Equal-step tuning: Difference between revisions

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* We can describe the pattern as follow: Ratio divided = (n+1) / (n-1); if n%2 = 0 then a-b = 2 else a-b = 1; Small SSCP = (n+1) / n; Big SSCP = n / (n-1); Alpha division = <math>2\times {s2} - 1</math>; Beta division = <math>2\times {s2} + 1</math>; Gamma division = Alpha division + Beta division = 4 x n

* <math>\text{Ratio divided}frac{n+1}{n-1}</math>

* a - b: <math>n \equiv 0 \pmod{2} \Rightarrow a-b=2</math>; <math>n \equiv 1 \pmod{2} \Rightarrow a-b=1</math>

* <math>\text{Small SSCP}=\frac{n+1}{n}</math>

* <math>\text{Big SSCP}=frac{n}{n-1}</math>

* <math>\text{Alpha}=2n-1</math>

* <math>\text{Beta}=2n+1</math>

* <math>\text{Alpha}+\text{Beta}=(2n-1)+(2n+1)=4n</math>

* Ratio divided : <math>\frac{n+1}{,n-1,}</math>

* a-b : <math>a-b=\begin{cases}2,& n\equiv 0\pmod{2}\[4pt]1,& n\equiv 1\pmod{2}\end{cases}</math>

* Small SSCP : <math>\frac{n+1}{n}</math>

* Big SSCP : <math>\frac{n}{,n-1,}</math>

* Alpha division : <math>Alph2n-1</math>

* Beta division : <math>2n+1</math>

* Gamma division : <math>(2n-1)+(2n+1)=4n</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.

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 * We can describe the pattern as follow: Ratio divided = (n+1) / (n-1); if n%2 = 0 then a-b = 2 else a-b = 1; Small SSCP = (n+1) / n; Big SSCP = n / (n-1); Alpha division = <math>2\times {s2} - 1</math>; Beta division = <math>2\times {s2} + 1</math>; Gamma division = Alpha division + Beta division = 4 x n
+* <math>\text{Ratio divided}frac{n+1}{n-1}</math>
+* a - b: <math>n \equiv 0 \pmod{2} \Rightarrow a-b=2</math>; <math>n \equiv 1 \pmod{2} \Rightarrow a-b=1</math>
+* <math>\text{Small SSCP}=\frac{n+1}{n}</math>
+* <math>\text{Big SSCP}=frac{n}{n-1}</math>
+* <math>\text{Alpha}=2n-1</math>
+* <math>\text{Beta}=2n+1</math>
+* <math>\text{Alpha}+\text{Beta}=(2n-1)+(2n+1)=4n</math>
+* Ratio divided : <math>\frac{n+1}{,n-1,}</math>
+* a-b : <math>a-b=\begin{cases}2,& n\equiv 0\pmod{2}\[4pt]1,& n\equiv 1\pmod{2}\end{cases}</math>
+* Small SSCP : <math>\frac{n+1}{n}</math>
+* Big SSCP : <math>\frac{n}{,n-1,}</math>
+* Alpha division : <math>Alph2n-1</math>
+* Beta division : <math>2n+1</math>
+* Gamma division : <math>(2n-1)+(2n+1)=4n</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.