Delta-rational chord: Difference between revisions

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which can be plugged back into the error formula to obtain the error. (We multiply the 1:''r''1:''r''2:...:''r''''n'' chord by α in order to compare it to the target DR chord on the same isodifferential series.)

This error measure is called '''least-squares linear error''' (LSL error), where "linear" refers to linear frequency domain as opposed to logarithmic. As LSL error does not depend on whether the chord whose error is being measured is 1:''r''1:''r''2:...:''r''''n'' or the same chord linearly shifted to have root α, it can be used as a distance function between two delta signatures with no free terms, called '''least-squares linear distance'''.

This error measure is called '''least-squares linear error'''{{idiosyncratic}} (LSL error), where "linear" refers to linear frequency domain as opposed to logarithmic. As LSL error does not depend on whether the chord whose error is being measured is 1:''r''1:''r''2:...:''r''''n'' or the same chord linearly shifted to have root α, it can be used as a distance function between two delta signatures with no free terms, called '''least-squares linear distance'''.

==== Partially DR ====

@@ Line 73: / Line 73: @@
 which can be plugged back into the error formula to obtain the error. (We multiply the 1:''r''<sub>1</sub>:''r''<sub>2</sub>:...:''r''<sub>''n''</sub> chord by α in order to compare it to the target DR chord on the same isodifferential series.)
-This error measure is called '''least-squares linear error''' (LSL error), where "linear" refers to linear frequency domain as opposed to logarithmic. As LSL error does not depend on whether the chord whose error is being measured is 1:''r''<sub>1</sub>:''r''<sub>2</sub>:...:''r''<sub>''n''</sub> or the same chord linearly shifted to have root α, it can be used as a distance function between two delta signatures with no free terms, called '''least-squares linear distance'''.
+This error measure is called '''least-squares linear error'''{{idiosyncratic}} (LSL error), where "linear" refers to linear frequency domain as opposed to logarithmic. As LSL error does not depend on whether the chord whose error is being measured is 1:''r''<sub>1</sub>:''r''<sub>2</sub>:...:''r''<sub>''n''</sub> or the same chord linearly shifted to have root α, it can be used as a distance function between two delta signatures with no free terms, called '''least-squares linear distance'''.
 ==== Partially DR ====