Murrey_Math_MT4_Period_VG_001

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Author: Vladislav Goshkov (VG).
Murrey_Math_MT4_Period_VG_001

This script implements a specialized technical analysis tool based on Murrey Math. Instead of using standard indicators like moving averages, this logic segments the market into specific price zones to help traders identify potential areas of support, resistance, and trend reversals.

Core Logic Overview

The script analyzes historical price data over a user-defined period to determine the high and low boundaries of the current "trading range." It then mathematically subdivides this range into 8 equal parts (octaves). By doing this, it creates a map of the market that tells you where the price is currently located relative to its recent history.

Key Market Zones

The tool identifies three distinct types of levels:

1. Extreme Zones (Oversold and Overbought)

  • Lower Extremes ([0/8] and [-2/8]): These represent areas where the price has fallen significantly. They are considered "Ultimate Support" zones where the market may be exhausted and primed for a bounce upward.
  • Upper Extremes ([8/8] and [+2/8]): These represent areas where the price has risen significantly. They are considered "Ultimate Resistance" zones where the market may be overextended and likely to drop.

2. Pivot and Reversal Points

  • Intermediate Levels ([1/8], [2/8], [6/8], [7/8]): These lines act as transition zones. For example, if the price moves very quickly toward these lines and pauses, it signals a potential "stall" or reversal. They help identify where the current momentum is losing steam.

3. The Trading Range (The "Action" Zone)

  • Major Support/Resistance ([4/8]): This is the pivotal midpoint of the range. It is considered a primary area for finding new entry points; price above this level suggests strong support, while price below it suggests strong resistance.
  • Trading Boundaries ([3/8] and [5/8]): These represent the core trading boundaries. The logic suggests that markets often spend roughly 40% of their time oscillating between these two levels. If the price stays near the [5/8] level for a prolonged period, it may indicate a "Premium Zone" where selling is preferred; conversely, the [3/8] level acts as a "Buy Zone."

Technical Behavior

  • Dynamic Updating: The script constantly monitors the latest market data. Every time a new price point is reached or a significant change occurs, it recalculates these boundaries to ensure they reflect the most current market structure.
  • Visual Mapping: It automatically draws these horizontal levels on your chart and labels them clearly (e.g., identifying which line is a "Major Support" vs. an "Oversold" zone), allowing for a quick visual assessment of where the price sits in the context of the broader range.
  • Automatic Scaling: The logic includes a "fractal" calculation, which helps the script adapt to different asset prices (whether they are very high like some indices or very low like certain currencies) to ensure the octaves remain proportional and accurate.
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Murrey_Math_MT4_Period_VG_001 
//+------------------------------------------------------------------+
//|                                            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

// ============================================================================================
// * 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 = 1440;
extern int StepBack = 0;

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 = 2;        // [-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 = 2;       // [+2]/8

extern color  MarkColor   = Blue;
extern int    MarkNumber  = 217;


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];

string  ln_txt[13],        
        buff_str = "";
        
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() {
//---- indicators
   if(MMPeriod>0)
      NewPeriod   = P*MathCeil(MMPeriod/Period());
   else NewPeriod = P;
   
   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(i=0;i<OctLinesCnt;i++) {
    buff_str = "mml"+i;
    ObjectDelete(buff_str);
    buff_str = "mml_txt"+i;
    ObjectDelete(buff_str);
    }
//----
   return(0);
  }
//+------------------------------------------------------------------+
//| Custom indicator iteration function                              |
//+------------------------------------------------------------------+
int start() {

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

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

   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;
        }
   for( i=0; i<OctLinesCnt; i++ ){
        buff_str = "mml"+i;
        if(ObjectFind(buff_str) == -1) {
           ObjectCreate(buff_str, OBJ_HLINE, 0, Time[0], mml[i]);
           ObjectSet(buff_str, OBJPROP_STYLE, STYLE_SOLID);
           ObjectSet(buff_str, OBJPROP_COLOR, mml_clr[i]);
           ObjectSet(buff_str, OBJPROP_WIDTH, mml_wdth[i]);
           ObjectMove(buff_str, 0, Time[0],  mml[i]);
           }
        else {
           ObjectMove(buff_str, 0, Time[0],  mml[i]);
           }
             
        buff_str = "mml_txt"+i;
        if(ObjectFind(buff_str) == -1) {
           ObjectCreate(buff_str, OBJ_TEXT, 0, Time[mml_shft], mml_shft);
           ObjectSetText(buff_str, ln_txt[i], 8, "Arial", mml_clr[i]);
           ObjectMove(buff_str, 0, Time[mml_shft],  mml[i]);
           }
        else {
           ObjectMove(buff_str, 0, Time[mml_shft],  mml[i]);
           }
        } // for( i=1; i<=OctLinesCnt; i++ ){

   nTime    = Time[0];
   CurPeriod= Period();
   
   string buff_str = "LR_LatestCulcBar";
   if(ObjectFind(buff_str) == -1) {
      ObjectCreate(buff_str, OBJ_ARROW,0, Time[StepBack], Low[StepBack]-2*Point );
      ObjectSet(buff_str, OBJPROP_ARROWCODE, MarkNumber);
      ObjectSet(buff_str, OBJPROP_COLOR, MarkColor);
      }
   else {
      ObjectMove(buff_str, 0, Time[StepBack], Low[StepBack]-2*Point );
      }

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

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