diff --git a/Machines/Amiga/Blitter.cpp b/Machines/Amiga/Blitter.cpp
index 3de54c9f0..333558f29 100644
--- a/Machines/Amiga/Blitter.cpp
+++ b/Machines/Amiga/Blitter.cpp
@@ -28,16 +28,15 @@ void Blitter::set_last_word_mask(uint16_t value) {
 	LOG("Set last word mask: " << PADHEX(4) << value);
 }
 
-void Blitter::set_pointer(int channel, int shift, uint16_t value) {
-	LOG("Set pointer " << channel << " shift " << shift << " to " << PADHEX(4) << value);
-}
-
 void Blitter::set_size(uint16_t value) {
-	LOG("Set size " << PADHEX(4) << value);
+	width_ = (width_ & ~0x3f) | (value & 0x3f);
+	height_ = (height_ & ~0x3ff) | (value >> 6);
+	LOG("Set size to " << std::dec << width_ << ", " << height_);
 }
 
 void Blitter::set_minterms(uint16_t value) {
 	LOG("Set minterms " << PADHEX(4) << value);
+	minterms_ = value & 0xff;
 }
 
 void Blitter::set_vertical_size(uint16_t value) {
@@ -61,9 +60,6 @@ uint16_t Blitter::get_status() {
 	return 0;
 }
 
-int Blitter::get_remaining_accesses() {
-	return 0;
-}
-
-void Blitter::run_for(int) {
+bool Blitter::advance() {
+	return false;
 }
diff --git a/Machines/Amiga/Blitter.hpp b/Machines/Amiga/Blitter.hpp
index 028b7c4c6..7cebc1529 100644
--- a/Machines/Amiga/Blitter.hpp
+++ b/Machines/Amiga/Blitter.hpp
@@ -27,7 +27,11 @@ class Blitter {
 		void set_control(int index, uint16_t value);
 		void set_first_word_mask(uint16_t value);
 		void set_last_word_mask(uint16_t value);
-		void set_pointer(int channel, int shift, uint16_t value);
+
+		template <int id, int shift> void set_pointer(uint16_t value) {
+			addresses_[id] = (addresses_[id] & (0xffff'0000 >> shift)) | uint32_t(value << shift);
+		}
+
 		void set_size(uint16_t value);
 		void set_minterms(uint16_t value);
 		void set_vertical_size(uint16_t value);
@@ -37,16 +41,15 @@ class Blitter {
 
 		uint16_t get_status();
 
-		/// @returns The number of accesses required to complete the current
-		/// operation, if any, or 0 if no operation is pending.
-		int get_remaining_accesses();
-
-		/// Performs the next n accesses.
-		void run_for(int accesses);
+		bool advance();
 
 	private:
 		uint16_t *const ram_;
 		const size_t ram_size_;
+
+		uint32_t addresses_[4];
+		uint8_t minterms_;
+		int width_ = 0, height_ = 0;
 };
 
 }
diff --git a/Machines/Amiga/Chipset.cpp b/Machines/Amiga/Chipset.cpp
index 0edc6c56a..65c37be16 100644
--- a/Machines/Amiga/Chipset.cpp
+++ b/Machines/Amiga/Chipset.cpp
@@ -225,8 +225,8 @@ template <int cycle, bool stop_if_cpu> bool Chipset::perform_cycle() {
 	if constexpr (cycle & 1) {
 		// Odd slot priority is:
 		//
-		//	1. Copper, if interested.
-		//	2. Bitplane.
+		//	1. Bitplanes.
+		//	2. Copper, if interested.
 		//	3. Blitter.
 		//	4. CPU.
 		if((dma_control_ & CopperFlag) == CopperFlag) {
@@ -246,12 +246,16 @@ template <int cycle, bool stop_if_cpu> bool Chipset::perform_cycle() {
 		//	4. CPU.
 		if constexpr (cycle >= 4 && cycle <= 6) {
 			if((dma_control_ & DiskFlag) == DiskFlag) {
-				disk_.advance();
+				if(disk_.advance()) {
+					return false;
+				}
 			}
 		}
 	}
 
-	return true;
+	// Down here: give first refusal to the Blitter, otherwise
+	// pass on to the CPU.
+	return !blitter_.advance();
 }
 
 template <bool stop_on_cpu> int Chipset::advance_slots(int first_slot, int last_slot) {
@@ -547,14 +551,14 @@ void Chipset::perform(const CPU::MC68000::Microcycle &cycle) {
 		case Write(0x044):	blitter_.set_first_word_mask(cycle.value16());	break;
 		case Write(0x046):	blitter_.set_last_word_mask(cycle.value16());	break;
 
-		case Write(0x048):	blitter_.set_pointer(2, 16, cycle.value16());	break;
-		case Write(0x04a):	blitter_.set_pointer(2, 0, cycle.value16());	break;
-		case Write(0x04c):	blitter_.set_pointer(1, 16, cycle.value16());	break;
-		case Write(0x04e):	blitter_.set_pointer(1, 0, cycle.value16());	break;
-		case Write(0x050):	blitter_.set_pointer(0, 16, cycle.value16());	break;
-		case Write(0x052):	blitter_.set_pointer(0, 0, cycle.value16());	break;
-		case Write(0x054):	blitter_.set_pointer(3, 16, cycle.value16());	break;
-		case Write(0x056):	blitter_.set_pointer(3, 0, cycle.value16());	break;
+		case Write(0x048):	blitter_.set_pointer<2, 16>(cycle.value16());	break;
+		case Write(0x04a):	blitter_.set_pointer<2, 0>(cycle.value16());	break;
+		case Write(0x04c):	blitter_.set_pointer<1, 16>(cycle.value16());	break;
+		case Write(0x04e):	blitter_.set_pointer<1, 0>(cycle.value16());	break;
+		case Write(0x050):	blitter_.set_pointer<0, 16>(cycle.value16());	break;
+		case Write(0x052):	blitter_.set_pointer<0, 0>(cycle.value16());	break;
+		case Write(0x054):	blitter_.set_pointer<3, 16>(cycle.value16());	break;
+		case Write(0x056):	blitter_.set_pointer<3, 0>(cycle.value16());	break;
 
 		case Write(0x058):	blitter_.set_size(cycle.value16());				break;
 		case Write(0x05a):	blitter_.set_minterms(cycle.value16());			break;
@@ -680,8 +684,8 @@ void Chipset::Sprite::set_image_data(int slot, uint16_t value) {
 
 // MARK: - Disk.
 
-void Chipset::DiskDMA::advance() {
-	if(!dma_enable_) return;
+bool Chipset::DiskDMA::advance() {
+	if(!dma_enable_) return false;
 
 	if(!write_) {
 		// TODO: run an actual PLL, collect actual disk data.
@@ -693,8 +697,12 @@ void Chipset::DiskDMA::advance() {
 			if(!length_) {
 				chipset_.posit_interrupt(InterruptFlag::DiskBlock);
 			}
+
+			return true;
 		}
 	}
+
+	return false;
 }
 
 // MARK: - CRT connection.
diff --git a/Machines/Amiga/Chipset.hpp b/Machines/Amiga/Chipset.hpp
index 598a8a55c..2c917b700 100644
--- a/Machines/Amiga/Chipset.hpp
+++ b/Machines/Amiga/Chipset.hpp
@@ -225,7 +225,7 @@ class Chipset {
 					}
 				}
 
-				void advance();
+				bool advance();
 
 			private:
 				uint32_t address_;