Pi Cycle Indicator Low and High
The Pi Cycle Indicator is a technical analysis tool used in finance, particularly within cryptocurrency markets, to identify potential market tops or bottoms. It is based on two moving averages: the 111-day moving average and the 350-day moving average of Bitcoin's price. The indicator suggests that when these two moving averages converge or cross each other, it may signal significant market turning points. The name "Pi Cycle" comes from the mathematical relationship between these two moving averages, roughly equivalent to the mathematical constant Pi (3.14). Traders and analysts use this indicator to gauge potential trend reversals and make informed decisions regarding their trading strategies. However, like any technical analysis tool, it should be used in conjunction with other indicators and fundamental analysis for a comprehensive understanding of market conditions.
在腳本中搜尋"欧易PI币开盘价格"
PCTR - Pi Cycle Top Risk [Logue]Pi-cycle Top Risk (PCTR) - The PCTR indicator uses divergence of the Pi-cycle top indicator display the risk that a macro top in Bitcoin (BTC) is near. The Pi-cycle top indicator is simply the cross of the 111-day moving average above a 2x multiple of the 350-day moving average of the BTC price. While there is no fundamental reasoning behind why this works, it has worked to indicate previous bitcoin tops by taking advantage of the cyclicality of the BTC price and measurement overextension of BTC price. This indicator triggers a top signal when the fast moving average (111-day) crosses above the 2x multiple of the slow moving average (350-day).
What's interesting is the indicator can also signal a bottom when the divergence of the fast moving average is at an extreme versus the slow moving average. The indicator signals a bottom when the fast MA is 66% away from the slow MA value.
Both the top and bottom signals are clearly shown on the chart on a scale from 100 to 0.
Pi Cycle Bitcoin Top IndicatorThe script implements the Pi Cycle Top indicator
This indicator identifies tops in the bitcoin market cycle. Historically, the Pi Cycle Top indicator has called out tops in the price of bitcoin within three days.
The script is very easy to use and it is possible to change the following parameters:
the time interval (default value is day);
the days of long moving average (default value is 365)
the days of short moving average (default value is 111)
show the moving average plots
show the Pi Cycle Top label highlighting the cross-point
Pi Cycle Bottom IndicatorBack in June 2021, I was able to find two moving averages that crossed when Bitcoin reached it's cycle bottom, similar to Philip Swift's Pi-Cycle Top indicator.
The moving average pair used here was the x0.475 multiple of the 471 MA and the 150 EMA ( EMA to take into account of short term volatility ).
I have a more in-depth analysis and explanation of my findings on my medium page .
Trader Dončić.
Pi Cycle Top Indicator - mychaelgoPlots the original Pi Cycle Top moving averages and marks bars where the 111DMA is rising and crosses above the 350DMA×2, often coinciding with Bitcoin cycle peaks. Includes a label with the signal price.
Pi Cycle Top & Bottom OscillatorThis TradingView script implements the Pi Cycle Top & Bottom Oscillator, a technical indicator designed to identify potential market tops and bottoms using moving average relationships. Here's a detailed breakdown:
Indicator Overview
Purpose: The indicator calculates an oscillator based on the ratio of a 111-day simple moving average (SMA) to double the 350-day SMA. It identifies potential overbought (market tops) and oversold (market bottoms) conditions.
Visualization: The oscillator is displayed in a standalone pane with dynamic color coding to represent different market conditions.
Inputs
111-Day Moving Average Length (length_111): Adjustable parameter for the short-term moving average. Default is 111 days.
350-Day Moving Average Length (length_350): Adjustable parameter for the long-term moving average. Default is 350 days.
Overheat Threshold (upper_threshold): Percentage level above which the market is considered overheated. Default is 100%.
Cooling Down Threshold (lower_threshold): Percentage level below which the market is cooling down. Default is 75%.
Calculation
Moving Averages:
111-day SMA of the closing price.
350-day SMA of the closing price.
Double the 350-day SMA (
𝑚
𝑎
_
2
_
350
=
𝑚
𝑎
_
350
×
2
ma_2_350=ma_350×2).
Oscillator:
Ratio of the 111-day SMA to double the 350-day SMA, expressed as a percentage:
oscillator
=
𝑚
𝑎
_
111
𝑚
𝑎
_
2
_
350
×
100
oscillator=
ma_2_350
ma_111
×100
Market Conditions
Overheated Market (Potential Top): Oscillator >= Overheat Threshold (100% by default). Highlighted in red.
Cooling Down Market (Potential Bottom): Oscillator <= Cooling Down Threshold (75% by default). Highlighted in green.
Normal Market Condition: Oscillator is between these thresholds. Highlighted in blue.
Visual Features
Dynamic Oscillator Plot:
Color-coded to indicate market conditions:
Red: Overheated.
Green: Cooling down.
Blue: Normal condition.
Threshold Lines:
Red Dashed Line: Overheat Threshold.
Green Dashed Line: Cooling Down Threshold.
White Dashed Line: Additional high-value marker at 30 for reference.
Alerts
Overheat Alert: Triggers when the oscillator crosses the overheat threshold, signaling a potential market top.
Cooling Down Alert: Triggers when the oscillator crosses the cooling down threshold, signaling a potential market bottom.
Use Case
This script is particularly useful for traders seeking early signals of market reversals. The thresholds and dynamic color coding provide visual cues and alerts to aid decision-making in identifying overbought or oversold conditions.
PI indicatorOpening 5-Minute Range Candle (A):
This represents the price range during the first 5 minutes of the trading day.
You can plot this as a vertical line connecting the high and low of the 5-minute candle.
Additionally, you can display the range values (high and low) as labels or in a table.
Multiply Opening Range Candle (A) with π (PI) Value (B):
Calculate the product of the opening range candle (A) and the value of π (approximately 3.14).
Plot this value as a line on the chart.
Optionally, you can label this line with the calculated value.
Divide B by 2 ©:
Divide the value obtained in step 2 (B) by 2.
Plot this value as another line on the chart.
You can also label this line with the calculated value.
Add C to A (D):
Sum the value of C (from step 3) with the opening range candle (A).
Plot this sum as a line on the chart.
Label this line accordingly.
Add C to D (E):
Add the value of C (from step 3) to the value of D (from step 4).
Plot this sum as another line on the chart.
Label it appropriately.
Add D to E (F):
Finally, add the value of D (from step 4) to the value of E (from step 5).
Plot this sum as a line with a distinct style (e.g., dashed or dotted) on the chart.
Label this line as well.
Remember that these steps involve mathematical calculations and plotting lines on the chart. You can customize the appearance (color, style, thickness) of each line and label according to your preferences. Additionally, consider adjusting the time frame to accurately capture the opening 5-minute range at 9:20:50 am.
BBC M2 Pi Ratio IndicatorPi Cycle moving averages expressed as a ratio to visually show the distance and timing of next all time high. Ratio is multiplied by 100,000 to move it into visual range. I recommend drawing a horizontal line at 100,000 for reference too.
Pi Cycle indicator for Bitcoin bull market cyclesA simple implementation of the Pi cycle indicator for BTC. Plots the 111 days SMA and 2*(350 days SMA).
When the 111 days MA reaches above the 350 one, we can consider the market got too high too fast.
Checked for the last cycles of BTC.
CCT Pi Cycle Top/BottomPi Cycle Top/bottom: The Ultimate Market Cycle Indicator
Introduction
The Pi Cycle Top/bottom Indicator is one of the most reliable tools for identifying Bitcoin market cycle peaks and bottoms. Its effectiveness lies in the strategic combination of moving averages that historically align with major market cycle reversals. Unlike traditional moving average crossovers, this indicator applies an advanced iterative approach to pinpoint price extremes with higher accuracy.
This version, built entirely with Pine Script™ v6, introduces unprecedented precision in detecting both the Pi Cycle Top and Pi Cycle Bottom, eliminating redundant labels, optimizing visual clarity, and ensuring the indicator adapts dynamically to evolving market conditions.
What is the Pi Cycle Theory?
The Pi Cycle Top and Pi Cycle Bottom were originally introduced based on a simple yet profound discovery: key moving average crossovers consistently align with macro market tops and bottoms.
Pi Cycle Top: The crossover of the 111-day Simple Moving Average (SMA) and the 350-day SMA multiplied by 2 has historically signaled market tops with astonishing accuracy.
Pi Cycle Bottom: The intersection of the 150-day Exponential Moving Average (EMA) and the 471-day SMA has repeatedly marked significant market bottoms.
While traditional moving average strategies often suffer from lag and false signals, the Pi Cycle Indicator enhances accuracy by applying a range-based scanning methodology, ensuring that only the most critical reversals are detected.
How This Indicator Works
Unlike basic moving average crossovers, this script introduces a unique iteration process to refine the detection of Pi Cycle points. Here’s how it works:
Detecting Crossovers:
Identifies the Golden Cross (bullish crossover) and Death Cross (bearish crossover) for both the Pi Cycle Top and Pi Cycle Bottom.
Iterating Through the Cycle:
Instead of plotting a simple crossover point, this script scans the range between each Golden and Death Cross to identify the absolute lowest price (Pi Cycle Bottom) and highest price (Pi Cycle Top) within that cycle.
Precision Labeling:
The indicator dynamically adjusts label positioning:
If the price at the crossover is below the fast moving average → the label is placed on the moving average with a downward pointer.
If the price is above the fast moving average → the label is placed below the candle with an upward pointer.
This ensures optimal visibility and prevents misleading signal placement.
Advanced Pine Script v6 Features:
Labels and moving average names are only shown on the last candle, reducing chart noise while maintaining clarity.
Offers full user customization, allowing traders to toggle:
Pi Cycle Top & Bottom visibility
Moving average labels
Crossover labels
Why This Indicator is Superior
This script is not just another moving average crossover tool—it is a market cycle tracker designed for long-term investors and analysts who seek:
✔ High-accuracy macro cycle identification
✔ Elimination of false signals using an iterative range-based scan
✔ Automatic detection of market extremes without manual adjustments
✔ Optimized visuals with smart label positioning
✔ First-of-its-kind implementation using Pine Script™ v6 capabilities
How to Use It?
Bull Market Tops:
When the Pi Cycle Top indicator flashes, consider the potential for a market cycle peak.
Historically, Bitcoin has corrected significantly after these signals.
Bear Market Bottoms:
When the Pi Cycle Bottom appears, it suggests a macro accumulation phase.
These signals have aligned perfectly with historical cycle bottoms.
Final Thoughts
The Pi Cycle Top/bottom Indicator is a must-have tool for traders, investors, and analysts looking to anticipate long-term trend reversals with precision. With its refined methodology, superior label positioning, and cutting-edge Pine Script™ v6 optimizations, this is the most reliable version ever created.
Bitcoin: Pi Cycle Top & Bottom Indicator Z ScoreIndicator Overview
The Pi Cycle Top Indicator has historically been effective in picking out the timing of market cycle highs within 3 days.
It uses the 111 day moving average (111DMA) and a newly created multiple of the 350 day moving average, the 350DMA x 2.
Note: The multiple is of the price values of the 350DMA, not the number of days.
For the past three market cycles, when the 111DMA moves up and crosses the 350DMA x 2 we see that it coincides with the price of Bitcoin peaking.
It is also interesting to note that 350 / 111 is 3.153, which is very close to Pi = 3.142. In fact, it is the closest we can get to Pi when dividing 350 by another whole number.
It once again demonstrates the cyclical nature of Bitcoin price action over long time frames. However, in this instance, it does so with a high degree of accuracy over Bitcoin's adoption phase of growth.
Bitcoin Price Prediction Using This Tool
The Pi Cycle Top Indicator forecasts the cycle top of Bitcoin’s market cycles. It attempts to predict the point where Bitcoin price will peak before pulling back. It does this on major high time frames and has picked the absolute tops of Bitcoin’s major price moves throughout most of its history.
How It Can Be Used
Pi Cycle Top is useful to indicate when the market is very overheated. So overheated that the shorter-term moving average, which is the 111-day moving average, has reached an x2 multiple of the 350-day moving average. Historically, it has proved advantageous to sell Bitcoin around this time in Bitcoin's price cycles.
It is also worth noting that this indicator has worked during Bitcoin's adoption growth phase, the first 15 years or so of Bitcoin's life. With the launch of Bitcoin ETF's and Bitcoin's increased integration into the global financial system, this indicator may cease to be relevant at some point in this new market structure.
Added the Z-Score metric for easy classification of the value of Bitcoin according to this indicator.
Created for TRW
CT Reverse Pi Cycle Bitcoin Top IndicatorIntroducing the Reverse BTC Pi Market Cycle Top indicator
Much respect to Philip Swift the original creator of this idea and big thanks to Tradingview author Ninorigo for sharing the script which this indicator is based on.
Philip Swift has noted that:
Using the x2 multiple of the 350 day moving average along with the 111 day moving average provides an interesting market cycle indicator.
Over the past three market cycles, when the 350DMA x2 crosses below the 111DMA, Bitcoin price peaks in its market cycle, this has been accurate to within three days of Bitcoin price topping out.
Here I have modified an existing script by Tradingview author @Ninorigo which shows the moving averages and gives signals upon crossover by adding the following features:
A function which shows the price at which the 350DMA will Cross Below the 111DMA.
(This is calculated from the prior bar closing data and does not repaint)
An “anticipated cross” function which may give a 1 bar advanced warning of a cross.
(this is calculated from current bar values and may change and repaint)
The crossover levels are shown in an info label to the right of the current price.
When there is a BTC Pi Market Cycle Top anticipated cross on the next bar there will be an orange background signal.
When there is an actual BTC Pi Market Cycle Top cross there will be a red background signal
When there is an anticipated cross back there will be a blue background signal
When there is an actual cross back there will be a green background signal
This indicator will show the appropriate moving averages and crossover information from the daily timeframe regardless of the timeframe you are using.
This should be helpful in more accurately identifying the price level where the Pi Market Cycle moving averages will cross denoting a possible market cycle top.
It is interesting to note:
350 / 111 = 3.153
Which is the closest we can get to Pi when dividing 350 by another whole number.
This is a script to give another view and metric on an interesting experimental idea. This is not financial advice.
Bitcoin Pi Cycle TrackerThe Bitcoin Pi Cycle Tracker is based on the widely recognized Pi Cycle Top Indicator, a concept used to identify potential market cycle tops in Bitcoin's price. This implementation combines the 111-day Simple Moving Average (SMA) and the 350-day SMA (multiplied by 2) to detect key crossover points. When the 111-day SMA crosses above the 350-day SMA x2, it signals a potential market peak.
Key Features:
Plots the 111-day SMA (blue) and the 350-day SMA x2 (red) for clear visualization.
Displays visual markers and vertical lines at crossover points to highlight key moments.
Sends alerts for crossovers, helping traders stay ahead of market movements.
This tool is an implementation of the Pi Cycle concept originally popularized by Bitcoin market analysts. Use it to analyze historical price cycles and prepare for significant market events. Please note that while the Pi Cycle Indicator has been historically effective, it should be used alongside other tools for a comprehensive trading strategy.
BTC Pi MultipleThe Pi Multiple is a function of 350 and 111-day moving average. When both intersect and the 111-day MA crosses above, it has historically coincided with a cycle top with a 3-day margin.
With the Pi Multiple, this intersection is visible when the line crosses zero upwards.
The indicator is called the Pi Multiple because 350/111 is close to Pi. It is based on the Pi Cycle Top Indicator developed by Philip Swift and has been modified for better readability by David Bertho.
Half-Pi Cycle CKB top indicator (insanely experimental)This is an insanely experimental script. It's a modified version of the Bitcoin pi-cycle top indicator.
It changes the Bitcoin pi-cycle top formula by halving the number of days in the two DMAs used in calculation, from 350/111 to 175/56. So I call it the half-pi cycle. It correctly picked the top of CKB (Nervos Network) vs USDT on Huobi in spring 2021 within three days.
It probably is a coincidence, and could very easily not pick the next cycle peak correctly at all. Using such a short number of days makes it a little dubious, but I had no choice since there's only so much price history for this coin. I strongly advise you to not make any trades based on this script ! I cannot be held accountable if you lose money due to this script. It hasn't been shown to be accurate multiple times like the Bitcoin pi-cycle top indicator. I simply find this interesting and want to see if it works next time.
Roberts Pi Cycle Top and Bottom Indicator BTCIndicator Overview
The Pi Cycle Top Indicator has historically been effective in picking out the timing of market cycle highs to within 3 days.
It uses the 111 day moving average (111DMA) and a newly created multiple of the 350 day moving average, the 350DMA x 2.
This updated indicator is based on the original x2 Daily Simple Moving Average Pi Cycle Top Indicator for BTCUSD but with the addition of a 3rd 350 SMA
Standard Pi Cycle SMA = 350*2 SMA + 111 SMA
Updated Pi Cycle SMA = 350*2 SMA + 111 SMA + 350 SMA
How It Can Be Used / How to Read:
Chart should be used on BTCUSD only
Chart should be set to Daily Timeframe only
Buy signal RED SMA crosses up over WHITE SMA
Sell Signal RED SMA crosses up over GREEN SMA (a vetical yellow line will indicate the cycle top)
Z-Scored Pi Cycle Top & BottomThis indicator calculates the Z-score of the Pi Cycle Top & Bottom indicator to identify potential market cycle tops and bottoms. It uses the relationship between two EMAs (111 and 350) to assess the price action and applies a Z-score to determine how far the current value deviates from the mean, providing a normalized measure of overbought and oversold conditions.
Summary:
The Z-Scored Pi Cycle Top & Bottom indicator is designed to help traders identify significant market cycle extremes by applying a Z-score to the Pi Cycle Top & Bottom ratio (EMA 111/EMA 350). This normalized score ranges between -2.99 and 2.99, with values near the extremes suggesting potential market tops or bottoms. Green shading indicates a positive Z-score (potential top), while red shading indicates a negative Z-score (potential bottom).
Use this indicator to gauge where the market stands relative to historical tops and bottoms, allowing for more informed decision-making in both bull and bear markets. The indicator also displays the absolute value of the Z-score in the label, helping traders easily visualize how far the current market is from historical extremes.
**I did not come up with or create this indicator I have just z scored it and made it easier for myself to use.***
Bitcoin Pi Cycle Top Indicator - Daily Timeframe Only1 Day Timeframe Only
The Bitcoin Pi Cycle Top Indicator has garnered attention for its historical effectiveness in identifying the timing of Bitcoin's market cycle peaks with remarkable precision, typically within a margin of 3 days.
It utilizes a specific combination of moving averages—the 111-day moving average and a 2x multiple of the 350-day moving average—to signal potential tops in the Bitcoin market.
The 111-day moving average (MA): This shorter-term MA is chosen to reflect more recent price action and trends within the Bitcoin market.
The 350-day moving average (MA) multiplied by 2: This longer-term MA is adjusted to capture broader market trends and cycles over an extended period.
The key premise behind the Bitcoin Pi Cycle Top Indicator is that a potential market top for Bitcoin can be signaled when the 111-day MA crosses above the 350-day MA (which has been doubled). Historically, this crossover event has shown a remarkable correlation with the peaks of Bitcoin's price cycles, making it a tool of interest for traders and investors aiming to anticipate significant market shifts.
#Bitcoin
Golden Level Predictions v1.0Golden Level Predictions (GLP) Trading Indicator
This script introduces a custom trading indicator named "GLP" tailored for the TradingView platform. It offers various price levels derived from Fibonacci calculations and other mathematical models, assisting traders in pinpointing potential overpriced and discounted price levels.
Key Features:
User Inputs : Users have the flexibility to select their desired timeframe, with options ranging from Weekly, Daily, Monthly, and more. Additionally, they can opt to showcase Fibonacci lines and the associated prices within these levels.
Price Level Calculations :
- Employs constants such as the Golden Ratio (PHI) and Pi (PI) to extract various multipliers and factors.
- Assesses if the current asset is a cryptocurrency and tweaks calculations accordingly.
- Determines overpriced and discounted price levels, drawing from the current open price and past data.
Fibonacci Levels :
- For each overpriced and discounted level, the script computes intermediary Fibonacci levels, including 23.6%, 38.2%, 50%, 61.8%, and 78.6% (the 3rd level is excluded due to plot limitations).
- These levels are illustrated on the chart, granting traders a more detailed view of price targets.
Visual Elements :
- Projects horizontal lines to the subsequent selected indicator interval for every calculated price level.
- Exhibits potential percentage gains or losses at each tier, indicating the prospective price alteration upon reaching that level.
- Differentiates overpriced (green) and discounted (red) levels using color codes. A neutral price is depicted in yellow.
Anticipated Close Calculation : Offers a projected closing price for the current timeframe, based on a myriad of factors.
This indicator is particularly effective with cryptocurrencies due to their inherent volatility. It's also compatible with stocks and is most efficient with tickers that provide volume data.
Cosmic Pi Troll CycleBased on the Cosmic Pi cycle for BTC, but this indicator also includes the cycles for ETH and LINK.
All credits to cosmic_indicators for the initial idea.
Confluence Zones & MidpointsConfluence zones between tight Prime / Euler / Pi levels, and their midpoints.
Colour and extend options included.
MathConstantsLibrary "MathConstants"
Mathematical Constants
E() The number e
Log2E() The number log (e)
Log10E() The number log (e)
Ln2() The number log (2)
Ln10() The number log (10)
LnPi() The number log (pi)
Ln2PiOver2() The number log (2*pi)/2
InvE() The number 1/e
SqrtE() The number sqrt(e)
Sqrt2() The number sqrt(2)
Sqrt3() The number sqrt(3)
Sqrt1Over2() The number sqrt(1/2) = 1/sqrt(2) = sqrt(2)/2
HalfSqrt3() The number sqrt(3)/2
Pi() The number pi
Pi2() The number pi*2
PiOver2() The number pi/2
Pi3Over2() The number pi*3/2
PiOver4() The number pi/4
SqrtPi() The number sqrt(pi)
Sqrt2Pi() The number sqrt(2pi)
SqrtPiOver2() The number sqrt(pi/2)
Sqrt2PiE() The number sqrt(2*pi*e)
LogSqrt2Pi() The number log(sqrt(2*pi))
LogSqrt2PiE() The number log(sqrt(2*pi*e))
LogTwoSqrtEOverPi() The number log(2 * sqrt(e / pi))
InvPi() The number 1/pi
TwoInvPi() The number 2/pi
InvSqrtPi() The number 1/sqrt(pi)
InvSqrt2Pi() The number 1/sqrt(2pi)
TwoInvSqrtPi() The number 2/sqrt(pi)
TwoSqrtEOverPi() The number 2 * sqrt(e / pi)
Degree() The number (pi)/180 - factor to convert from Degree (deg) to Radians (rad).
Grad() The number (pi)/200 - factor to convert from NewGrad (grad) to Radians (rad).
PowerDecibel() The number ln(10)/20 - factor to convert from Power Decibel (dB) to Neper (Np). Use this version when the Decibel represent a power gain but the compared values are not powers (e.g. amplitude, current, voltage).
NeutralDecibel() The number ln(10)/10 - factor to convert from Neutral Decibel (dB) to Neper (Np). Use this version when either both or neither of the Decibel and the compared values represent powers.
Catalan() The Catalan constant
Sum(k=0 -> inf){ (-1)^k/(2*k + 1)2 }
EulerMascheroni() The Euler-Mascheroni constant
lim(n -> inf){ Sum(k=1 -> n) { 1/k - log(n) } }
GoldenRatio() The number (1+sqrt(5))/2, also known as the golden ratio
Glaisher() The Glaisher constant
e^(1/12 - Zeta(-1))
Khinchin() The Khinchin constant
prod(k=1 -> inf){1+1/(k*(k+2))^log(k,2)}
