose the chord that is considered the approximation is 1:''f''<sub>1</sub>:''f''<sub>2</sub>:...:''f''<sub>''n''</sub>. Let <math>D_i = \sum_{k=1}^i \delta_i</math> be the delta signature {{nowrap|+&delta;<sub>1</sub> +&delta;<sub>2</sub> ... +&delta;<sub>''n''</sub>
}} written cumulatively. Then the resulting linear least-squares optimization problem is


<math>
<math>