diff --git a/include/midi.hpp b/include/midi.hpp
index c537b810..468e3700 100644
--- a/include/midi.hpp
+++ b/include/midi.hpp
@@ -1,6 +1,5 @@
 #pragma once
 #include <vector>
-#include <queue>
 #include <set>
 
 #include <jansson.h>
@@ -248,10 +247,20 @@ struct Input : Port {
 };
 
 
+/** An Input port that stores incoming MIDI messages and releases them when ready according to their frame timestamp.
+*/
 struct InputQueue : Input {
-	int queueMaxSize = 8192;
-	std::queue<Message> queue;
+	struct Internal;
+	Internal* internal;
+
+	InputQueue();
+	~InputQueue();
 	void onMessage(const Message& message) override;
+	/** Pops and returns the next message (by setting `messageOut`) if its frame timestamp is `maxFrame` or earlier.
+	Returns whether a message was returned.
+	*/
+	bool tryPop(Message* messageOut, int64_t maxFrame);
+	size_t size();
 };
 
 
diff --git a/src/core/MIDI_CC.cpp b/src/core/MIDI_CC.cpp
index 69295569..37bdce6d 100644
--- a/src/core/MIDI_CC.cpp
+++ b/src/core/MIDI_CC.cpp
@@ -71,13 +71,9 @@ struct MIDI_CC : Module {
 	}
 
 	void process(const ProcessArgs& args) override {
-		while (!midiInput.queue.empty()) {
-			const midi::Message& msg = midiInput.queue.front();
-			// Don't process MIDI message until we've reached its frame.
-			if (msg.frame > args.frame)
-				break;
+		midi::Message msg;
+		while (midiInput.tryPop(&msg, args.frame)) {
 			processMessage(msg);
-			midiInput.queue.pop();
 		}
 
 		int channels = mpeMode ? 16 : 1;
diff --git a/src/core/MIDI_CV.cpp b/src/core/MIDI_CV.cpp
index 93e8b988..6bca6609 100644
--- a/src/core/MIDI_CV.cpp
+++ b/src/core/MIDI_CV.cpp
@@ -125,13 +125,12 @@ struct MIDI_CV : Module {
 	}
 
 	void process(const ProcessArgs& args) override {
-		while (!midiInput.queue.empty()) {
-			const midi::Message& msg = midiInput.queue.front();
-			// Don't process MIDI message until we've reached its frame.
-			if (msg.frame > args.frame)
-				break;
+		if (args.frame % 1000 == 0)
+			printf("queue size %lu\n", midiInput.size());
+
+		midi::Message msg;
+		while (midiInput.tryPop(&msg, args.frame)) {
 			processMessage(msg);
-			midiInput.queue.pop();
 		}
 
 		outputs[PITCH_OUTPUT].setChannels(channels);
diff --git a/src/core/MIDI_Gate.cpp b/src/core/MIDI_Gate.cpp
index d0727339..e3e2c141 100644
--- a/src/core/MIDI_Gate.cpp
+++ b/src/core/MIDI_Gate.cpp
@@ -66,13 +66,9 @@ struct MIDI_Gate : Module {
 	}
 
 	void process(const ProcessArgs& args) override {
-		while (!midiInput.queue.empty()) {
-			const midi::Message& msg = midiInput.queue.front();
-			// Don't process MIDI message until we've reached its frame.
-			if (msg.frame > args.frame)
-				break;
+		midi::Message msg;
+		while (midiInput.tryPop(&msg, args.frame)) {
 			processMessage(msg);
-			midiInput.queue.pop();
 		}
 
 		int channels = mpeMode ? 16 : 1;
diff --git a/src/core/MIDI_Map.cpp b/src/core/MIDI_Map.cpp
index 1430cfde..4d4c7041 100644
--- a/src/core/MIDI_Map.cpp
+++ b/src/core/MIDI_Map.cpp
@@ -82,13 +82,9 @@ struct MIDI_Map : Module {
 		if (!divider.process())
 			return;
 
-		while (!midiInput.queue.empty()) {
-			const midi::Message& msg = midiInput.queue.front();
-			// Don't process MIDI message until we've reached its frame.
-			if (msg.frame > args.frame)
-				break;
+		midi::Message msg;
+		while (midiInput.tryPop(&msg, args.frame)) {
 			processMessage(msg);
-			midiInput.queue.pop();
 		}
 
 		// Step channels
diff --git a/src/midi.cpp b/src/midi.cpp
index 379b4fd1..155bdf82 100644
--- a/src/midi.cpp
+++ b/src/midi.cpp
@@ -1,5 +1,6 @@
 #include <map>
 #include <utility>
+#include <queue>
 
 #include <midi.hpp>
 #include <string.hpp>
@@ -273,13 +274,72 @@ std::vector<int> Input::getChannels() {
 	return channels;
 }
 
+////////////////////
+// InputQueue
+////////////////////
+
+static const size_t InputQueue_maxSize = 8192;
+
+struct InputQueue_Compare {
+	bool operator()(const Message& a, const Message& b) {
+		return a.frame > b.frame;
+	}
+};
+
+struct InputQueue_Queue : std::priority_queue<Message, std::vector<Message>, InputQueue_Compare> {
+	void reserve(size_t capacity) {
+		c.reserve(capacity);
+	}
+	void clear() {
+		// Messing with the protected container is dangerous, but completely clearing it should be fine.
+		c.clear();
+	}
+};
+
+struct InputQueue::Internal {
+	InputQueue_Queue queue;
+};
+
+InputQueue::InputQueue() {
+	internal = new Internal;
+	internal->queue.reserve(InputQueue_maxSize);
+}
+
+InputQueue::~InputQueue() {
+	delete internal;
+}
+
 void InputQueue::onMessage(const Message& message) {
-	if ((int) queue.size() >= queueMaxSize)
+	if (internal->queue.size() >= InputQueue_maxSize)
 		return;
 	// Push to queue
-	queue.push(message);
+	internal->queue.push(message);
 }
 
+bool InputQueue::tryPop(Message* messageOut, int64_t maxFrame) {
+	if (!internal->queue.empty()) {
+		const Message& msg = internal->queue.top();
+		if (msg.frame <= maxFrame) {
+			*messageOut = msg;
+			internal->queue.pop();
+			return true;
+		}
+
+		// If next MIDI message is too far in the future, clear the queue.
+		// This solves the issue of unconsumed messages getting stuck in the future when a DAW rewinds the engine frame.
+		int futureFrames = 2 * APP->engine->getBlockFrames();
+		if (msg.frame - maxFrame > futureFrames) {
+			internal->queue.clear();
+		}
+	}
+	return false;
+}
+
+size_t InputQueue::size() {
+	return internal->queue.size();
+}
+
+
 ////////////////////
 // Output
 ////////////////////