diff --git a/modules/juce_audio_basics/effects/juce_IIRFilter.cpp b/modules/juce_audio_basics/effects/juce_IIRFilter.cpp
index 5724b5051f..99769c92c6 100644
--- a/modules/juce_audio_basics/effects/juce_IIRFilter.cpp
+++ b/modules/juce_audio_basics/effects/juce_IIRFilter.cpp
@@ -25,6 +25,12 @@
 
 BEGIN_JUCE_NAMESPACE
 
+#if JUCE_INTEL
+ #define JUCE_SNAP_TO_ZERO(n)    if (! (n < -1.0e-8 || n > 1.0e-8)) n = 0;
+#else
+ #define JUCE_SNAP_TO_ZERO(n)
+#endif
+
 //==============================================================================
 IIRFilter::IIRFilter()
     : active (false)
@@ -63,10 +69,7 @@ float IIRFilter::processSingleSampleRaw (const float in) noexcept
                  - coefficients[4] * y1
                  - coefficients[5] * y2;
 
-   #if JUCE_INTEL
-    if (! (out < -1.0e-8 || out > 1.0e-8))
-        out = 0;
-   #endif
+    JUCE_SNAP_TO_ZERO (out);
 
     x2 = x1;
     x1 = in;
@@ -93,10 +96,7 @@ void IIRFilter::processSamples (float* const samples,
                          - coefficients[4] * y1
                          - coefficients[5] * y2;
 
-           #if JUCE_INTEL
-            if (! (out < -1.0e-8 || out > 1.0e-8))
-                out = 0;
-           #endif
+            JUCE_SNAP_TO_ZERO (out);
 
             x2 = x1;
             x1 = in;
@@ -251,5 +251,6 @@ void IIRFilter::setCoefficients (double c1, double c2, double c3,
     active = true;
 }
 
+#undef JUCE_SNAP_TO_ZERO
 
 END_JUCE_NAMESPACE
diff --git a/modules/juce_audio_basics/effects/juce_Reverb.h b/modules/juce_audio_basics/effects/juce_Reverb.h
index 60d7487400..e4daa01c5e 100644
--- a/modules/juce_audio_basics/effects/juce_Reverb.h
+++ b/modules/juce_audio_basics/effects/juce_Reverb.h
@@ -52,11 +52,11 @@ public:
     struct Parameters
     {
         Parameters() noexcept
-          : roomSize (0.5f),
-            damping (0.5f),
-            wetLevel (0.33f),
-            dryLevel (0.4f),
-            width (1.0f),
+          : roomSize   (0.5f),
+            damping    (0.5f),
+            wetLevel   (0.33f),
+            dryLevel   (0.4f),
+            width      (1.0f),
             freezeMode (0)
         {}
 
diff --git a/modules/juce_audio_basics/midi/juce_MidiBuffer.cpp b/modules/juce_audio_basics/midi/juce_MidiBuffer.cpp
index 1eef4ce151..b46d2179d9 100644
--- a/modules/juce_audio_basics/midi/juce_MidiBuffer.cpp
+++ b/modules/juce_audio_basics/midi/juce_MidiBuffer.cpp
@@ -25,6 +25,24 @@
 
 BEGIN_JUCE_NAMESPACE
 
+namespace MidiBufferHelpers
+{
+    inline int getEventTime (const void* const d) noexcept
+    {
+        return *static_cast <const int*> (d);
+    }
+
+    inline uint16 getEventDataSize (const void* const d) noexcept
+    {
+        return *reinterpret_cast <const uint16*> (static_cast <const char*> (d) + sizeof (int));
+    }
+
+    inline uint16 getEventTotalSize (const void* const d) noexcept
+    {
+        return getEventDataSize (d) + sizeof (int) + sizeof (uint16);
+    }
+}
+
 //==============================================================================
 MidiBuffer::MidiBuffer() noexcept
     : bytesUsed (0)
@@ -66,21 +84,6 @@ inline uint8* MidiBuffer::getData() const noexcept
     return static_cast <uint8*> (data.getData());
 }
 
-inline int MidiBuffer::getEventTime (const void* const d) noexcept
-{
-    return *static_cast <const int*> (d);
-}
-
-inline uint16 MidiBuffer::getEventDataSize (const void* const d) noexcept
-{
-    return *reinterpret_cast <const uint16*> (static_cast <const char*> (d) + sizeof (int));
-}
-
-inline uint16 MidiBuffer::getEventTotalSize (const void* const d) noexcept
-{
-    return getEventDataSize (d) + sizeof (int) + sizeof (uint16);
-}
-
 void MidiBuffer::clear() noexcept
 {
     bytesUsed = 0;
@@ -201,7 +204,7 @@ int MidiBuffer::getNumEvents() const noexcept
 
     while (d < end)
     {
-        d += getEventTotalSize (d);
+        d += MidiBufferHelpers::getEventTotalSize (d);
         ++n;
     }
 
@@ -210,7 +213,7 @@ int MidiBuffer::getNumEvents() const noexcept
 
 int MidiBuffer::getFirstEventTime() const noexcept
 {
-    return bytesUsed > 0 ? getEventTime (data.getData()) : 0;
+    return bytesUsed > 0 ? MidiBufferHelpers::getEventTime (data.getData()) : 0;
 }
 
 int MidiBuffer::getLastEventTime() const noexcept
@@ -223,10 +226,10 @@ int MidiBuffer::getLastEventTime() const noexcept
 
     for (;;)
     {
-        const uint8* const nextOne = d + getEventTotalSize (d);
+        const uint8* const nextOne = d + MidiBufferHelpers::getEventTotalSize (d);
 
         if (nextOne >= endData)
-            return getEventTime (d);
+            return MidiBufferHelpers::getEventTime (d);
 
         d = nextOne;
     }
@@ -236,8 +239,8 @@ uint8* MidiBuffer::findEventAfter (uint8* d, const int samplePosition) const noe
 {
     const uint8* const endData = getData() + bytesUsed;
 
-    while (d < endData && getEventTime (d) <= samplePosition)
-        d += getEventTotalSize (d);
+    while (d < endData && MidiBufferHelpers::getEventTime (d) <= samplePosition)
+        d += MidiBufferHelpers::getEventTotalSize (d);
 
     return d;
 }
@@ -259,8 +262,8 @@ void MidiBuffer::Iterator::setNextSamplePosition (const int samplePosition) noex
     data = buffer.getData();
     const uint8* dataEnd = data + buffer.bytesUsed;
 
-    while (data < dataEnd && getEventTime (data) < samplePosition)
-        data += getEventTotalSize (data);
+    while (data < dataEnd && MidiBufferHelpers::getEventTime (data) < samplePosition)
+        data += MidiBufferHelpers::getEventTotalSize (data);
 }
 
 bool MidiBuffer::Iterator::getNextEvent (const uint8* &midiData, int& numBytes, int& samplePosition) noexcept
@@ -268,8 +271,8 @@ bool MidiBuffer::Iterator::getNextEvent (const uint8* &midiData, int& numBytes,
     if (data >= buffer.getData() + buffer.bytesUsed)
         return false;
 
-    samplePosition = getEventTime (data);
-    numBytes = getEventDataSize (data);
+    samplePosition = MidiBufferHelpers::getEventTime (data);
+    numBytes = MidiBufferHelpers::getEventDataSize (data);
     data += sizeof (int) + sizeof (uint16);
     midiData = data;
     data += numBytes;
@@ -282,8 +285,8 @@ bool MidiBuffer::Iterator::getNextEvent (MidiMessage& result, int& samplePositio
     if (data >= buffer.getData() + buffer.bytesUsed)
         return false;
 
-    samplePosition = getEventTime (data);
-    const int numBytes = getEventDataSize (data);
+    samplePosition = MidiBufferHelpers::getEventTime (data);
+    const int numBytes = MidiBufferHelpers::getEventDataSize (data);
     data += sizeof (int) + sizeof (uint16);
     result = MidiMessage (data, numBytes, samplePosition);
     data += numBytes;
diff --git a/modules/juce_audio_basics/midi/juce_MidiBuffer.h b/modules/juce_audio_basics/midi/juce_MidiBuffer.h
index 9d94e704a6..c30d725e18 100644
--- a/modules/juce_audio_basics/midi/juce_MidiBuffer.h
+++ b/modules/juce_audio_basics/midi/juce_MidiBuffer.h
@@ -227,10 +227,7 @@ private:
     int bytesUsed;
 
     uint8* getData() const noexcept;
-    uint8* findEventAfter (uint8* d, int samplePosition) const noexcept;
-    static int getEventTime (const void* d) noexcept;
-    static uint16 getEventDataSize (const void* d) noexcept;
-    static uint16 getEventTotalSize (const void* d) noexcept;
+    uint8* findEventAfter (uint8*, int samplePosition) const noexcept;
 
     JUCE_LEAK_DETECTOR (MidiBuffer);
 };
diff --git a/modules/juce_audio_basics/midi/juce_MidiFile.cpp b/modules/juce_audio_basics/midi/juce_MidiFile.cpp
index 021f3ba320..8b51c9e947 100644
--- a/modules/juce_audio_basics/midi/juce_MidiFile.cpp
+++ b/modules/juce_audio_basics/midi/juce_MidiFile.cpp
@@ -25,17 +25,17 @@
 
 BEGIN_JUCE_NAMESPACE
 
-//==============================================================================
+
 namespace MidiFileHelpers
 {
     void writeVariableLengthInt (OutputStream& out, unsigned int v)
     {
-        unsigned int buffer = v & 0x7F;
+        unsigned int buffer = v & 0x7f;
 
         while ((v >>= 7) != 0)
         {
             buffer <<= 8;
-            buffer |= ((v & 0x7F) | 0x80);
+            buffer |= ((v & 0x7f) | 0x80);
         }
 
         for (;;)
@@ -97,8 +97,7 @@ namespace MidiFileHelpers
     {
         if (timeFormat > 0)
         {
-            int numer = 4, denom = 4;
-            double tempoTime = 0.0, correctedTempoTime = 0.0;
+            double lastTime = 0.0, correctedTime = 0.0;
             const double tickLen = 1.0 / (timeFormat & 0x7fff);
             double secsPerTick = 0.5 * tickLen;
             const int numEvents = tempoEvents.getNumEvents();
@@ -106,47 +105,32 @@ namespace MidiFileHelpers
             for (int i = 0; i < numEvents; ++i)
             {
                 const MidiMessage& m = tempoEvents.getEventPointer(i)->message;
+                const double eventTime = m.getTimeStamp();
 
-                if (time <= m.getTimeStamp())
+                if (eventTime >= time)
                     break;
 
-                if (timeFormat > 0)
-                {
-                    correctedTempoTime = correctedTempoTime
-                                            + (m.getTimeStamp() - tempoTime) * secsPerTick;
-                }
-                else
-                {
-                    correctedTempoTime = tickLen * m.getTimeStamp() / (((timeFormat & 0x7fff) >> 8) * (timeFormat & 0xff));
-                }
-
-                tempoTime = m.getTimeStamp();
+                correctedTime += (eventTime - lastTime) * secsPerTick;
+                lastTime = eventTime;
 
                 if (m.isTempoMetaEvent())
                     secsPerTick = tickLen * m.getTempoSecondsPerQuarterNote();
-                else if (m.isTimeSignatureMetaEvent())
-                    m.getTimeSignatureInfo (numer, denom);
 
                 while (i + 1 < numEvents)
                 {
                     const MidiMessage& m2 = tempoEvents.getEventPointer(i + 1)->message;
-                    if (m2.getTimeStamp() == tempoTime)
-                    {
-                        ++i;
 
-                        if (m2.isTempoMetaEvent())
-                            secsPerTick = tickLen * m2.getTempoSecondsPerQuarterNote();
-                        else if (m2.isTimeSignatureMetaEvent())
-                            m2.getTimeSignatureInfo (numer, denom);
-                    }
-                    else
-                    {
+                    if (m2.getTimeStamp() != eventTime)
                         break;
-                    }
+
+                    if (m2.isTempoMetaEvent())
+                        secsPerTick = tickLen * m2.getTempoSecondsPerQuarterNote();
+
+                    ++i;
                 }
             }
 
-            return correctedTempoTime + (time - tempoTime) * secsPerTick;
+            return correctedTime + (time - lastTime) * secsPerTick;
         }
         else
         {
@@ -180,7 +164,6 @@ MidiFile::MidiFile()
 
 MidiFile::~MidiFile()
 {
-    clear();
 }
 
 void MidiFile::clear()
@@ -296,9 +279,7 @@ bool MidiFile::readFrom (InputStream& sourceStream)
                     break;
 
                 if (chunkType == (int) ByteOrder::bigEndianInt ("MTrk"))
-                {
                     readNextTrack (d, chunkSize);
-                }
 
                 size -= chunkSize + 8;
                 d += chunkSize;
@@ -315,7 +296,7 @@ bool MidiFile::readFrom (InputStream& sourceStream)
 void MidiFile::readNextTrack (const uint8* data, int size)
 {
     double time = 0;
-    char lastStatusByte = 0;
+    uint8 lastStatusByte = 0;
 
     MidiMessageSequence result;
 
@@ -338,7 +319,7 @@ void MidiFile::readNextTrack (const uint8* data, int size)
 
         result.addEvent (mm);
 
-        const char firstByte = *(mm.getRawData());
+        const uint8 firstByte = *(mm.getRawData());
         if ((firstByte & 0xf0) != 0xf0)
             lastStatusByte = firstByte;
     }
@@ -361,7 +342,7 @@ void MidiFile::convertTimestampTicksToSeconds()
 
     for (int i = 0; i < tracks.size(); ++i)
     {
-        MidiMessageSequence& ms = *tracks.getUnchecked(i);
+        const MidiMessageSequence& ms = *tracks.getUnchecked(i);
 
         for (int j = ms.getNumEvents(); --j >= 0;)
         {
@@ -393,11 +374,10 @@ bool MidiFile::writeTo (OutputStream& out)
 void MidiFile::writeTrack (OutputStream& mainOut, const int trackNum)
 {
     MemoryOutputStream out;
-
-    const MidiMessageSequence& ms = *tracks[trackNum];
+    const MidiMessageSequence& ms = *tracks.getUnchecked (trackNum);
 
     int lastTick = 0;
-    char lastStatusByte = 0;
+    uint8 lastStatusByte = 0;
 
     for (int i = 0; i < ms.getNumEvents(); ++i)
     {
@@ -408,27 +388,30 @@ void MidiFile::writeTrack (OutputStream& mainOut, const int trackNum)
         MidiFileHelpers::writeVariableLengthInt (out, delta);
         lastTick = tick;
 
-        const char statusByte = *(mm.getRawData());
+        const uint8* data = mm.getRawData();
+        int dataSize = mm.getRawDataSize();
 
-        if ((statusByte == lastStatusByte)
-             && ((statusByte & 0xf0) != 0xf0)
-             && i > 0
-             && mm.getRawDataSize() > 1)
-        {
-            out.write (mm.getRawData() + 1, mm.getRawDataSize() - 1);
-        }
-        else
+        const uint8 statusByte = data[0];
+
+        if (statusByte == lastStatusByte
+             && (statusByte & 0xf0) != 0xf0
+             && dataSize > 1
+             && i > 0)
         {
-            out.write (mm.getRawData(), mm.getRawDataSize());
+            ++data;
+            --dataSize;
         }
 
+        out.write (data, dataSize);
         lastStatusByte = statusByte;
     }
 
     out.writeByte (0);
-    const MidiMessage m (MidiMessage::endOfTrack());
-    out.write (m.getRawData(),
-               m.getRawDataSize());
+
+    {
+        const MidiMessage m (MidiMessage::endOfTrack());
+        out.write (m.getRawData(), m.getRawDataSize());
+    }
 
     mainOut.writeIntBigEndian ((int) ByteOrder::bigEndianInt ("MTrk"));
     mainOut.writeIntBigEndian ((int) out.getDataSize());
diff --git a/modules/juce_audio_basics/midi/juce_MidiMessageSequence.cpp b/modules/juce_audio_basics/midi/juce_MidiMessageSequence.cpp
index 8497abe304..937dfdfec1 100644
--- a/modules/juce_audio_basics/midi/juce_MidiMessageSequence.cpp
+++ b/modules/juce_audio_basics/midi/juce_MidiMessageSequence.cpp
@@ -106,26 +106,18 @@ int MidiMessageSequence::getNextIndexAtTime (const double timeStamp) const
 //==============================================================================
 double MidiMessageSequence::getStartTime() const
 {
-    if (list.size() > 0)
-        return list.getUnchecked(0)->message.getTimeStamp();
-    else
-        return 0;
+    return getEventTime (0);
 }
 
 double MidiMessageSequence::getEndTime() const
 {
-    if (list.size() > 0)
-        return list.getLast()->message.getTimeStamp();
-    else
-        return 0;
+    return getEventTime (list.size() - 1);
 }
 
 double MidiMessageSequence::getEventTime (const int index) const
 {
-    if (isPositiveAndBelow (index, list.size()))
-        return list.getUnchecked (index)->message.getTimeStamp();
-
-    return 0.0;
+    const MidiEventHolder* const e = list [index];
+    return e != nullptr ? e->message.getTimeStamp() : 0.0;
 }
 
 //==============================================================================
@@ -157,6 +149,16 @@ void MidiMessageSequence::deleteEvent (const int index,
     }
 }
 
+struct MidiMessageSequenceSorter
+{
+    static int compareElements (const MidiMessageSequence::MidiEventHolder* const first,
+                                const MidiMessageSequence::MidiEventHolder* const second) noexcept
+    {
+        const double diff = first->message.getTimeStamp() - second->message.getTimeStamp();
+        return (diff > 0) - (diff < 0);
+    }
+};
+
 void MidiMessageSequence::addSequence (const MidiMessageSequence& other,
                                        double timeAdjustment,
                                        double firstAllowableTime,
@@ -179,22 +181,8 @@ void MidiMessageSequence::addSequence (const MidiMessageSequence& other,
         }
     }
 
-    sort();
-}
-
-//==============================================================================
-int MidiMessageSequence::compareElements (const MidiMessageSequence::MidiEventHolder* const first,
-                                          const MidiMessageSequence::MidiEventHolder* const second) noexcept
-{
-    const double diff = first->message.getTimeStamp()
-                         - second->message.getTimeStamp();
-
-    return (diff > 0) - (diff < 0);
-}
-
-void MidiMessageSequence::sort()
-{
-    list.sort (*this, true);
+    MidiMessageSequenceSorter sorter;
+    list.sort (sorter, true);
 }
 
 //==============================================================================
diff --git a/modules/juce_audio_basics/midi/juce_MidiMessageSequence.h b/modules/juce_audio_basics/midi/juce_MidiMessageSequence.h
index c6e55a9ff0..942c716ee3 100644
--- a/modules/juce_audio_basics/midi/juce_MidiMessageSequence.h
+++ b/modules/juce_audio_basics/midi/juce_MidiMessageSequence.h
@@ -264,18 +264,11 @@ public:
     /** Swaps this sequence with another one. */
     void swapWith (MidiMessageSequence& other) noexcept;
 
-    //==============================================================================
-    /** @internal */
-    static int compareElements (const MidiMessageSequence::MidiEventHolder* first,
-                                const MidiMessageSequence::MidiEventHolder* second) noexcept;
-
 private:
     //==============================================================================
     friend class MidiFile;
     OwnedArray <MidiEventHolder> list;
 
-    void sort();
-
     JUCE_LEAK_DETECTOR (MidiMessageSequence);
 };
 
diff --git a/modules/juce_core/maths/juce_BigInteger.cpp b/modules/juce_core/maths/juce_BigInteger.cpp
index 0d9ebaa742..b749c7d7f0 100644
--- a/modules/juce_core/maths/juce_BigInteger.cpp
+++ b/modules/juce_core/maths/juce_BigInteger.cpp
@@ -25,6 +25,13 @@
 
 BEGIN_JUCE_NAMESPACE
 
+//==============================================================================
+namespace
+{
+    inline size_t bitToIndex (const int bit) noexcept   { return (size_t) (bit >> 5); }
+    inline uint32 bitToMask  (const int bit) noexcept   { return (uint32) 1 << (bit & 31); }
+}
+
 //==============================================================================
 BigInteger::BigInteger()
     : numValues (4),
@@ -783,7 +790,7 @@ void BigInteger::shiftBits (int bits, const int startBit)
 }
 
 //==============================================================================
-BigInteger BigInteger::simpleGCD (BigInteger* m, BigInteger* n)
+static BigInteger simpleGCD (BigInteger* m, BigInteger* n)
 {
     while (! m->isZero())
     {
diff --git a/modules/juce_core/maths/juce_BigInteger.h b/modules/juce_core/maths/juce_BigInteger.h
index 7f88570b6d..e22ebc7665 100644
--- a/modules/juce_core/maths/juce_BigInteger.h
+++ b/modules/juce_core/maths/juce_BigInteger.h
@@ -319,10 +319,6 @@ private:
     void ensureSize (size_t numVals);
     void shiftLeft (int bits, int startBit);
     void shiftRight (int bits, int startBit);
-    static BigInteger simpleGCD (BigInteger* m, BigInteger* n);
-
-    static inline size_t bitToIndex (const int bit) noexcept    { return (size_t) (bit >> 5); }
-    static inline uint32 bitToMask (const int bit) noexcept     { return (uint32) 1 << (bit & 31); }
 
     JUCE_LEAK_DETECTOR (BigInteger);
 };
diff --git a/modules/juce_core/maths/juce_Expression.h b/modules/juce_core/maths/juce_Expression.h
index ad1b1c6abc..1ecd3324b4 100644
--- a/modules/juce_core/maths/juce_Expression.h
+++ b/modules/juce_core/maths/juce_Expression.h
@@ -265,7 +265,7 @@ private:
     friend class ReferenceCountedObjectPtr<Term>;
     ReferenceCountedObjectPtr<Term> term;
 
-    explicit Expression (Term* term);
+    explicit Expression (Term*);
 };
 
 #endif   // __JUCE_EXPRESSION_JUCEHEADER__
diff --git a/modules/juce_core/threads/juce_Thread.h b/modules/juce_core/threads/juce_Thread.h
index 3cceb5660b..180fbc29e4 100644
--- a/modules/juce_core/threads/juce_Thread.h
+++ b/modules/juce_core/threads/juce_Thread.h
@@ -288,7 +288,6 @@ private:
     bool volatile threadShouldExit_;
 
    #ifndef DOXYGEN
-    friend class MessageManager;
     friend void JUCE_API juce_threadEntryPoint (void*);
    #endif
 
@@ -296,7 +295,7 @@ private:
     void closeThreadHandle();
     void killThread();
     void threadEntryPoint();
-    static bool setThreadPriority (void* handle, int priority);
+    static bool setThreadPriority (void*, int priority);
 
     JUCE_DECLARE_NON_COPYABLE_WITH_LEAK_DETECTOR (Thread);
 };