Untested but you could try this:

add_filter( 'somdn_downloads_capabilities', 'somdn_downloads_capabilities_editor', 20, 1 );
function somdn_downloads_capabilities_editor( $args ) {

	$editor_capabilities = array(
		'edit_post'          => 'edit_posts',
		'read_post'          => 'edit_posts',
		'delete_post'        => 'edit_posts',
		'edit_posts'         => 'edit_posts',
		'edit_others_posts'  => 'edit_posts',
		'delete_posts'       => 'edit_posts',
		'publish_posts'      => 'edit_posts',
		'read_private_posts' => 'edit_posts',
		'create_posts' => false
	);

	return $editor_capabilities;

}

The "edit_posts" capability is for editors and above. More info here.

For any of the above abilities like delete posts that you don't want editors to be able to do, use the "update_core" capability instead of "edit_posts".

Thanks for the quick reply.  I've implemented your filter and I'm still getting the ..

"You need higher level of permission.
Sorry, you are not allowed to edit posts in this post type."

Thanks

Although I've yet to wrap my brain around how the 'map_meta_cap' works.. setting it to false seems to do the trick.

Combining that and your prev code.. I'm setting the args in the 'somdn_downloads_args' filter, at register_post_type().

(dunno why I didn't notice that filter before)

add_filter( 'somdn_downloads_args', 'dlx_somdn_downloads_args');

function dlx_somdn_downloads_args($somdn_tracked_downloads_args) {

        $somdn_tracked_downloads_args[capabilities] = array(
            'edit_post'          => 'edit_posts',
            'read_post'          => 'edit_posts',
            'delete_post'        => 'edit_posts',
            'edit_posts'         => 'edit_posts',
            'edit_others_posts'  => 'edit_posts',
            'delete_posts'       => 'edit_posts',
            'publish_posts'      => 'edit_posts',
            'read_private_posts' => 'edit_posts',
            'create_posts' => false
        );

        $somdn_tracked_downloads_args[map_meta_cap] = false;

    return $somdn_tracked_downloads_args;
}

Awesome mate. Worth checking to make sure an account with less permissions than an Editor is unable to access them.