Delta-rational chord: Difference between revisions
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== Least-squares error measures == | == Least-squares error measures == | ||
Say we want the error of a chord 1:''r''<sub>1</sub>:''r''<sub>2</sub>:...:''r''<sub>''n''</sub> (in increasing order), with ''n'' > 1, in the linear domain as an approximation to a fully delta-rational chord with signature +δ<sub>1</sub> +δ<sub>2</sub> ... +δ<sub>''n''</sub>, i.e. a chord | Say we want the error of a chord 1:''r''<sub>1</sub>:''r''<sub>2</sub>:...:''r''<sub>''n''</sub> (in increasing order), with ''n'' > 1, in the linear domain as an approximation to a fully delta-rational chord with signature +δ<sub>1</sub> +δ<sub>2</sub> ... +δ<sub>''n''</sub> (where the delta signature is for the chord written to have root 1), i.e. a chord | ||
<math> x : x + \delta_1 : \cdots : x + \sum_{l=1}^n \delta_l </math> | <math> x : x + \delta_1 : \cdots : x + \sum_{l=1}^n \delta_l </math> | ||