But I didn't like one thing in this tutorial. To show the total count of your comments without Pings/Trackbacks, he writes following function in functions.php:

<?php
add_filter('get_comments_number', 'comment_count', 0);
function comment_count( $count ) {
	global $id;
	$comments_by_type = &separate_comments(get_comments('post_id=' . $id));
	return count($comments_by_type['comment']);
}
?>

This filter will assign globally of course. But in our blog right under the post title we have the number of comments displayed. If there is no comment but for example 2 Pingbacks, it still shows 0 comments, even though Pingbacks are kind of a comment.

The Solution

<?php
if ( ! empty($comments_by_type['comment']) ) :
    $count = count($comments_by_type['comment']);
    ($count !== 1) ? $txt = "Comments" : $txt = "Comment"; ?>
    <h3 id="comments"><?php echo $count . " " . $txt; ?></h3>

The same for Pings and everything is perfect.