This is the best way to achieve what you're looking for :
$(function(){
var column = ['a','b','c','d','e','f','g','h'];
var $chessboard = $('.chessboard');
for(i=0;i<8;i++)
for (j=0;j<8;j++)
$chessboard.append("<div class='" +
column[i] + "-" + j +
(j%2===0 ? " evencol" : " oddcol") +
(i%2===0 ? " evenrow" : " oddrow") +
"'></div>");
});
It generates the following HTML :
<div class="a-0 evencol evenrow"></div>
<div class="a-1 oddcol evenrow"></div>
<div class="a-2 evencol evenrow"></div>
<div class="a-3 oddcol evenrow"></div>
<div class="a-4 evencol evenrow"></div>
<div class="a-5 oddcol evenrow"></div>
<div class="a-6 evencol evenrow"></div>
<div class="a-7 oddcol evenrow"></div>
<div class="b-0 evencol oddrow"></div>
<div class="b-1 oddcol oddrow"></div>
<div class="b-2 evencol oddrow"></div>
<div class="b-3 oddcol oddrow"></div>
<div class="b-4 evencol oddrow"></div>
<div class="b-5 oddcol oddrow"></div>
<div class="b-6 evencol oddrow"></div>
<div class="b-7 oddcol oddrow"></div>
<div class="c-0 evencol evenrow"></div>
<div class="c-1 oddcol evenrow"></div>
<div class="c-2 evencol evenrow"></div>
<div class="c-3 oddcol evenrow"></div>
<div class="c-4 evencol evenrow"></div>
<div class="c-5 oddcol evenrow"></div>
<div class="c-6 evencol evenrow"></div>
<div class="c-7 oddcol evenrow"></div>
<div class="d-0 evencol oddrow"></div>
<div class="d-1 oddcol oddrow"></div>
<div class="d-2 evencol oddrow"></div>
<div class="d-3 oddcol oddrow"></div>
<div class="d-4 evencol oddrow"></div>
<div class="d-5 oddcol oddrow"></div>
<div class="d-6 evencol oddrow"></div>
<div class="d-7 oddcol oddrow"></div>
<div class="e-0 evencol evenrow"></div>
<div class="e-1 oddcol evenrow"></div>
<div class="e-2 evencol evenrow"></div>
<div class="e-3 oddcol evenrow"></div>
<div class="e-4 evencol evenrow"></div>
<div class="e-5 oddcol evenrow"></div>
<div class="e-6 evencol evenrow"></div>
<div class="e-7 oddcol evenrow"></div>
<div class="f-0 evencol oddrow"></div>
<div class="f-1 oddcol oddrow"></div>
<div class="f-2 evencol oddrow"></div>
<div class="f-3 oddcol oddrow"></div>
<div class="f-4 evencol oddrow"></div>
<div class="f-5 oddcol oddrow"></div>
<div class="f-6 evencol oddrow"></div>
<div class="f-7 oddcol oddrow"></div>
<div class="g-0 evencol evenrow"></div>
<div class="g-1 oddcol evenrow"></div>
<div class="g-2 evencol evenrow"></div>
<div class="g-3 oddcol evenrow"></div>
<div class="g-4 evencol evenrow"></div>
<div class="g-5 oddcol evenrow"></div>
<div class="g-6 evencol evenrow"></div>
<div class="g-7 oddcol evenrow"></div>
<div class="h-0 evencol oddrow"></div>
<div class="h-1 oddcol oddrow"></div>
<div class="h-2 evencol oddrow"></div>
<div class="h-3 oddcol oddrow"></div>
<div class="h-4 evencol oddrow"></div>
<div class="h-5 oddcol oddrow"></div>
<div class="h-6 evencol oddrow"></div>
<div class="h-7 oddcol oddrow"></div>
Now, just add a few lines of CSS, and your result should look like this :

See this Fiddle for a demo.
Alternative implementation :
An alternative approach would be to do this :
$(function(){
var column = ['a','b','c','d','e','f','g','h'];
var currentRow;
var $chessboard = $('.chessboard');
for(i=0;i<8;i++) {
currentRow = $("<div class='" + (i%2===0 ? " even" : " odd") + "'></div>").appendTo($chessboard);
for (j=0;j<8;j++) {
currentRow.append("<div class='" + column[i] + "-" + j + (j%2===0 ? " even" : " odd") + "'></div>");
}
}
});
It generates the following HTML :
<div class="even">
<div class="a-0 even"></div>
<div class="a-1 odd"></div>
<div class="a-2 even"></div>
<div class="a-3 odd"></div>
<div class="a-4 even"></div>
<div class="a-5 odd"></div>
<div class="a-6 even"></div>
<div class="a-7 odd"></div>
</div>
<div class="odd">
<div class="b-0 even"></div>
<div class="b-1 odd"></div>
<div class="b-2 even"></div>
<div class="b-3 odd"></div>
<div class="b-4 even"></div>
<div class="b-5 odd"></div>
<div class="b-6 even"></div>
<div class="b-7 odd"></div>
</div>
<div class="even">
<div class="c-0 even"></div>
<div class="c-1 odd"></div>
<div class="c-2 even"></div>
<div class="c-3 odd"></div>
<div class="c-4 even"></div>
<div class="c-5 odd"></div>
<div class="c-6 even"></div>
<div class="c-7 odd"></div>
</div>
<div class="odd">
<div class="d-0 even"></div>
<div class="d-1 odd"></div>
<div class="d-2 even"></div>
<div class="d-3 odd"></div>
<div class="d-4 even"></div>
<div class="d-5 odd"></div>
<div class="d-6 even"></div>
<div class="d-7 odd"></div>
</div>
<div class="even">
<div class="e-0 even"></div>
<div class="e-1 odd"></div>
<div class="e-2 even"></div>
<div class="e-3 odd"></div>
<div class="e-4 even"></div>
<div class="e-5 odd"></div>
<div class="e-6 even"></div>
<div class="e-7 odd"></div>
</div>
<div class="odd">
<div class="f-0 even"></div>
<div class="f-1 odd"></div>
<div class="f-2 even"></div>
<div class="f-3 odd"></div>
<div class="f-4 even"></div>
<div class="f-5 odd"></div>
<div class="f-6 even"></div>
<div class="f-7 odd"></div>
</div>
<div class="even">
<div class="g-0 even"></div>
<div class="g-1 odd"></div>
<div class="g-2 even"></div>
<div class="g-3 odd"></div>
<div class="g-4 even"></div>
<div class="g-5 odd"></div>
<div class="g-6 even"></div>
<div class="g-7 odd"></div>
</div>
<div class="odd">
<div class="h-0 even"></div>
<div class="h-1 odd"></div>
<div class="h-2 even"></div>
<div class="h-3 odd"></div>
<div class="h-4 even"></div>
<div class="h-5 odd"></div>
<div class="h-6 even"></div>
<div class="h-7 odd"></div>
</div>
With some slight differences in your CSS (compared with the other option, your result should also look like this :

See this Fiddle for a demo.
div.space:even.