Tenkan-sen: A Midpoint, Not an Average
The tenkan-sen is the midpoint of the highest high and the lowest low of the last nine bars, not an average of closes. Because it reads only two extremes, it stays perfectly flat while both hold, and it is the fastest of the five Ichimoku lines.
How it works
It is a midpoint, not an average. The tenkan-sen adds the highest high of the last nine bars to the lowest low of those same bars and divides by two.
Only two prices enter the sum. Whichever bar printed the extreme high, and whichever printed the extreme low, supply both terms; everything between them is discarded.
That is what separates it from a moving average. A mean of closes shifts on every new bar because every bar is a term in it. A midpoint shifts only when an extreme is replaced.
Why the line goes flat
A flat stretch means both extremes survived. When a new bar neither exceeds the nine-bar high nor undercuts the nine-bar low, the line does not move at all.
The flats are informative, not a fault. A level tenkan-sen marks a range whose boundaries have held all window, and price often reacts there.
It is still the quickest of the five lines. Nine bars is the shortest window Ichimoku uses, so it turns before the kijun-sen and well before the cloud.
The standard signal is a cross. The tenkan-sen crossing above the kijun-sen is read as bullish and below as bearish, though on its own that cross fires often and settles little.
The system grades that cross by position. Ichimoku treats a cross above the kumo cloud as strong, inside it as neutral and below it as weak.
In practice
It never looks at volume. A midpoint set during a thin, quiet session is indistinguishable from one set on heavy trade, so participation is a judgement you add yourself.
Nine bars is a shorter horizon than it sounds. On a daily chart the window covers roughly two trading weeks, which is why one quiet week can flatten the line entirely.
An opening gap can move it in one step. If the open jumps past the previous nine-bar extreme, the new extreme is set immediately and the line relocates with no intervening path.
Most people use it as a trailing reference. Rather than act on every cross, they hold while price stays on one side and treat a decisive close through the line as the cue to move a stop.
Every cross traded is charged for. Trading a fast line means trading often, and the round trip is paid whether or not the signal works.
The flat sections repay a second look. A long level stretch says the market has stopped making new extremes.
Where the settings came from
The nine, twenty-six and fifty-two are historical. They were fixed when the Japanese trading week ran six days, so twenty-six stood for a month and fifty-two for two months. Neither shape of week exists now.
That should temper how much authority you give the numbers. They are a convention rather than a tested optimum, though a convention watched by enough traders acquires behaviour of its own: a level many people mark becomes a level many people trade.
It also explains why altering them feels awkward. Shortening the window makes the line quicker and flat far less often; lengthening it removes the responsiveness the tenkan-sen exists to supply.
Test any change against your own timeframe. Nine bars on a five-minute chart and nine bars on a weekly chart describe entirely different horizons, and the convention was written for neither.
What the tenkan-sen is not
- Not a moving average. Most of the nine-bar window never enters the calculation at all.
- Not a forecast. A flat line reports that two extremes have held, and nothing about what follows.
- Not a standalone system. Ichimoku grades the cross against the cloud; the cross alone is incomplete.
- Not a fixed level. It moves the moment either extreme is replaced, so it is only as durable as those two prices.
When it fails
In a sideways market it crosses repeatedly. The two lines converge when neither extreme is moving, and every small push produces another cross in the opposite direction to the last.
A single spike rewrites the line. One bar with an unusually long wick sets a new extreme, drags the midpoint with it and holds it there for the rest of the window.
It cannot separate a quiet market from a stable one. A flat line says the extremes have held, not whether that is a pause before continuation or the end of a move.
Gaps break its continuity. Weekend and overnight gaps set extremes with no trading between the old level and the new, so the line jumps to a value nothing traded at.
Speed produces the most signals. Being the fastest line means it is first on genuine turns and first on false ones, and neither is labelled at the time.
Stripped out of its framework it weakens. Traders who take the cross without the cloud keep the graded component and discard the grading.
The original data
These figures come from this project’s own measurements. research/corpus-coverage.json,
produced by site/measure_corpus.py, covers a corpus of 31,760 trading and investing videos.
- “tenkan” in the title: 2 videos, median 116,694 views, 2 channels.
- “kijun”: 5 videos, median 33,420 views, 3 channels.
- “kumo”: 5 videos, median 17,983 views, 3 channels.
- “ichimoku”: 154 videos, median 10,165 views, 99 channels.
A second file measures the price series drawn on this page. research/series-measurements.json,
from site/measure_series.py, describes this site’s shared 576-bar history: a round trip costs 2%
of a median bar’s range and 45% of the smallest bar; the ten-bar efficiency ratio has a median of
0.34, with 30% of bars above 0.5; direction runs average 2.01 bars with a longest of 11, across
286 runs.
The component lines are far less covered than the system. One hundred and fifty-four videos carry “ichimoku” in the title against two for “tenkan”, yet those two carry the higher median. Coverage and attention are not the same thing.
The series numbers explain why an unfiltered cross struggles. Direction runs average 2.01 bars and the efficiency ratio sits at 0.34, so most movement doubles back quickly. Before you act on a cross, check it against the cloud and count how many bars the last three moves in your own instrument actually ran.
Related
Ichimoku is the system this line belongs to, and it explains why a cross is graded rather than simply taken. The kijun-sen is the slower twenty-six-bar midpoint the tenkan-sen crosses, built by the identical calculation over a longer window. The kumo cloud is the shaded band that decides whether a given cross counts as strong, neutral or weak.
The flat stretches were the part I misread for years. I kept treating them as the line being broken, when they were telling me the extremes had not moved and neither had the market. These days I use it as a trailing reference rather than a signal, and I leave a position alone while price stays on one side of it. The cross is where I look, not where I act.
— Michael Whitman
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