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Try:
<script language="JavaScript"><!--
var splitTime = (8*60)+59;
var days = new Array('sun','mon','tue','wed','thu','fri','sat');
var now = new Date();
var dayNum = now.getDay(); // 0 = sun -> 6 = sat
var nowTime = (now.getHours()*60) + now.getMinutes();
if (nowTime < splitTime) dayNum-=1;
else if (nowTime > splitTime) dayNum+=1;
if (dayNum < 0) dayNum = 6;
if (dayNum > 6) dayNum = 0;
document.write(days[dayNum]);
//--></script>