diff --git a/internal/scheduler/scheduler.go b/internal/scheduler/scheduler.go
index c39d436..f8a95bf 100644
--- a/internal/scheduler/scheduler.go
+++ b/internal/scheduler/scheduler.go
@@ -209,6 +209,11 @@ type Schedule struct {
 	// colon ("start:2026-10-14"), so two schedules of one Name claim
 	// different periods. Name and Key together are unique.
 	Key string
+	// PeriodKey, when set, gives the period key claimed for p in place of
+	// the rule's, such as "list_ready:chat:2026-10-19" for the week p.Week;
+	// p.Key is the rule's key. It must give each period its own key. A
+	// schedule sets Key or PeriodKey, not both.
+	PeriodKey func(p Period) string
 	// Rule returns when the schedule fires under settings. It is called
 	// again after every settings change.
 	Rule func(settings household.Settings) Rule
@@ -293,6 +298,9 @@ func (s *Scheduler) Register(sch Schedule) error {
 	if strings.Contains(sch.Key, ":") {
 		return fmt.Errorf("scheduler: register %s: key has a colon", sch.label())
 	}
+	if sch.Key != "" && sch.PeriodKey != nil {
+		return fmt.Errorf("scheduler: register %s: both key and period key", sch.label())
+	}
 	s.mu.Lock()
 	defer s.mu.Unlock()
 	if s.started {
@@ -562,14 +570,17 @@ func (s *Scheduler) retry(ctx context.Context, targets []target, now time.Time)
 func (s *Scheduler) handle(ctx context.Context, t target, now time.Time) bool {
 	it, at, date := t.it, t.at, t.date
 	period := Period{Key: it.rule.PeriodKey(date), FireAt: at, Date: date}
-	if it.sch.Key != "" {
-		period.Key = it.sch.Key + ":" + period.Key
-	}
 	if it.rule.NextWeek {
 		period.Week = household.WeekStart(addDays(date, 7))
 	} else {
 		period.Week = household.WeekStart(date)
 	}
+	switch {
+	case it.sch.Key != "":
+		period.Key = it.sch.Key + ":" + period.Key
+	case it.sch.PeriodKey != nil:
+		period.Key = it.sch.PeriodKey(period)
+	}
 	log := s.logger.With("schedule", it.sch.Name, "period", period.Key, "fire_at", at.Format(time.RFC3339))
 
 	claimed, err := s.claim(ctx, it.sch.Name, period.Key, now)
diff --git a/internal/scheduler/scheduler_test.go b/internal/scheduler/scheduler_test.go
index 3e288ee..534eaca 100644
--- a/internal/scheduler/scheduler_test.go
+++ b/internal/scheduler/scheduler_test.go
@@ -722,6 +722,7 @@ func TestRegister(t *testing.T) {
 		{Name: "hourly", Rule: reminder(&rec).Rule, Run: rec.run},
 		{Name: scheduler.DayOfReminder, Run: rec.run},
 		{Name: scheduler.DayOfReminder, Rule: reminder(&rec).Rule},
+		{Name: scheduler.DayOfReminder, Key: "start", PeriodKey: func(p scheduler.Period) string { return p.Key }, Rule: reminder(&rec).Rule, Run: rec.run},
 	}
 	for _, sch := range bad {
 		if err := s.Register(sch); err == nil {
diff --git a/internal/scheduler/weekly_automation_test.go b/internal/scheduler/weekly_automation_test.go
index b21073c..993d376 100644
--- a/internal/scheduler/weekly_automation_test.go
+++ b/internal/scheduler/weekly_automation_test.go
@@ -113,7 +113,8 @@ func (s *shopEnv) wantLogged(want string) {
 // TestChatAutosendSendsComingWeek: at the seeded Saturday 08:00 the
 // schedule posts the coming week's Supply run, W43's, to Google Chat
 // through SendToChat, in that week's thread, and records sent_to_chat_at;
-// its period is shopping_chat_autosend:2026-W43. It posts once.
+// its period is claimed in schedule_runs as list_ready:chat:2026-10-19,
+// the coming week's start. It posts once.
 func TestChatAutosendSendsComingWeek(t *testing.T) {
 	e := newEnv(t)
 	s := e.shopping()
@@ -143,13 +144,13 @@ func TestChatAutosendSendsComingWeek(t *testing.T) {
 		t.Error("sent_to_chat_at not recorded")
 	}
 	s.wantLogged("Supply run sent to Google Chat")
-	s.wantLogged("key=list_ready:chat:2026-10-19")
+	s.wantLogged("period=list_ready:chat:2026-10-19")
 
 	r.runUntil(at(2026, 10, 24, 7, 0))
 	if n := len(s.chat.Posts()); n != 1 {
 		t.Errorf("a week on: %d posts, want 1", n)
 	}
-	wantKeys(t, "schedule_runs", e.claimed(scheduler.ShoppingChatAutosend), []string{"2026-W42", "2026-W43"})
+	wantKeys(t, "schedule_runs", e.claimed(scheduler.ShoppingChatAutosend), []string{"list_ready:chat:2026-10-12", "list_ready:chat:2026-10-19"})
 }
 
 // TestChatAutosendFollowsSettings: chat_autosend_dow and
@@ -249,7 +250,7 @@ func TestChatAutosendSkips(t *testing.T) {
 				t.Errorf("sent_to_chat_at = %v, want %v", l.SentToChatAt, sentBefore)
 			}
 			s.wantLogged("Supply run not sent to Google Chat: " + c.reason)
-			wantKeys(t, "schedule_runs", e.claimed(scheduler.ShoppingChatAutosend), []string{"2026-W42", "2026-W43"})
+			wantKeys(t, "schedule_runs", e.claimed(scheduler.ShoppingChatAutosend), []string{"list_ready:chat:2026-10-12", "list_ready:chat:2026-10-19"})
 		})
 	}
 }
@@ -295,7 +296,7 @@ func TestChatAutosendFailureSurfaces(t *testing.T) {
 	if got := logs.String(); !strings.Contains(got, "level=ERROR") || !strings.Contains(got, "scheduler: run failed") || !strings.Contains(got, "schedule=shopping_chat_autosend") {
 		t.Errorf("scheduler logs = %s, want the refused send logged as a failed run", got)
 	}
-	wantKeys(t, "schedule_runs", e.claimed(scheduler.ShoppingChatAutosend), []string{"2026-W42", "2026-W43"})
+	wantKeys(t, "schedule_runs", e.claimed(scheduler.ShoppingChatAutosend), []string{"list_ready:chat:2026-10-12", "list_ready:chat:2026-10-19"})
 }
 
 func equalPtr(a, b *string) bool {
diff --git a/internal/shopping/schedule.go b/internal/shopping/schedule.go
index e531621..73182fa 100644
--- a/internal/shopping/schedule.go
+++ b/internal/shopping/schedule.go
@@ -26,8 +26,9 @@ const (
 )
 
 // AutosendKey identifies the automatic send of the Supply run of the week
-// starting weekStart, list_ready:chat:YYYY-MM-DD, in the schedule's logs.
-// The send itself is recorded in the list's sent_to_chat_at.
+// starting weekStart, list_ready:chat:YYYY-MM-DD: it is the
+// shopping_chat_autosend period key claimed in schedule_runs. The send
+// itself is recorded in the list's sent_to_chat_at.
 func AutosendKey(weekStart store.LocalDate) string {
 	return string(notify.ListReady) + ":" + string(notify.ChannelChat) + ":" + weekStart.String()
 }
@@ -35,8 +36,8 @@ func AutosendKey(weekStart store.LocalDate) string {
 // ChatAutosendSchedule is the shopping_chat_autosend schedule: at the
 // household's chat_autosend_dow and chat_autosend_time it sends the Supply
 // run of the coming week, the week after the fire date's, to Google Chat
-// with Autosend. Its period scheduler.WeeklyForNextWeek keys
-// shopping_chat_autosend:YYYY-Www for that week. A send that fails is the
+// with Autosend. Its period is that week, scheduler.WeeklyForNextWeek's,
+// claimed under AutosendKey of the week's Monday. A send that fails is the
 // period's error and is not retried; the household can still send it from
 // the Supply run.
 func (s *Service) ChatAutosendSchedule() scheduler.Schedule {
@@ -45,12 +46,15 @@ func (s *Service) ChatAutosendSchedule() scheduler.Schedule {
 		Rule: func(settings household.Settings) scheduler.Rule {
 			return scheduler.WeeklyForNextWeek(time.Weekday(settings.ChatAutosendDow), settings.ChatAutosendTime)
 		},
+		PeriodKey: func(p scheduler.Period) string {
+			return AutosendKey(p.Week)
+		},
 		Run: func(ctx context.Context, p scheduler.Period) error {
 			skipped, err := s.Autosend(ctx, p.Week)
 			if err != nil {
 				return err
 			}
-			log := s.logger.With("period", p.Key, "key", AutosendKey(p.Week), "week_start", p.Week.String())
+			log := s.logger.With("period", p.Key, "week_start", p.Week.String())
 			if skipped != "" {
 				log.InfoContext(ctx, "Supply run not sent to Google Chat: "+skipped)
 				return nil