diff --git a/libs/ardour/ardour/srcfilesource.h b/libs/ardour/ardour/srcfilesource.h
index 9df4327656..dbf6ab1be7 100644
--- a/libs/ardour/ardour/srcfilesource.h
+++ b/libs/ardour/ardour/srcfilesource.h
@@ -42,7 +42,7 @@ public:
 
 	float sample_rate () const { return _session.nominal_sample_rate(); }
 
-	timepos_t natural_position() const { return _source->natural_position() * _ratio;}
+	timepos_t natural_position() const { return _source->natural_position().scale (_ratio); }
 	samplecnt_t readable_length_samples() const { assert (_source->length().time_domain() == Temporal::AudioTime); return _source->length().samples () * _ratio; }
 	timepos_t length () const { assert (_source->length().time_domain() == Temporal::AudioTime); return timepos_t ((samplepos_t) (_source->length().samples () * _ratio)); }
 
diff --git a/libs/ardour/lua_api.cc b/libs/ardour/lua_api.cc
index 4c54124a18..e8af47d75e 100644
--- a/libs/ardour/lua_api.cc
+++ b/libs/ardour/lua_api.cc
@@ -1245,7 +1245,7 @@ LuaAPI::Rubberband::finalize ()
 	ar->set_ancestral_data (timepos_t (_read_start), timecnt_t (_read_len), _stretch_ratio, _pitch_ratio);
 	ar->set_master_sources (_region->master_sources ());
 	ar->set_position (timepos_t (_region->position_sample ()));
-	ar->set_length (ar->length () * _stretch_ratio); // XXX
+	ar->set_length (ar->length ().scale (_stretch_ratio)); // XXX
 	if (_stretch_ratio != 1.0) {
 		// TODO: apply mapping
 		ar->envelope ()->x_scale (_stretch_ratio);
diff --git a/libs/ardour/luabindings.cc b/libs/ardour/luabindings.cc
index 2a9ef58378..90ba0109e1 100644
--- a/libs/ardour/luabindings.cc
+++ b/libs/ardour/luabindings.cc
@@ -587,8 +587,6 @@ LuaBindings::common (lua_State* L)
 		.addConstructor <void (*) (Temporal::samplepos_t)> ()
 		.addOperator ("__add", CPPOPERATOR(Temporal::timepos_t, +))
 		//.addOperator ("__mod", CPPOPERATOR2(Temporal::timepos_t, Temporal::timepos_t, Temporal::timecnt_t, %))
-		.addOperator ("__mul", CPPOPERATOR2(Temporal::timepos_t, Temporal::timepos_t, Temporal::ratio_t , *))
-		.addOperator ("__div", CPPOPERATOR2(Temporal::timepos_t, Temporal::timepos_t, Temporal::ratio_t , /))
 		.addOperator ("__lt", CPPCOMPERATOR(Temporal::timepos_t, <))
 		.addOperator ("__le", CPPCOMPERATOR(Temporal::timepos_t, <=))
 		.addOperator ("__eq", CPPCOMPERATOR(Temporal::timepos_t, ==))
@@ -605,6 +603,7 @@ LuaBindings::common (lua_State* L)
 		.addFunction ("ticks", &Temporal::timepos_t::ticks)
 		.addFunction ("beats", &Temporal::timepos_t::beats)
 		.addFunction ("str", &Temporal::timepos_t::str)
+		.addFunction ("scale", &Temporal::timepos_t::scale)
 		.addMetamethod ("__tostring", &Temporal::timepos_t::str)
 		.endClass ()
 
@@ -613,8 +612,6 @@ LuaBindings::common (lua_State* L)
 		.addOperator ("__add", CPPOPERATOR(Temporal::timecnt_t, +))
 		.addOperator ("__sub", CPPOPERATOR(Temporal::timecnt_t, -))
 		.addOperator ("__mod", CPPOPERATOR(Temporal::timecnt_t, %))
-		.addOperator ("__mul", CPPOPERATOR2(Temporal::timecnt_t, Temporal::timecnt_t, Temporal::ratio_t , *))
-		.addOperator ("__div", CPPOPERATOR2(Temporal::timecnt_t, Temporal::timecnt_t, Temporal::ratio_t , /))
 		.addOperator ("__lt", CPPCOMPERATOR(Temporal::timecnt_t, <))
 		.addOperator ("__le", CPPCOMPERATOR(Temporal::timecnt_t, <=))
 		.addOperator ("__eq", CPPCOMPERATOR(Temporal::timecnt_t, ==))
@@ -639,6 +636,7 @@ LuaBindings::common (lua_State* L)
 		.addFunction ("beats", &Temporal::timecnt_t::beats)
 		.addFunction ("ticks", &Temporal::timecnt_t::ticks)
 		.addFunction ("str", &Temporal::timecnt_t::str)
+		.addFunction ("scale", &Temporal::timecnt_t::scale)
 		.addMetamethod ("__tostring", &Temporal::timecnt_t::str)
 		.endClass ()
 
diff --git a/libs/ardour/midi_stretch.cc b/libs/ardour/midi_stretch.cc
index aa6bc18bf5..fb4ae9f11a 100644
--- a/libs/ardour/midi_stretch.cc
+++ b/libs/ardour/midi_stretch.cc
@@ -121,7 +121,7 @@ MidiStretch::run (boost::shared_ptr<Region> r, Progress*)
 
 	/* set length of new region to precisely match source length */
 
-	results[0]->set_length (region->length() * _request.time_fraction);
+	results[0]->set_length (region->length().scale (_request.time_fraction));
 
 	return ret;
 }
diff --git a/libs/ardour/playlist.cc b/libs/ardour/playlist.cc
index 15ae115bcd..692ba17fe9 100644
--- a/libs/ardour/playlist.cc
+++ b/libs/ardour/playlist.cc
@@ -717,7 +717,7 @@ Playlist::add_region (boost::shared_ptr<Region> region, timepos_t const & positi
 	timecnt_t length;
 
 	if (floor (times) != times) {
-		length = region->length() * (times - floor (times));
+		length = region->length().scale (times - floor (times));
 		string name;
 		RegionFactory::region_name (name, region->name (), false);
 
@@ -1308,7 +1308,7 @@ Playlist::duplicate (boost::shared_ptr<Region> region, timepos_t & position, tim
 	}
 
 	if (floor (times) != times) {
-		timecnt_t length = region->length() * (times - floor (times));
+		timecnt_t length = region->length().scale (times - floor (times));
 		string name;
 		RegionFactory::region_name (name, region->name(), false);
 
@@ -1389,7 +1389,7 @@ Playlist::duplicate_ranges (std::list<TimelineRange>& ranges, float times)
 	while (itimes--) {
 		for (list<TimelineRange>::iterator i = ranges.begin (); i != ranges.end (); ++i) {
 			boost::shared_ptr<Playlist> pl = copy ((*i).start(), (*i).length (), true);
-			paste (pl, (*i).start() + (offset * count), 1.0f);
+			paste (pl, (*i).start() + (offset.scale (count)), 1.0f);
 		}
 		++count;
 	}
diff --git a/libs/evoral/ControlList.cc b/libs/evoral/ControlList.cc
index c8246ecc51..9fd72421a9 100644
--- a/libs/evoral/ControlList.cc
+++ b/libs/evoral/ControlList.cc
@@ -360,7 +360,7 @@ void
 ControlList::_x_scale (ratio_t const & factor)
 {
 	for (iterator i = _events.begin(); i != _events.end(); ++i) {
-		(*i)->when = (*i)->when.operator* (factor);
+		(*i)->when = (*i)->when.scale (factor);
 	}
 
 	mark_dirty ();