Murrey Math Lines F

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Author: Vladislav Goshkov (VG).
Murrey Math Lines F

Overview of Logic and Functionality

This script is designed to identify key price levels on a financial chart by utilizing a mathematical approach known as "Murray's Numbers." Its primary goal is to break down the price action into a series of significant support and resistance zones, helping traders visualize where the market might stall, reverse, or continue its current trend.

Core Mathematical Logic

The script operates by analyzing the highest and lowest price points over a specific look-back period. It then performs the following logical steps:

  • Range Analysis: It determines the "range" (the distance between the high and low) and calculates a specific "octave." This is a fractal-based calculation used to find the natural "base" or "floor" of the current price movement.
  • Pivot Point Identification: Based on the calculated range and base, the script identifies multiple specific points (referred to in the code as x1 through x6). These points represent various degrees of importance within the price move.
  • Weighting and Distribution: The script evaluates these points to determine the "Trading Range." It calculates a "Final High" and "Final Low" by summing these weighted pivot points.

The Eight-Part Scale (The 8/8 System)

Once the trading range is established, the script divides that range into eight equal parts. This creates a hierarchy of levels, each with a specific meaning for the trader:

  1. The Extreme Boundaries: The outermost levels (like -2/8 and +2/8) represent "overshoot" zones. These are areas where the price has moved extremely far from the norm and is likely to face significant exhaustion.
  2. Major Support and Resistance: The central levels (specifically the 4/8 mark) are identified as the most pivotal points. When the price is above this level, it acts as strong support; when below, it acts as heavy resistance. This is often considered a primary area for entering new trades.
  3. Trading Zones: Levels like 3/8 and 5/8 define the "Premium" and "Discount" zones. The logic suggests that markets spend a significant amount of time moving between these levels. If the price lingers near one of these boundaries, it provides a hint regarding whether the market is ready to shift direction or enter a consolidation phase.
  4. Stall and Reverse Points: The remaining intermediate lines identify "weak" areas where the price might pause or briefly stall before deciding on its next major move.

Visual Representation

For the user, the script translates this complex math into a clean visual overlay:

  • Dynamic Labeling: It places text on the chart that identifies each specific level (e.g., "Major Support," "Top of Trading Range").
  • Color-Coded Levels: Each of the 13 levels is assigned a unique color and thickness, allowing you to distinguish at a glance between a major pivot point and a minor stall zone.
  • Markers: It places specific symbols (arrows) on the chart to pinpoint the exact price coordinates for each calculated level, ensuring high precision in identifying where the mathematical "break" occurs.
Miscellaneous
Implements a curve of type %1
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Murrey Math Lines F 
//+------------------------------------------------------------------+
//|                                            Murrey_Math_MT_VG.mq4 |
//|                       Copyright © 2004, Vladislav Goshkov (VG).  |
//|                                           4vg@mail.ru            |
//+------------------------------------------------------------------+
#property copyright "Vladislav Goshkov (VG)."
#property link      "4vg@mail.ru"

#property indicator_chart_window
#property indicator_buffers 13
#property indicator_color1 LightBlue
#property indicator_color2 Blue
#property indicator_color3 DarkGreen
#property indicator_color4 Red
#property indicator_color5 Magenta
#property indicator_color6 LightBlue
#property indicator_color7 Blue
#property indicator_color8 DarkGreen


double buffer[];

// ============================================================================================
// * Ëèíèè 8/8 è 0/8 (Îêîí÷àòåëüíîå ñîïðîòèâëåíèå).
// * Ýòè ëèíèè ñàìûå ñèëüíûå è îêàçûâàþò ñèëüíåéøèå ñîïðîòèâëåíèÿ è ïîääåðæêó.
// ============================================================================================
//* Ëèíèÿ 7/8  (Ñëàáàÿ, ìåñòî äëÿ îñòàíîâêè è ðàçâîðîòà). Weak, Stall and Reverse
//* Ýòà ëèíèÿ ñëàáà. Åñëè öåíà çàøëà ñëèøêîì äàëåêî è ñëèøêîì áûñòðî è åñëè îíà îñòàíîâèëàñü îêîëî ýòîé ëèíèè, 
//* çíà÷èò îíà ðàçâåðíåòñÿ áûñòðî âíèç. Åñëè öåíà íå îñòàíîâèëàñü îêîëî ýòîé ëèíèè, îíà ïðîäîëæèò äâèæåíèå ââåðõ ê 8/8.
// ============================================================================================
//* Ëèíèÿ 1/8  (Ñëàáàÿ, ìåñòî äëÿ îñòàíîâêè è ðàçâîðîòà). Weak, Stall and Reverse
//* Ýòà ëèíèÿ ñëàáà. Åñëè öåíà çàøëà ñëèøêîì äàëåêî è ñëèøêîì áûñòðî è åñëè îíà îñòàíîâèëàñü îêîëî ýòîé ëèíèè, 
//* çíà÷èò îíà ðàçâåðíåòñÿ áûñòðî ââåðõ. Åñëè öåíà íå îñòàíîâèëàñü îêîëî ýòîé ëèíèè, îíà ïðîäîëæèò äâèæåíèå âíèç ê 0/8.
// ============================================================================================
//* Ëèíèè 6/8 è 2/8 (Âðàùåíèå, ðàçâîðîò). Pivot, Reverse
//* Ýòè äâå ëèíèè óñòóïàþò â ñâîåé ñèëå òîëüêî 4/8 â ñâîåé ñïîñîáíîñòè ïîëíîñòüþ ðàçâåðíóòü öåíîâîå äâèæåíèå.
// ============================================================================================
//* Ëèíèÿ 5/8 (Âåðõ òîðãîâîãî äèàïàçîíà). Top of Trading Range
//* Öåíû âñåõ ðûíêîâ òðàòÿò 40% âðåìåíè, íà äâèæåíèå ìåæäó 5/8 è 3/8 ëèíèÿìè. 
//* Åñëè öåíà äâèãàåòñÿ îêîëî ëèíèè 5/8 è îñòàåòñÿ îêîëî íåå â òå÷åíèè 10-12 äíåé, ðûíîê ñêàçàë ÷òî ñëåäóåò 
//* ïðîäàâàòü â ýòîé «ïðåìèàëüíîé çîíå», ÷òî è äåëàþò íåêîòîðûå ëþäè, íî åñëè öåíà ñîõðàíÿåò òåíäåíöèþ îñòàâàòüñÿ 
//* âûøå 5/8, òî îíà è îñòàíåòñÿ âûøå íåå. Åñëè, îäíàêî, öåíà ïàäàåò íèæå 5/8, òî îíà ñêîðåå âñåãî ïðîäîëæèò 
//* ïàäàòü äàëåå äî ñëåäóþùåãî óðîâíÿ ñîïðîòèâëåíèÿ.
// ============================================================================================
//* Ëèíèÿ 3/8 (Äíî òîðãîâîãî äèàïàçîíà). Bottom of Trading Range
//* Åñëè öåíû íèæå ýòîé ëèíè è äâèãàþòñÿ ââåðõ, òî öåíå áóäåò ñëîæíî ïðîáèòü ýòîò óðîâåíü. 
//* Åñëè ïðîáèâàþò ââåðõ ýòó ëèíèþ è îñòàþòñÿ âûøå íåå â òå÷åíèè 10-12 äíåé, çíà÷èò öåíû îñòàíóòñÿ âûøå ýòîé ëèíèè 
//* è ïîòðàòÿò 40% âðåìåíè äâèãàÿñü ìåæäó ýòîé ëèíèåé è 5/8 ëèíèåé.
// ============================================================================================
//* Ëèíèÿ 4/8 (Ãëàâíàÿ ëèíèÿ ñîïðîòèâëåíèÿ/ïîääåðæêè). Major Support/Resistance
//* Ýòà ëèíèÿ îáåñïå÷èâàåò íàèáîëüøåå ñîïðîòèâëåíèå/ïîääåðæêó. Ýòîò óðîâåíü ÿâëÿåòñÿ ëó÷øèì äëÿ íîâîé ïîêóïêè èëè ïðîäàæè. 
//* Åñëè öåíà íàõîäèòñÿ âûøå 4/8, òî ýòî ñèëüíûé óðîâåíü ïîääåðæêè. Åñëè öåíà íàõîäèòñÿ íèæå 4/8, òî ýòî ïðåêðàñíûé óðîâåíü 
//* ñîïðîòèâëåíèÿ.
// ============================================================================================
extern int P = 64;
extern int MMPeriod = 0;
extern int  NumBars = 500;


extern color  mml_clr_m_2_8 = White;       // [-2]/8
extern color  mml_clr_m_1_8 = White;       // [-1]/8
extern color  mml_clr_0_8   = Aqua;        //  [0]/8
extern color  mml_clr_1_8   = Yellow;      //  [1]/8
extern color  mml_clr_2_8   = Red;         //  [2]/8
extern color  mml_clr_3_8   = Green;       //  [3]/8
extern color  mml_clr_4_8   = Blue;        //  [4]/8
extern color  mml_clr_5_8   = Green;       //  [5]/8
extern color  mml_clr_6_8   = Red;         //  [6]/8
extern color  mml_clr_7_8   = Yellow;      //  [7]/8
extern color  mml_clr_8_8   = Aqua;        //  [8]/8
extern color  mml_clr_p_1_8 = White;       // [+1]/8
extern color  mml_clr_p_2_8 = White;       // [+2]/8


extern int    mml_wdth_m_2_8 = 1;        // [-2]/8
extern int    mml_wdth_m_1_8 = 1;       // [-1]/8
extern int    mml_wdth_0_8   = 1;        //  [0]/8
extern int    mml_wdth_1_8   = 1;      //  [1]/8
extern int    mml_wdth_2_8   = 1;         //  [2]/8
extern int    mml_wdth_3_8   = 1;       //  [3]/8
extern int    mml_wdth_4_8   = 1;        //  [4]/8
extern int    mml_wdth_5_8   = 1;       //  [5]/8
extern int    mml_wdth_6_8   = 1;         //  [6]/8
extern int    mml_wdth_7_8   = 1;      //  [7]/8
extern int    mml_wdth_8_8   = 1;        //  [8]/8
extern int    mml_wdth_p_1_8 = 1;       // [+1]/8
extern int    mml_wdth_p_2_8 = 1;       // [+2]/8

extern color  MarkColor   = Blue;
extern int    MarkNumber  = 158;


double  dmml = 0,
        dvtl = 0,
        sum  = 0,
        v1 = 0,
        v2 = 0,
        mn = 0,
        mx = 0,
        x1 = 0,
        x2 = 0,
        x3 = 0,
        x4 = 0,
        x5 = 0,
        x6 = 0,
        y1 = 0,
        y2 = 0,
        y3 = 0,
        y4 = 0,
        y5 = 0,
        y6 = 0,
        octave = 0,
        fractal = 0,
        range   = 0,
        finalH  = 0,
        finalL  = 0,
        mml[13],
        aa;
string  ln_txt[13],        
        buff_str = "",
        buff_str2 = "";
int     
        bn_v1   = 0,
        bn_v2   = 0,
        OctLinesCnt = 13,
        mml_thk = 8,
        mml_clr[13],
        mml_wdth[13],
        mml_shft = 35,
        nTime = 0,
        CurPeriod = 0,
        nDigits = 0,
        i = 0;
int NewPeriod=0;
//+------------------------------------------------------------------+
//| Custom indicator initialization function                         |
//+------------------------------------------------------------------+
int init() {
for(int i=0;i<WindowsTotal();i++){
   ObjectsDeleteAll(i); 
      }

 SetIndexStyle(0,DRAW_ARROW);
   SetIndexArrow(0,160); 
   SetIndexBuffer(0,buffer);
   SetIndexEmptyValue(0,0.0);
   SetIndexLabel(0,"0");
//---- indicators
   if(MMPeriod>0 )
   {
      NewPeriod   = P*MathCeil(MMPeriod/Period());
      Comment("MMPeriod= ",MMPeriod); 
      }  
   else 
   { 
   NewPeriod = P;
   Comment("MMPeriod= ",Period());  
   }

   ln_txt[0]  = "               [-2/8]P";// "extremely overshoot [-2/8]";// [-2/8]
   ln_txt[1]  = "               [-1/8]P";// "overshoot [-1/8]";// [-1/8]
   ln_txt[2]  = "               [0/8]P";// "Ultimate Support - extremely oversold [0/8]";// [0/8]
   ln_txt[3]  = "               [1/8]P";// "Weak, Stall and Reverse - [1/8]";// [1/8]
   ln_txt[4]  = "               [2/8]P";// "Pivot, Reverse - major [2/8]";// [2/8]
   ln_txt[5]  = "               [3/8]P";// "Bottom of Trading Range - [3/8], if 10-12 bars then 40% Time. BUY Premium Zone";//[3/8]
   ln_txt[6]  = "               [4/8]P";// "Major Support/Resistance Pivotal Point [4/8]- Best New BUY or SELL level";// [4/8]
   ln_txt[7]  = "               [5/8]P";// "Top of Trading Range - [5/8], if 10-12 bars then 40% Time. SELL Premium Zone";//[5/8]
   ln_txt[8]  = "               [6/8]P";// "Pivot, Reverse - major [6/8]";// [6/8]
   ln_txt[9]  = "               [7/8]P";// "Weak, Stall and Reverse - [7/8]";// [7/8]
   ln_txt[10] = "               [8/8]P";// "Ultimate Resistance - extremely overbought [8/8]";// [8/8]
   ln_txt[11] = "               [+1/8]P";// "overshoot [+1/8]";// [+1/8]
   ln_txt[12] = "               [+2/8]P";// "extremely overshoot [+2/8]";// [+2/8]
   
   //mml_shft = 3;
   mml_thk  = 3;

   // Íà÷àëüíàÿ óñòàíîâêà öâåòîâ óðîâíåé îêòàâ è òîëùèíû ëèíèé
   mml_clr[0]  = mml_clr_m_2_8;   mml_wdth[0] = mml_wdth_m_2_8; // [-2]/8
   mml_clr[1]  = mml_clr_m_1_8;   mml_wdth[1] = mml_wdth_m_1_8; // [-1]/8
   mml_clr[2]  = mml_clr_0_8;     mml_wdth[2] = mml_wdth_0_8;   //  [0]/8
   mml_clr[3]  = mml_clr_1_8;     mml_wdth[3] = mml_wdth_1_8;   //  [1]/8
   mml_clr[4]  = mml_clr_2_8;     mml_wdth[4] = mml_wdth_2_8;   //  [2]/8
   mml_clr[5]  = mml_clr_3_8;     mml_wdth[5] = mml_wdth_3_8;   //  [3]/8
   mml_clr[6]  = mml_clr_4_8;     mml_wdth[6] = mml_wdth_4_8;   //  [4]/8
   mml_clr[7]  = mml_clr_5_8;     mml_wdth[7] = mml_wdth_5_8;   //  [5]/8
   mml_clr[8]  = mml_clr_6_8;     mml_wdth[8] = mml_wdth_6_8;   //  [6]/8
   mml_clr[9]  = mml_clr_7_8;     mml_wdth[9] = mml_wdth_7_8;   //  [7]/8
   mml_clr[10] = mml_clr_8_8;     mml_wdth[10]= mml_wdth_8_8;   //  [8]/8
   mml_clr[11] = mml_clr_p_1_8;   mml_wdth[11]= mml_wdth_p_1_8; // [+1]/8
   mml_clr[12] = mml_clr_p_2_8;   mml_wdth[12]= mml_wdth_p_2_8; // [+2]/8
   
   
//----
   return(0);
  }

//+------------------------------------------------------------------+
//| Custor indicator deinitialization function                       |
//+------------------------------------------------------------------+
int deinit() {
//---- TODO: add your code here
Comment(" ");   
 for(int i=0;i<WindowsTotal();i++){
   ObjectsDeleteAll(i); 
      }
//----
   return(0);
  }
//+------------------------------------------------------------------+
//| Custom indicator iteration function                              |
//+------------------------------------------------------------------+
int start() {

//---- TODO: add your code here

  double ExtCountedBars=IndicatorCounted();
     int   pos=NumBars-ExtCountedBars-1;

   while(pos>=0)
     {

if( (nTime != Time[pos]) || (CurPeriod != Period()) ) {
   
  //price
   bn_v1 = Lowest(NULL,0,MODE_LOW,NewPeriod+pos,pos);
   bn_v2 = Highest(NULL,0,MODE_HIGH,NewPeriod+pos,pos);

   v1 = Low[bn_v1];
   v2 = High[bn_v2];

//determine fractal.....
   if( v2<=250000 && v2>25000 )
   fractal=100000;
   else
     if( v2<=25000 && v2>2500 )
     fractal=10000;
     else
       if( v2<=2500 && v2>250 )
       fractal=1000;
       else
         if( v2<=250 && v2>25 )
         fractal=100;
         else
           if( v2<=25 && v2>12.5 )
           fractal=12.5;
           else
             if( v2<=12.5 && v2>6.25)
             fractal=12.5;
             else
               if( v2<=6.25 && v2>3.125 )
               fractal=6.25;
               else
                 if( v2<=3.125 && v2>1.5625 )
                 fractal=3.125;
                 else
                   if( v2<=1.5625 && v2>0.390625 )
                   fractal=1.5625;
                   else
                     if( v2<=0.390625 && v2>0)
                     fractal=0.1953125;
      
   range=(v2-v1);
   sum=MathFloor(MathLog(fractal/range)/MathLog(2));
   octave=fractal*(MathPow(0.5,sum));
   mn=MathFloor(v1/octave)*octave;
   if( (mn+octave)>v2 )
   mx=mn+octave; 
   else
     mx=mn+(2*octave);


// calculating xx
//x2
    if( (v1>=(3*(mx-mn)/16+mn)) && (v2<=(9*(mx-mn)/16+mn)) )
    x2=mn+(mx-mn)/2; 
    else x2=0;
//x1
    if( (v1>=(mn-(mx-mn)/8))&& (v2<=(5*(mx-mn)/8+mn)) && (x2==0) )
    x1=mn+(mx-mn)/2; 
    else x1=0;

//x4
    if( (v1>=(mn+7*(mx-mn)/16))&& (v2<=(13*(mx-mn)/16+mn)) )
    x4=mn+3*(mx-mn)/4; 
    else x4=0;

//x5
    if( (v1>=(mn+3*(mx-mn)/8))&& (v2<=(9*(mx-mn)/8+mn))&& (x4==0) )
    x5=mx; 
    else  x5=0;

//x3
    if( (v1>=(mn+(mx-mn)/8))&& (v2<=(7*(mx-mn)/8+mn))&& (x1==0) && (x2==0) && (x4==0) && (x5==0) )
    x3=mn+3*(mx-mn)/4; 
    else x3=0;

//x6
    if( (x1+x2+x3+x4+x5) ==0 )
    x6=mx; 
    else x6=0;

     finalH = x1+x2+x3+x4+x5+x6;
// calculating yy
//y1
    if( x1>0 )
    y1=mn; 
    else y1=0;

//y2
    if( x2>0 )
    y2=mn+(mx-mn)/4; 
    else y2=0;

//y3
    if( x3>0 )
    y3=mn+(mx-mn)/4; 
    else y3=0;

//y4
    if( x4>0 )
    y4=mn+(mx-mn)/2; 
    else y4=0;

//y5
    if( x5>0 )
    y5=mn+(mx-mn)/2; 
    else y5=0;

//y6
    if( (finalH>0) && ((y1+y2+y3+y4+y5)==0) )
    y6=mn; 
    else y6=0;

    finalL = y1+y2+y3+y4+y5+y6;

    for( i=0; i<OctLinesCnt; i++) {
         mml[i] = 0;
         }
         
   dmml = (finalH-finalL)/8;

   mml[0] =(finalL-dmml*2); //-2/8
   for( i=1; i<OctLinesCnt; i++) {
        mml[i] = mml[i-1] + dmml;
        }
        
     

  
  
 // if( ObjectFind(buff_str2)  
 
  if( 1==1 ) 
  {
   for( i=0; i<1; i++ ){
   
   buff_str2 = "k";  
  
  
   ObjectCreate(buff_str2, OBJ_VLINE , 0,Time[pos], mml[i]);
   
   ObjectSet(buff_str2, OBJPROP_STYLE, STYLE_SOLID);
   ObjectSet(buff_str2, OBJPROP_COLOR, mml_clr[i]);
   ObjectSet(buff_str2, OBJPROP_WIDTH, mml_wdth[i]);
   
  }
   }
   
   
   
   for( i=0; i<OctLinesCnt; i++ ){
      
     buff_str = "mml"+i+Time[pos];

    


  
  
      ObjectCreate(buff_str, OBJ_ARROW ,0,Time[pos],mml[i]+3*Point);
       ObjectSet(buff_str, OBJPROP_ARROWCODE, MarkNumber);
       
        ObjectSet(buff_str, OBJPROP_COLOR, mml_clr[i]);
        ObjectSet(buff_str, OBJPROP_WIDTH, mml_wdth[i]);
    
         
       buff_str = "mml_txt"+i;
      if(ObjectFind(buff_str) == -1) {
         ObjectCreate(buff_str, OBJ_TEXT, 0, Time[0], mml_shft);
       ObjectSetText(buff_str, ln_txt[i], 8, "Arial", mml_clr[i]);
        ObjectMove(buff_str, 0, Time[0],  mml[i]);
          }
       else {
         ObjectMove(buff_str, 0, Time[0],  mml[i]);
           }
     
    } // for( i=1; i<=OctLinesCnt; i++ ){

  
  
  
  
  
  
  
  
   nTime    = Time[pos];
   CurPeriod= Period();
   





pos--;


}

}
 
//---- End Of Program
  return(0);
  }
//+------------------------------------------------------------------+

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