try this:
<?php
$args = array( 'post_type' => 'tenant', 'posts_per_page'=>5, 'orderby'=>'title','order'=>'ASC');
$loop = new WP_Query( $args );
while ( $loop->have_posts() ) : $loop->the_post();
?>
You will find more info o custom queries here:
http://codex.wordpress.org/Class_Reference/WP_Query