Equal-step tuning: Difference between revisions

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Thus they are complementary in the ratio <math>R_n=\dfrac{n+1}{n-1}</math>.
Thus they are complementary in the ratio <math>R_n=\dfrac{n+1}{n-1}</math>.


We can observe a converging sequence and pattern for equal divisions of the ratio <math>R_n</math> where low errors appears for <math>S_n</math> and <math>B_n</math>: 3, 5, 8; then 5, 7, 12; then 7, 9, 16; then 9, 11, 20; then 11, 13, 24; then 13, 15, 28; etc. -
For each <math>n\ge 2</math> consider the three divisions of <math>R_n</math> where low errors appears for <math>S_n</math> and <math>B_n</math>:
* '''Alpha:''' <math>k_\alpha=2n-1</math>
* '''Beta:''' <math>k_\beta=2n+1</math>
* '''Gamma:''' <math>k_\gamma=4n=k_\alpha+k_\beta</math>


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For each <math>n\ge 2</math> consider the three divisions of <math>R_n</math>:
* '''Alpha:''' <math>k_\alpha=2n-1</math>
* '''Beta:''' <math>k_\beta=2n+1</math>
* '''Gamma:''' <math>k_\gamma=4n=k_\alpha+k_\beta</math>


* Alpha types flatten the smaller interval and sharpen the larger; Beta types do the reverse; Gamma types again flatten the smaller and sharpen the larger.
* Alpha types flatten the smaller interval and sharpen the larger; Beta types do the reverse; Gamma types again flatten the smaller and sharpen the larger.