잘만드셨네요.
코딩 부분만 대폭 재미 삼아서 대폭 줄여 봤어요.
가상시뮬레이터로 테스트 해 봤네요.
https://www.tinkercad.com/things/edUwbt2iTwn

char memo[16][17] ={
  "In a ca-vern",
  "In a can-yon", 
  "ex-ca-vat-ing",
  "for a mine", 
  "dwelt a min-er",
  "for-ty nin-er",
  "and his daughter",
  "Cle-men-tine",
  "Oh my dar-ling",
  "Oh my dar-ling",
  "Oh my dar-ling",
  "Cle-men-tine",
  "You are lost and",
  "gone for-ev-er",
  "dread-ful sor-ry",
  "Cle-men-tine"   
};

void setup() {
  lcd.begin(16,2);
  lcd.setCursor(0, 0);
  lcd.print("Hello Steemit Guys!");
  lcd.setCursor(0,1);
  lcd.print("Enjoy Clementine!");
  delay(3000);
  
  for(int i=0;i<15;i++){
    if(i%2 == 0){
        lcd.clear();
        lcd.setCursor(0,0);     
    }
    else{
        lcd.setCursor(0,1);     
    }
    lcd.print(memo[i]);
   if(i==14){
    lcd.setCursor(0,1);     
    lcd.print(memo[i+1]);
   }
    for(int j=i*4;j<4+i*4;j++){
        int noteDuration = 1000 / noteDurations[j];
        tone(speakerPin, melody[j], noteDuration);
        int pauseBetweenNotes = noteDuration * 1.30;
        delay(pauseBetweenNotes);
        noTone(speakerPin);// stop the tone playing:
    }
  }  
}