Index: src/wp-includes/capabilities.php
===================================================================
--- src/wp-includes/capabilities.php	(revision 41112)
+++ src/wp-includes/capabilities.php	(working copy)
@@ -488,6 +488,15 @@
 			$caps[] = 'manage_options';
 		}
 		break;
+	case 'delete_customize_changeset':
+	case 'edit_customize_changeset':
+	case 'read_customize_changeset':
+	case 'edit_customize_changesets':
+	case 'edit_others_customize_changesets':
+	case 'publish_customize_changesets':
+	case 'read_private_customize_changesets':
+		$caps = map_meta_cap( 'customize', $user_id, $args );
+		break;
 	default:
 		// Handle meta capabilities for custom post types.
 		global $post_type_meta_caps;
Index: src/wp-includes/post.php
===================================================================
--- src/wp-includes/post.php	(revision 41112)
+++ src/wp-includes/post.php	(working copy)
@@ -168,7 +168,7 @@
 		),
 		'public' => false,
 		'_builtin' => true, /* internal use only. don't use this when registering your own post type. */
-		'map_meta_cap' => true,
+		'map_meta_cap' => false,
 		'hierarchical' => false,
 		'rewrite' => false,
 		'query_var' => false,
@@ -177,21 +177,13 @@
 		'supports' => array( 'title', 'author' ),
 		'capability_type' => 'customize_changeset',
 		'capabilities' => array(
-			'create_posts' => 'customize',
-			'delete_others_posts' => 'customize',
-			'delete_post' => 'customize',
-			'delete_posts' => 'customize',
-			'delete_private_posts' => 'customize',
-			'delete_published_posts' => 'customize',
-			'edit_others_posts' => 'customize',
-			'edit_post' => 'customize',
-			'edit_posts' => 'customize',
-			'edit_private_posts' => 'customize',
-			'edit_published_posts' => 'do_not_allow',
-			'publish_posts' => 'customize',
+			'delete_others_posts' => 'delete_others_customize_changesets',
+			'delete_posts' => 'delete_customize_changesets',
+			'delete_private_posts' => 'delete_private_customize_changesets',
+			'delete_published_posts' => 'delete_published_customize_changesets',
+			'edit_private_posts' => 'edit_private_customize_changesets',
+			'edit_published_posts' => 'edit_published_customize_changesets',
 			'read' => 'read',
-			'read_post' => 'customize',
-			'read_private_posts' => 'customize',
 		),
 	) );