Delta-rational chord: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
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=== Measuring the error of an approximation ===
=== Measuring the error of an approximation ===
==== Linear error ====
==== Linear error ====
Say we want the linear error of a chord 1:''r''<sub>1</sub>:''r''<sub>2</sub>:...:''r''<sub>''n''</sub> (in increasing order) 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) 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


<math> \alpha : \alpha + \delta_1 : \cdots : \alpha + \sum_{l=1}^n \delta_l </math>
<math> \alpha : \alpha + \delta_1 : \cdots : \alpha + \sum_{l=1}^n \delta_l </math>