Generating Tones of Different Frequencies Using Mathematics

1/*
2This Program Generates Tones of different frequencies using simple  arthimetic operations
3on mathematical equations and Series.
4Idea is to discover  beauty of maths by generating music from it. 
5By Jalal Mansoori
6Thanks to
7Youtube  tutorials
8Facebook posts
9Helpul webpages
10open source community ... 
11*/
12
13
14
15
16#include  "pitches.h"
17#include <string.h>
18#include <math.h> // Math Library for using  functions (sqrt(num), square(num) ... ) to solve equations 
19
20#define SIZE  10
21#define totalShapes 5
22#define pi 3.142
23
24int speakerPin=8;
25int  Area=0;
26
27int firstTerm=0, secondTerm=1, nextTerm=0;
28int numOfTerms=0;
29    
30
31int frequency [SIZE]={
32  NOTE_B0  
33, NOTE_C1  
34, NOTE_CS1 
35,  NOTE_D1  
36, NOTE_DS1 
37, NOTE_E1  
38, NOTE_F1  
39, NOTE_FS1 
40, NOTE_G1  
41, NOTE_GS1 }; // Total 10 Frequency of Different values
42
43
44int frequency2[SIZE]={
45  NOTE_DS6, 
46 NOTE_E6  ,
47 NOTE_F6  ,
48 NOTE_FS6 ,
49 NOTE_G6  ,
50 NOTE_GS6  ,
51 NOTE_A6  ,
52 NOTE_AS6 ,
53 NOTE_B6  ,
54 NOTE_C7  
55  
56  };
57String  shapesName[totalShapes]={"Square", "Rectangle", "Parallelogram", "Triangle",  "Circle"};
58
59void setup() {
60  // put your setup code here, to run once:
61  Serial.begin(9600); // Initializing our Serial monitor bits per second data transfer
62  Serial.println("Press Keys for Generating tones of these shapes");
63 
64  for(int counter=0; counter<5; counter++)
65  {
66    Serial.print(counter+1);
67    Serial.print("                                         ");
68    Serial.println(shapesName[counter]);
69  }
70   
71  Serial.println("Series and Equations");
72  Serial.println("6                                        Fibonacci Series");
73  Serial.println("7                                        Quadratic Equation");
74       
75}
76
77void  loop() {
78  // put your main code here, to run repeatedly:
79  if(Serial.available()>  0)
80  {
81    int incomingByte=Serial.read() - 48 ; // Because IT returns ascii  value of key you press
82    switch(incomingByte)
83    {
84      // 1 for Generating  Sound from Area of Square=s^2  
85      case 1:
86      for(int index=0; index<SIZE;  index++)
87      {
88         Area=square(frequency[index]);
89        playAreaSound(Area);
90      }
91      break;
92      
93      // 2 for Generating Sound from Area of  Rectangle=l*w
94      case 2:
95      for(int index=0; index<SIZE; index=index+2)  //This for loop runs 5 times if you observe the condition
96      {
97        Area=frequency[index]*frequency[index+1];
98        playAreaSound(Area);
99      }
100      break;
101     
102      // 3 for  Generating Sound from Area of Parallelogram=b*h
103      case 3:
104
105      for(int  index=9; index > 0; index=index-2) //This for loop runs 5 times if you observe the  condition but this time from reverse condition
106      {
107        Area=frequency[index]*frequency[index-1];
108        playAreaSound(Area);
109      }     
110      break;
111    
112      //  4 for Generating Sound from Area of Triangle=(1/2)*b*h
113      case 4:
114
115      for(int index=0; index<SIZE-1; index++)
116      {
117        Area=(frequency[index]*frequency[index+1])/2;
118        playAreaSound(Area);
119      }
120      break;
121    
122      // 5 for  Generating Sound from Area of Circle=pi*r^2
123      case 5:
124
125      for(int  index=0; index<SIZE; index++)
126      {
127        Area=pi*square(frequency[index]);
128        playAreaSound(Area);
129      }
130      
131      break;
132
133      //  6 for Fibonacci Series in which next term =sum of Two preceding Terms (1, 1, 2,  3, 5, 8, 13 ...and so on)
134      case 6:
135        
136      Serial.println("Starting  Ten Terms of Fibonacci Series !  ");
137      
138      while(numOfTerms < 10)  // Starting 10 Terms will Generate fibonacci sound 
139      {
140        nextTerm=firstTerm+secondTerm;//  These three statements generates next Term
141        firstTerm=secondTerm;
142        secondTerm=nextTerm;
143        Area=nextTerm;
144        Serial.print(Area);
145        Serial.print(",");
146        playAreaSound(Area*frequency[numOfTerms]);
147        numOfTerms++;
148      }
149      Serial.println("");
150     //initializing  variables to its inital values 
151      numOfTerms=0;
152      firstTerm=0; 
153      secondTerm=1; 
154      nextTerm=0;
155      
156      break;
157
158      //For  Quadratic Equation
159      case 7:
160
161      for(int index=0; index<SIZE; index++)
162      {
163        playAreaSound(frequency2[index]);
164      }
165      
166      break;
167   
168      
169    } 
170  }
171  
172}
173
174void playAreaSound(int freq)
175{
176  tone(speakerPin, freq, 500);
177  delay(10);
178}
179