How to fade multiple LEDs at different speeds simultaneously

I'm trying to program about 200 LEDs to fade in and out simultaneously and at different speeds and using a softPWM function that imitates analog output (so that I can use digital pins, though I'm open to using analog write if there is a way to get enough pins cheaply) Does anyone know how to do this?

So far I have the code below, which fades 5 LEDs simultaneously and to different brightnesses, but not at different speeds.

I'm really new to this, so please help!

 LEDPWMtest
fades 5 LEDs up and down using digitalWrite to do PWM "by hand"
Wiring (replicate for all 5 LEDs, separate protection resistors)
 * digital pin to LED anode (long leg)
 * LED cathode to protection resistor to GND
 pct 31jan2014 
 */

int LED1 = 3;      // set pin numbers for LEDs
int LED2 = 4;
int LED3 = 5;
int LED4 = 6;
int LED5 = 7;
int br1 = 2;    // set relative brightness for each LED
int br2 = 4;
int br3 = 8;
int br4 = 16;
int br5 = 32;
int rest = 2000;   // wait time after fade down, before looping

#define fadeSpeed 4000
void setup() {
  // set LED pin as output:
  pinMode(LED1, OUTPUT);  
  pinMode(LED2, OUTPUT);
  pinMode(LED3, OUTPUT);  
  pinMode(LED4, OUTPUT);
  pinMode(LED5, OUTPUT);  
}

void loop() {
  // for loop to fade up:
  for(int fade=1;fade<254;fade++) {
  softPWM(LED1,fade,br1);
  softPWM(LED2,fade,br2);
  softPWM(LED3,fade,br3);
  softPWM(LED4,fade,br4);
  softPWM(LED5,fade,br5);
  }  
 
  // for loop to fade down:
  for(int fade=254;fade>1;fade--) {
  softPWM(LED1,fade,br1);
  softPWM(LED2,fade,br2);
  softPWM(LED3,fade,br3);
  softPWM(LED4,fade,br4);
  softPWM(LED5,fade,br5);
  }
  delay(rest);
}

void softPWM(int pin, int index, int stpsz) { // software PWM function that fakes analog output
digitalWrite(pin,HIGH);
delayMicroseconds(index*stpsz);
digitalWrite(pin,LOW); 
delayMicroseconds((255-index)*stpsz);
}

You need to use the blink without delay technique as shown in the IDE and implement a state machine with it.
http://www.thebox.myzen.co.uk/Tutorial/State_Machine.html
With so many LEDs you will need to learn to use arrays if your code is ever going to fit.
http://www.thebox.myzen.co.uk/Tutorial/Arrays.html

Thank you! The blink without delay worked really well.