diff --git a/lintunes/tap_tempo.py b/lintunes/tap_tempo.py
index b0163fd..e70b5a2 100644
--- a/lintunes/tap_tempo.py
+++ b/lintunes/tap_tempo.py
@@ -3,18 +3,18 @@
 
 class TapTempo:
     RESET_GAP_SECONDS = 2.5
-    MAX_TAPS = 8
 
     def __init__(self):
         self._taps: list[float] = []
 
     def tap(self, now: float) -> int | None:
         """Record a tap at monotonic time `now`; returns the current bpm
-        estimate (None until there are two taps in the series)."""
+        estimate (None until there are two taps in the series). Every tap
+        since the series started counts — the estimate converges on the
+        overall tempo instead of chasing the most recent few taps."""
         if self._taps and now - self._taps[-1] > self.RESET_GAP_SECONDS:
             self._taps = []
         self._taps.append(now)
-        self._taps = self._taps[-self.MAX_TAPS:]
         return self.bpm()
 
     def bpm(self) -> int | None:
diff --git a/tests/test_tap_tempo.py b/tests/test_tap_tempo.py
index 805e0ba..6be4eb6 100644
--- a/tests/test_tap_tempo.py
+++ b/tests/test_tap_tempo.py
@@ -26,18 +26,27 @@ def test_long_gap_resets_series():
     assert tempo.tap(6.1) == 100  # 0.6s interval
 
 
-def test_window_uses_recent_taps_only():
+def test_long_session_converges_exactly():
     tempo = TapTempo()
-    # 4 slow taps (1s = 60bpm) then 8 fast taps (0.25s = 240bpm);
-    # only the last 8 taps count, so the slow ones age out entirely
-    t = 0.0
-    for _ in range(4):
-        tempo.tap(t)
-        t += 1.0
-    for _ in range(8):
-        tempo.tap(t)
-        t += 0.25
-    assert tempo.bpm() == 240
+    bpm = None
+    for i in range(30):
+        bpm = tempo.tap(i * 0.5)  # 30 steady taps at 120 bpm
+    assert bpm == 120
+
+
+def test_whole_session_is_averaged():
+    tempo = TapTempo()
+    # One sloppy 1.0s interval up front, then 20 taps at 0.5s. All 21 taps
+    # count (no rolling window), so the estimate is the overall average
+    # 10.5s / 20 intervals = 0.525s -> 114 bpm, not the recent-taps 120.
+    tempo.tap(0.0)
+    t = 1.0
+    bpm = None
+    for _ in range(20):
+        bpm = tempo.tap(t)
+        t += 0.5
+    assert tempo.tap_count == 21
+    assert bpm == 114
 
 
 def test_reset():