Don't use iterators to do this. Maintain your own loop by incrementing a counter in the callback, and recursively calling the operation on the next item.
$.each(myMap, function(_, arr) {
processArray(arr, 0);
});
function processArray(arr, i) {
if (i >= arr.length) return;
setTimeout(function () {
$('#variant').fadeOut("slow", function () {
$(this).text(i + "-" + arr[i]).fadeIn("slow");
// Handle next iteration
processArray(arr, ++i);
});
}, 6000);
}
Though there's a logic error in your code. You're setting the same container to more than one different value at (roughly) the same time. Perhaps you mean for each one to update its own container.