Reply to http://www.studiopress.com/forums/topic/building-a-custom-taxonomy-page/

CPT custom taxonomy loop

// Customize the Loop
remove_action( 'genesis_loop', 'genesis_do_loop' );
add_action( 'genesis_loop', 'my_cpt_taxonomy_custom_loop' );

function my_cpt_taxonomy_custom_loop() {

	global $paged;
	global $query_args; // any wp_query() args
	
	// Get term
	$term = get_query_var( 'term' );
	
    	$args = array( 	'order'		=> 'ASC',
			'orderby' 	=> 'title',
			'tax_query' 	=> array(
				'relation' => 'OR',
				array(
					'taxonomy' => 'first-taxonomy',
					'field' => 'slug',
					'terms' => $term
				),
				array(
					'taxonomy' => 'second-taxonomy',
					'field' => 'slug',
					'terms' => $term
				),
				array(
					'taxonomy' => 'third-taxonomy',
					'field' => 'slug',
					'terms' => $term
				)
			),
			'paged' 	=> $paged 
	);
	
	// Accepts WP_Query args (http://codex.wordpress.org/Class_Reference/WP_Query)
    	genesis_custom_loop( wp_parse_args( $query_args , $args ) );

}