Indicators
Ichimoku Basic Numbers
Ichimoku Basic Numbers
Ichimoku's basic numbers—9, 17, and 26—were derived by Ichimoku Sanjin after years of studying mathematical texts from around the world, distilling the principles of cyclical change into three core values. These are the single basic numbers; all other Ichimoku numbers are calculated by combining them. Each basic number represents a natural cycle period, making the corresponding count a high-probability turning point.
Key Takeaways
Ichimoku Complete System
1. Overview
The Ichimoku Kinko Hyo (一目均衡表) is a comprehensive technical analysis system developed by Goichi Hosoda, writing under the pen name Ichimoku Sanjin, from the 1930s over a period of approximately 30 years, with the assistance of over 7,000 collaborators. The name literally translates to "a chart that reveals equilibrium at a glance" — designed so that a single look at the chart provides a holistic assessment of the market's current state and directional bias.
Unlike most Western technical analysis tools, which are designed primarily around price, the Ichimoku system places time as a higher-order concept than price. It integrates three core elements — price, time, and wave structure — into a unified framework. Rather than a simple indicator, it is a complete analytical philosophy composed of Time Theory (basic numbers and equal numbers), Wave Theory (basic wave patterns), and Price Theory (calculation targets).
The cryptocurrency market operates 24 hours a day, 365 days a year, which differs from the traditional stock market's business-day basis (approximately 26 trading days per month). However, the Ichimoku default numbers (9, 26, 52) are grounded in the universal principles of temporal rhythm and equilibrium, making them effective in cryptocurrency markets with default settings intact. That said, reliability is notably higher on 4-hour and daily timeframes or above.
2. Core Rules and Principles
2.1 The Philosophy of Ichimoku
Core Tenets:
- Time governs all — Price is a function of time. "When will price move?" matters more than "how much will it move?"
- All price action converges toward equilibrium (balance) — Markets may temporarily reach overbought or oversold states, but they ultimately seek their equilibrium point
- Symmetry between time and price is the essence of markets — The duration of an advance tends to mirror the duration of its correction, and price magnitude repeats in proportional ratios
Three Analytical Pillars:
| Pillar | Key Question | Tools |
|---|---|---|
| Time Theory | When will change occur? | Basic numbers, equal numbers, change dates |
| Wave Theory | What pattern is the movement taking? | I, V, N, P, Y, S waves |
| Price Theory | How far will the movement extend? | V, N, E, NT calculations |
When all three pillars point in the same direction simultaneously — that is, when a time theory change date coincides with an expected wave structure reversal, and price has reached a calculation target — the strongest possible trading signal is generated.
2.2 The Five Component Lines: Definitions and Meaning
The Ichimoku chart consists of five lines. Understanding the exact calculation method and interpretation of each line is essential for correctly applying the entire system.
Tenkan-sen (Conversion Line):
- Calculation: (Highest high + Lowest low) ÷ 2 over the past 9 periods
- Meaning: Short-term equilibrium price; indicates the direction of short-term trend
- Interpretation: A rising Tenkan-sen indicates bullish short-term momentum; a falling one indicates bearish. Price bouncing off the Tenkan-sen confirms short-term support
Kijun-sen (Base Line):
- Calculation: (Highest high + Lowest low) ÷ 2 over the past 26 periods
- Meaning: Medium-term equilibrium price and the market's "reference point." It is the single most important line in the Ichimoku system
- Interpretation: A flat Kijun-sen signals an equilibrium (consolidation) state. Price that deviates significantly from the Kijun-sen has a strong tendency to revert toward it. The slope of the Kijun-sen itself reveals the health of the trend
Chikou Span (Lagging Span):
- Calculation: Current closing price plotted 26 periods into the past
- Meaning: Provides an intuitive visual comparison between the current price and the price 26 periods ago
- Interpretation: When the Chikou Span is above the price from 26 periods ago, buyers have the advantage; when below, sellers dominate. Hosoda himself called the Chikou Span "the heart of the Ichimoku system"
Senkou Span A (Leading Span A):
- Calculation: (Tenkan-sen + Kijun-sen) ÷ 2, plotted 26 periods into the future
- Meaning: The average of short-term and medium-term equilibrium; the faster-reacting boundary of the cloud
Senkou Span B (Leading Span B):
- Calculation: (Highest high + Lowest low) ÷ 2 over the past 52 periods, plotted 26 periods into the future
- Meaning: Long-term equilibrium price; the slower-reacting boundary of the cloud
Kumo (Cloud):
- The shaded region between Senkou Span A and Senkou Span B
- When Senkou Span A > B, the cloud is bullish (green); when A < B, the cloud is bearish (red)
Key Point: Western moving averages use only closing prices, but every line in the Ichimoku system uses (Highest high + Lowest low) ÷ 2 — the midpoint (equilibrium) of the given period. This is the fundamental reason it is called an "equilibrium chart."
2.3 Basic Numbers
These are the core numerical values used in Ichimoku time analysis.
Three Primary Numbers:
| Number | Role | Meaning |
|---|---|---|
| 9 | Tenkan-sen period | The most fundamental time unit; short-term change cycle |
| 26 | Kijun-sen / Chikou Span period | Corresponds to one month (business days); medium-term change cycle |
| 52 | Senkou Span B period | Corresponds to two months; long-term change cycle |
Derived Numbers and Relationships:
- 9 + 17 = 26 (17 is also a basic number)
- 26 + 26 = 52
- 9, 17, and 26 are fundamental change cycles
- 33 (= 9 + 9 + 17 − 2), 42 (= 26 + 17 − 1), 65 (= 26 + 26 + 13), 76 (= 52 + 26 − 2), 129, 172, 200–257, etc. are composite numbers — combinations of sums, differences, and multiples of the basic numbers
How to Apply Time Theory:
- Count basic number intervals (9, 17, 26, 33, 42, 52, 65, 76 periods) forward from significant highs and lows to forecast the next change date
- A change date is a point where trend reversal or trend acceleration is likely to occur. The change date itself does not determine direction
- Determine direction by assessing whether price is above or below the cloud, and the relationship between the Tenkan-sen and Kijun-sen at the change date
- Change dates where multiple basic numbers converge carry significantly higher reliability
Crypto Practical Tip: Checking 26 and 52 days forward from major BTC highs and lows reveals a surprisingly high frequency of alignment with actual change dates. This works most effectively on daily charts.
2.4 Equal Numbers (Taito Suchi)
Principle: The duration (time length) of a past wave tends to repeat at an equal duration in the future. This occurs because market participant psychology cycles in similar rhythms.
Application:
- Measure the time duration (number of bars) of significant past waves
- Calculate when the current wave will reach an equal duration
- Watch for potential change (reversal or acceleration) at that point
Practical Examples:
- 20-day rally → 20-day correction (1:1 equality) — the most basic form
- 20-day rally → correction lasting 9 or 26 days (combining with basic numbers) — change near basic number intervals
- Previous decline of 35 days → watch for change in current rally around 33–35 days
Core Principle: When an equal number and a basic number converge on the same date, it constitutes a strong change date. For example, if a previous wave lasted 25 days and closely matches the basic number 26, the current wave can be expected to undergo a change around the 25–26 day mark.
2.5 Price Theory Calculations
Four calculation methods for projecting wave price targets. Here, A represents the starting point of the wave, B represents the end of the first impulse (high or low), and C represents the end of the retracement.
V Calculation:
- Formula: Target = B + (B − C)
- Meaning: Projects an additional move equal to the retracement
- Characteristics: The most conservative target; frequently reached in weak trends
- Example: B = 50,000, C = 45,000 → Target = 50,000 + 5,000 = 55,000
N Calculation:
- Formula: Target = C + (B − A)
- Meaning: Projects the prior impulse magnitude from the retracement point
- Characteristics: The most frequently reached target; the most practical in real trading
- Example: A = 40,000, B = 50,000, C = 45,000 → Target = 45,000 + 10,000 = 55,000
E Calculation:
- Formula: Target = B + (B − A)
- Meaning: Projects the full prior impulse magnitude from the breakout point
- Characteristics: An extension target for strong trends; reached when trend momentum is sustained
- Example: A = 40,000, B = 50,000 → Target = 50,000 + 10,000 = 60,000
NT Calculation:
- Formula: Target = C + (C − A)
- Meaning: Projects the distance from retracement to the starting point
- Characteristics: The most difficult extension target to reach; achieved only in exceptionally strong trends
- Example: A = 40,000, C = 45,000 → Target = 45,000 + 5,000 = 50,000
Priority and Application by Trend Strength:
| Trend Strength | Expected Target | Description |
|---|---|---|
| Weak trend | V Calculation | High probability of reversal at V |
| Normal trend | N Calculation | Most frequently achieved |
| Strong trend | E Calculation | Reached when strong momentum is sustained |
| Very strong trend | NT Calculation | Achieved only in exceptionally powerful trends |
Practical Tip: When multiple calculation targets converge at a similar price level, that zone becomes an extremely powerful target/support/resistance. Areas where Fibonacci extension levels (1.618, 2.618, etc.) overlap with Ichimoku calculation targets represent the highest-grade price objectives.
2.6 Basic Wave Patterns
This is the Ichimoku wave classification system. All market movements are explained as combinations of these six basic wave patterns.
I-wave:
- A simple unidirectional move
- Classified as either a bullish I-wave or bearish I-wave
- The most fundamental wave unit and the building block of all complex waves
V-wave:
- Composed of one I-wave plus a retracement I-wave (2 I-waves total)
- Exhibits a sharp reversal shape (V or inverted V)
- Frequently observed in news/event-driven reversals
N-wave:
- Composed of 3 I-waves (up → down → up, or down → up → down)
- The most essential pattern in Ichimoku Wave Theory
- Represents the fundamental trend structure of impulse → correction → impulse
- All four price calculation targets (V, N, E, NT) are derived from the A, B, and C points of the N-wave
P-wave:
- A converging triangle pattern where highs descend and lows ascend
- An energy accumulation phase; a strong move typically follows the breakout
- P-waves frequently develop inside the cloud
Y-wave:
- An expanding pattern — the opposite of the P-wave
- Highs ascend and lows descend in a diverging structure
- Volatility increases but directional bias is unclear; this is a zone to stay out of the market
S-wave:
- An extension of the N-wave, composed of 5 I-waves
- Appears in strong trends as a sequential N-wave structure
- Resembles the 5-wave structure of Elliott Wave Theory
Wave Identification Sequence: First, determine whether the current wave in progress corresponds to an I, V, or N pattern. Once an N-wave is confirmed, designate the A, B, and C points and calculate price targets using the price theory formulas. This is the fundamental analytical workflow of the Ichimoku system.
3. Practical Application
3.1 Ichimoku Trading Strategies
Bullish Alignment Entry Conditions (enter when 3 or more are met):
- ✅ Price is trading above the cloud
- ✅ Tenkan-sen is above the Kijun-sen (TK Golden Cross)
- ✅ Chikou Span is above the price from 26 periods ago
- ✅ Cloud color is bullish (Senkou Span A > Senkou Span B)
- ✅ A Kumo twist (maintaining bullish cloud or transitioning from bearish to bullish) is upcoming
Bearish Alignment Entry Conditions (enter when 3 or more are met):
- ✅ Price is trading below the cloud
- ✅ Tenkan-sen is below the Kijun-sen (TK Death Cross)
- ✅ Chikou Span is below the price from 26 periods ago
- ✅ Cloud color is bearish (Senkou Span A < Senkou Span B)
Stop-Loss Criteria:
- Long positions: First warning on a break below the Kijun-sen; stop-loss on a break below the bottom of the cloud
- Short positions: First warning on a break above the Kijun-sen; stop-loss on a break above the top of the cloud
- The Kijun-sen represents the "market equilibrium point," so a break beyond it signals that equilibrium has been disrupted
Entry Timing Refinement:
| Situation | Entry Method | Reliability |
|---|---|---|
| Cloud breakout + TK bullish alignment | Breakout entry | ★★★☆☆ |
| Post-cloud breakout with Kijun-sen support confirmed | Pullback entry | ★★★★☆ |
| Three-line reversal (Saneki Koten) completed | Confirmation entry | ★★★★★ |
3.2 Saneki Koten / Saneki Gyakuten (Three-Line Reversal)
The most powerful trading signal in the Ichimoku system.
Saneki Koten (Bullish Reversal — all 3 conditions met simultaneously):
- Tenkan-sen crosses above the Kijun-sen (TK Golden Cross) — short-term momentum surpasses medium-term
- Chikou Span crosses above the price from 26 periods ago — current price gains superiority over past price
- Price breaks above the cloud — long-term resistance is overcome
Saneki Gyakuten (Bearish Reversal — all 3 conditions met simultaneously):
- Tenkan-sen crosses below the Kijun-sen (TK Death Cross)
- Chikou Span crosses below the price from 26 periods ago
- Price breaks below the cloud
The three-line reversal occurs rarely, but when it does, it represents the highest-reliability trend reversal signal in the system. This is because all three time dimensions — short-term, medium-term, and long-term — are pointing in the same direction.
Practical Note: The three conditions do not necessarily trigger simultaneously. In practice, they often fulfill sequentially over a span of 1–2 weeks. Begin monitoring when the first condition is met and enter the position when the third condition is confirmed. However, since price has often already moved significantly by the time the third condition completes, a scaled entry approach is also effective — initiating a small position upon the second condition and adding upon the third confirmation.
3.3 Kumo (Cloud) Applications
The cloud is the most visually intuitive element of the Ichimoku system and serves as a powerful standalone analytical tool.
Cloud Thickness and Support/Resistance Strength:
- Thick cloud: A strong support/resistance zone; price does not penetrate easily
- Thin cloud: Weak support/resistance; breakouts occur more readily and may accelerate upon penetration
- Cloud thickness = 0 (twist point): Virtually no support/resistance — a "vacuum" state
Kumo Twist:
- The point where Senkou Span A and B intersect, displayed 26 periods into the future
- Twist points provide an advance preview of future dates with elevated probability of trend change
- Frequent twists indicate a consolidation/trendless phase; infrequent twists indicate a strong trend phase
- When a twist point coincides with a time theory change date, the probability of reversal increases significantly
Trading Inside the Cloud:
- When price is inside the cloud, the market is in a neutral/consolidation state
- Directional trades are unsuitable; only range trading between the upper and lower cloud boundaries should be considered
- The default approach is to remain on the sidelines until price decisively exits the cloud
Support/Resistance Role Reversal of the Cloud:
- When price declines from above and enters the cloud, the upper boundary acts as support
- If price breaks completely below the cloud, the same lower boundary now becomes resistance
- This follows the same principle as horizontal support/resistance role reversal
3.4 Advanced Chikou Span Applications
The Chikou Span is the most underestimated yet most important element of the Ichimoku system.
Independent Chikou Span Analysis:
- Analyze the positional relationship of the Chikou Span relative to the price, cloud, Tenkan-sen, and Kijun-sen from 26 periods ago
- When the Chikou Span is above the cloud from 26 periods ago, the market is bullish; when below, bearish
- When the Chikou Span encounters a cluster of support/resistance from the price action of 26 periods ago, the probability of a current trend reversal increases
Chikou Span Support/Resistance Validation:
- When the Chikou Span attempts to break through the price from 26 periods ago, dense candlestick clusters in that zone make the breakout difficult
- Conversely, if the zone from 26 periods ago is a "gap" with sparse candles due to a sharp rally or crash, the Chikou Span breaks through easily
3.5 Timeframe-Specific Application
| Timeframe | Suitability | Usage |
|---|---|---|
| 1-min to 15-min | ★★☆☆☆ | Excessive noise reduces cloud signal reliability |
| 1-hour to 4-hour | ★★★★☆ | Suitable for swing trading; cloud and TK cross applications |
| Daily | ★★★★★ | Most reliable; all three theories (time, wave, price) fully applicable |
| Weekly | ★★★★★ | Optimal for major trend assessment; used for long-term investment decisions |
Multi-Timeframe Strategy: The most effective approach is a top-down method — confirm bullish/bearish alignment on the weekly chart to establish the major trend direction, identify specific entry timing on the daily chart, and determine precise entry points on the 4-hour chart.
4. Relationships with Other Concepts
4.1 Combining with Fibonacci
Price calculation targets that converge with Fibonacci extension levels create high-confidence zones. When the N calculation aligns with the 1.618 Fibonacci extension, it acts as an extremely powerful resistance/support level. Additionally, zones where cloud boundaries coincide with Fibonacci retracement levels (0.382, 0.5, 0.618) represent the highest-grade support/resistance.
4.2 Similarities with Elliott Wave Theory
The N-wave structure (impulse → correction → impulse) is fundamentally identical to the Elliott Wave 1-2-3 wave structure. The S-wave (5 I-waves) corresponds to the Elliott 5-wave structure. Using both systems in parallel enables cross-validation of wave counts. An effective combination involves using Elliott Wave to identify the current position within the larger structure and Ichimoku calculation targets to determine price objectives.
4.3 Combining with Candlestick Patterns
When Ichimoku signals (cloud breakouts, TK crosses, etc.) coincide with candlestick reversal patterns (hammer, engulfing, doji, etc.), they provide confirmation for entry. In particular, the combinations of Kijun-sen support + hammer candle and cloud breakout + strong bullish close demonstrate high win rates.
4.4 Combining with Volume
The Ichimoku system does not inherently include volume analysis. When a cloud breakout is accompanied by a volume surge, it validates the breakout as genuine; a breakout without volume carries a high probability of being a false breakout. Volume confirmation is especially critical in cryptocurrency markets.
4.5 Confluence
The greatest strength of the Ichimoku system is that it functions as a complete standalone analytical framework. However, when confluence with other tools occurs, reliability elevates to an even higher level.
Highest-Grade Confluence Examples:
- Cloud boundary + horizontal support/resistance + Fibonacci level converging at the same price zone
- Time theory change date + Kumo twist + Fibonacci time cluster occurring simultaneously
- Three-line reversal + RSI oversold recovery + volume surge occurring simultaneously
Related Concepts
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