Replacing Header Right widget area conditionally in Genesis. http://sridharkatakam.com/replace-header-right-widget-area-conditionally-genesis/

functions.php

//* Register Header Right Inner Primary sidebar
genesis_register_sidebar( array(
	'id'          => 'header-right-inner',
	'name'        => __( 'Header Right Inner', 'your-theme-slug' ),
	'description' => __( 'This is the header right inner sidebar.', 'your-theme-slug' ),
) );

//* Show Header Right Inner widget area in Header Right location on all pages other than homepage
add_action( 'genesis_before_header', 'sk_replace_header_right_sidebar' );
function sk_replace_header_right_sidebar() {

	if( is_front_page() )
		return;

	remove_action( 'genesis_header', 'genesis_do_header' );
	add_action( 'genesis_header', 'genesis_do_inner_header' );

}

function genesis_do_inner_header() {

	genesis_markup( array(
		'html5'   => '<div %s>',
		'xhtml'   => '<div id="title-area">',
		'context' => 'title-area',
	) );
	do_action( 'genesis_site_title' );
	// do_action( 'genesis_site_description' );
	echo '</div>';

	genesis_markup( array(
		'html5'   => '<aside %s>',
		'xhtml'   => '<div class="widget-area header-widget-area">',
		'context' => 'header-widget-area',
	) );

		do_action( 'genesis_header_right' );
		add_filter( 'wp_nav_menu_args', 'genesis_header_menu_args' );
		add_filter( 'wp_nav_menu', 'genesis_header_menu_wrap' );
		dynamic_sidebar( 'header-right-inner' );
		remove_filter( 'wp_nav_menu_args', 'genesis_header_menu_args' );
		remove_filter( 'wp_nav_menu', 'genesis_header_menu_wrap' );

	genesis_markup( array(
		'html5' => '</aside>',
		'xhtml' => '</div>',
	) );

}