diff --git a/git-gui/git-gui.sh b/git-gui/git-gui.sh
index 037a1f2..718277a 100755
--- a/git-gui/git-gui.sh
+++ b/git-gui/git-gui.sh
@@ -2052,6 +2052,11 @@
 	}
 
 	set ret_code $rc
+
+	# Briefly enable send again, working around Tk bug
+	# http://sourceforge.net/tracker/?func=detail&atid=112997&aid=1821174&group_id=12997
+	tk appname [appname]
+
 	destroy .
 }
 
diff --git a/git-gui/lib/blame.tcl b/git-gui/lib/blame.tcl
index 1f3b08f..8525b79 100644
--- a/git-gui/lib/blame.tcl
+++ b/git-gui/lib/blame.tcl
@@ -1245,6 +1245,18 @@
 
 	$tooltip_t conf -state disabled
 	_position_tooltip $this
+
+	# On MacOS raising a window causes it to acquire focus.
+	# Tk 8.5 on MacOS seems to properly support wm transient,
+	# so we can safely counter the effect there.
+	if {$::have_tk85 && [is_MacOSX]} {
+		update
+		if {$w eq {}} {
+			raise .
+		} else {
+			raise $w
+		}
+	}
 }
 
 method _position_tooltip {} {
@@ -1268,7 +1280,9 @@
 	append g $pos_y
 
 	wm geometry $tooltip_wm $g
-	raise $tooltip_wm
+	if {![is_MacOSX]} {
+		raise $tooltip_wm
+	}
 }
 
 method _hide_tooltip {} {
diff --git a/git-gui/lib/database.tcl b/git-gui/lib/database.tcl
index a18ac8b..d4e0bed 100644
--- a/git-gui/lib/database.tcl
+++ b/git-gui/lib/database.tcl
@@ -89,27 +89,26 @@
 }
 
 proc hint_gc {} {
-	set object_limit 8
+	set ndirs 1
+	set limit 8
 	if {[is_Windows]} {
-		set object_limit 1
+		set ndirs 4
+		set limit 1
 	}
 
-	set objects_current [llength [glob \
-		-directory [gitdir objects 42] \
+	set count [llength [glob \
 		-nocomplain \
-		-tails \
 		-- \
-		*]]
+		[gitdir objects 4\[0-[expr {$ndirs-1}]\]/*]]]
 
-	if {$objects_current >= $object_limit} {
-		set objects_current [expr {$objects_current * 250}]
-		set object_limit    [expr {$object_limit    * 250}]
+	if {$count >= $limit * $ndirs} {
+		set objects_current [expr {$count * 256/$ndirs}]
 		if {[ask_popup \
 			[mc "This repository currently has approximately %i loose objects.
 
-To maintain optimal performance it is strongly recommended that you compress the database when more than %i loose objects exist.
+To maintain optimal performance it is strongly recommended that you compress the database.
 
-Compress the database now?" $objects_current $object_limit]] eq yes} {
+Compress the database now?" $objects_current]] eq yes} {
 			do_gc
 		}
 	}
diff --git a/git-gui/lib/remote_branch_delete.tcl b/git-gui/lib/remote_branch_delete.tcl
index 31e0947..2416420 100644
--- a/git-gui/lib/remote_branch_delete.tcl
+++ b/git-gui/lib/remote_branch_delete.tcl
@@ -250,6 +250,8 @@
 method _write_check_head {args} { set checktype head }
 
 method _write_head_list {args} {
+	global current_branch
+
 	$head_m delete 0 end
 	foreach abr $head_list {
 		$head_m insert end radiobutton \
@@ -258,7 +260,11 @@
 			-variable @check_head
 	}
 	if {[lsearch -exact -sorted $head_list $check_head] < 0} {
-		set check_head {}
+		if {[lsearch -exact -sorted $head_list $current_branch] < 0} {
+			set check_head {}
+		} else {
+			set check_head $current_branch
+		}
 	}
 }