Default tax name

gistfile1.php

<?php
/**
 * Display default tax name on archives if no headline is provided
 *
 * @since 1.0.0
 * @param string $headline
 * @param object $term
 * @return string
 */
function ja_tax_default_headline( $headline, $term ) {
	if ( !is_tax( 'my-tax' ) || !empty( $headline ) )
		return $headline;
		
	return $term->name;
}
add_filter( 'genesis_term_meta_headline', 'ja_tax_default_headline', 10, 2 );