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Technical Studies Reference


This study calculates and displays the Tenkan-Sen study for the data specified by the Input Data High and Input Data Low Inputs.

Let \(X^{(High)}\) and \(X^{(Low)}\) be random variables denotining Input Data High and Input Data Low, respectively, and let \(X_t^{(High)}\) and \(X_t^{(Low)}\) be their respective values at Index \(t\). Let the Tenkan-Sen Length be denoted as \(n_{TS}\).

We denote the maximum value of \(X_t^{(High)}\) and the minimum value of \(X_t^{(Low)}\) over a moving window of \(n_{TS}\) chart bars terminating at Index \(t\) as \(\max_t(X^{(High)},n_{TS})\) and \(\min_t(X^{(Low)},n_{TS})\), respectively. These are computed for \(t \geq n_{TS} - 1\) as follows.

\(\max_t\left(X^{(High)},n_{TS}\right) = \max\left\{X_{t - n_{TS} + 1}^{(High)},...,X_t^{(High)}\right\}\)

\(\min_t\left(X^{(Low)},n_{TS}\right) = \min\left\{X_{t - n_{TS} + 1}^{(Low)},...,X_t^{(Low)}\right\}\)

We denote the value of Tenkan-Sen at Index \(t\) for the given Inputs as \(TS_t\left(X^{(High)}, X^{(Low)}, n_{TS}\right)\), and we compute it for \(t \geq n_{TS} - 1\) as follows.

\(TS_t\left(X^{(High)}, X^{(Low)}, n_{TS}\right) = \displaystyle{\frac{\max_t\left(X^{(High)},n_{TS}\right) + \min_t\left(X^{(Low)},n_{TS}\right)}{2}}\)

This study is mathematically identical to the Kijun-Sen study. The only difference between the two is that Tenkan-Sen has a default length of \(n_{TS} = 9\), while Kijun-Sen has a default length of \(n_{KS} = 26\).


The spreadsheet below contains the formulas for this study in Spreadsheet format. Save this Spreadsheet to the Data Files Folder.

Open it through File >> Open Spreadsheet.


*Last modified Monday, 03rd October, 2022.