diff --git a/libs/temporal/temporal/tempo.h b/libs/temporal/temporal/tempo.h
index 05394f79d2..9f4a8525a2 100644
--- a/libs/temporal/temporal/tempo.h
+++ b/libs/temporal/temporal/tempo.h
@@ -1035,7 +1035,20 @@ class /*LIBTEMPORAL_API*/ TempoMap : public PBD::StatefulDestructible
 
 		   will all be the const versions of these methods.
 		*/
-		return _get_tempo_and_meter<const_traits<BBT_Time const  &, BBT_Time> > (t, m, &Point::bbt, bbt, _points.begin(), _points.end(), &_tempos.front(), &_meters.front(), can_match, ret_iterator_after_not_at);
+
+		/* Use the reference time of the BBT_Argument to determine
+		 * where to start iterating.
+		 */
+
+		Points::const_iterator pi = _points.begin();
+		Tempos::const_iterator ti = _tempos.begin();
+		Meters::const_iterator mi = _meters.begin();
+
+		while (pi != _points.end() && pi->sclock() < bbt.reference().superclocks()) ++pi;
+		while (ti != _tempos.end() && ti->sclock() < bbt.reference().superclocks()) ++ti;
+		while (mi != _meters.end() && mi->sclock() < bbt.reference().superclocks()) ++mi;
+
+		return _get_tempo_and_meter<const_traits<BBT_Time const  &, BBT_Time> > (t, m, &Point::bbt, bbt, pi, _points.end(), &*ti, &*mi, can_match, ret_iterator_after_not_at);
 	}
 	Points::const_iterator  get_tempo_and_meter (TempoPoint const *& t, MeterPoint const *& m, superclock_t sc, bool can_match, bool ret_iterator_after_not_at) const {
 		return _get_tempo_and_meter<const_traits<superclock_t, superclock_t> > (t, m, &Point::sclock, sc, _points.begin(), _points.end(), &_tempos.front(), &_meters.front(), can_match, ret_iterator_after_not_at);