JavaScript cambia de color cada segundo

function change(i) {  
   var doc = document.getElementById("background");  
   var color =[ "black", "blue", "brown", "green"];  
   for(i=0; i<color.length; i++){  
        doc.style.backgroundColor = color[i];  
        alert("my color is "+ color[i]);  
/*if (i>=color.length){i=0;}*/  
    }
 }  
setInterval(function changebackground(){change(0)},1000);
KIRITO