diff --git a/include/wx/bitmap.h b/include/wx/bitmap.h
index 6b31c71c37..8713884001 100644
--- a/include/wx/bitmap.h
+++ b/include/wx/bitmap.h
@@ -223,7 +223,7 @@ public:
 #endif // wxUSE_PALETTE
 
     // copies the contents and mask of the given (colour) icon to the bitmap
-    virtual bool CopyFromIcon(const wxIcon& icon) = 0;
+    bool CopyFromIcon(const wxIcon& icon);
 
     // implementation:
 #if WXWIN_COMPATIBILITY_3_0
diff --git a/include/wx/dfb/bitmap.h b/include/wx/dfb/bitmap.h
index ed2976d68f..cb0e4f0551 100644
--- a/include/wx/dfb/bitmap.h
+++ b/include/wx/dfb/bitmap.h
@@ -63,9 +63,6 @@ public:
     virtual void SetPalette(const wxPalette& palette);
 #endif
 
-    // copies the contents and mask of the given (colour) icon to the bitmap
-    virtual bool CopyFromIcon(const wxIcon& icon);
-
     static void InitStandardHandlers();
 
     // raw bitmap access support functions
diff --git a/include/wx/gtk/bitmap.h b/include/wx/gtk/bitmap.h
index 2a6f9c62f5..f79c081393 100644
--- a/include/wx/gtk/bitmap.h
+++ b/include/wx/gtk/bitmap.h
@@ -103,9 +103,6 @@ public:
     wxImage ConvertToImage() const wxOVERRIDE;
 #endif // wxUSE_IMAGE
 
-    // copies the contents and mask of the given (colour) icon to the bitmap
-    virtual bool CopyFromIcon(const wxIcon& icon) wxOVERRIDE;
-
     wxMask *GetMask() const wxOVERRIDE;
     void SetMask( wxMask *mask ) wxOVERRIDE;
 
diff --git a/include/wx/gtk1/bitmap.h b/include/wx/gtk1/bitmap.h
index dc335d9f14..00f592de92 100644
--- a/include/wx/gtk1/bitmap.h
+++ b/include/wx/gtk1/bitmap.h
@@ -88,9 +88,6 @@ public:
 
     wxImage ConvertToImage() const;
 
-    // copies the contents and mask of the given (colour) icon to the bitmap
-    virtual bool CopyFromIcon(const wxIcon& icon);
-
     wxMask *GetMask() const;
     void SetMask( wxMask *mask );
 
diff --git a/include/wx/osx/bitmap.h b/include/wx/osx/bitmap.h
index 4f85b77fcb..47c7e5fdc1 100644
--- a/include/wx/osx/bitmap.h
+++ b/include/wx/osx/bitmap.h
@@ -165,9 +165,6 @@ public:
     wxBitmapRefData *GetBitmapData()
         { return (wxBitmapRefData *)m_refData; }
 
-    // copies the contents and mask of the given (colour) icon to the bitmap
-    virtual bool CopyFromIcon(const wxIcon& icon) wxOVERRIDE;
-
     int GetWidth() const wxOVERRIDE;
     int GetHeight() const wxOVERRIDE;
     int GetDepth() const wxOVERRIDE;
diff --git a/include/wx/qt/bitmap.h b/include/wx/qt/bitmap.h
index b8eeb57ad5..d9451ce4b8 100644
--- a/include/wx/qt/bitmap.h
+++ b/include/wx/qt/bitmap.h
@@ -61,9 +61,6 @@ public:
     virtual void SetPalette(const wxPalette& palette) wxOVERRIDE;
 #endif // wxUSE_PALETTE
 
-    // copies the contents and mask of the given (colour) icon to the bitmap
-    virtual bool CopyFromIcon(const wxIcon& icon) wxOVERRIDE;
-
     // implementation:
 #if WXWIN_COMPATIBILITY_3_0
     wxDEPRECATED(virtual void SetHeight(int height) wxOVERRIDE);
diff --git a/include/wx/x11/bitmap.h b/include/wx/x11/bitmap.h
index 25808e4e80..4c0e6ce3b6 100644
--- a/include/wx/x11/bitmap.h
+++ b/include/wx/x11/bitmap.h
@@ -98,9 +98,6 @@ public:
     bool CreateFromImage(const wxImage& image, int depth = -1);
 #endif // wxUSE_IMAGE
 
-    // copies the contents and mask of the given (colour) icon to the bitmap
-    virtual bool CopyFromIcon(const wxIcon& icon);
-
     wxMask *GetMask() const;
     void SetMask( wxMask *mask );
 
diff --git a/src/common/bmpbase.cpp b/src/common/bmpbase.cpp
index 1136d1f1d2..1b76bc3a1a 100644
--- a/src/common/bmpbase.cpp
+++ b/src/common/bmpbase.cpp
@@ -196,6 +196,12 @@ public:
 
 wxIMPLEMENT_DYNAMIC_CLASS(wxBitmapBaseModule, wxModule);
 
+bool wxBitmapBase::CopyFromIcon(const wxIcon& icon)
+{
+    *this = icon;
+    return IsOk();
+}
+
 // ----------------------------------------------------------------------------
 // Trivial implementations of scale-factor related functions
 // ----------------------------------------------------------------------------
diff --git a/src/common/bmpbndl.cpp b/src/common/bmpbndl.cpp
index c310fce88f..c5e269e102 100644
--- a/src/common/bmpbndl.cpp
+++ b/src/common/bmpbndl.cpp
@@ -205,7 +205,14 @@ wxSize wxBitmapBundleImplSet::GetPreferredSizeAtScale(double scale) const
 
     // We only get here if the target size is bigger than all the available
     // sizes, in which case we have no choice but to use the biggest bitmap.
-    return m_entries.back().bitmap.GetSize();
+    const wxSize sizeMax = m_entries.back().bitmap.GetSize();
+
+    // But check how far is it from the requested scale: if it's more than 1.5
+    // times smaller, we should still scale it, notably to ensure that bitmaps
+    // of standard size are scaled when 2x DPI scaling is used.
+    return static_cast<double>(sizeTarget.y) / sizeMax.y >= 1.5
+            ? sizeTarget
+            : sizeMax;
 }
 
 wxBitmap wxBitmapBundleImplSet::GetBitmap(const wxSize& size)
diff --git a/src/dfb/bitmap.cpp b/src/dfb/bitmap.cpp
index 577daf67c2..98a0167eb4 100644
--- a/src/dfb/bitmap.cpp
+++ b/src/dfb/bitmap.cpp
@@ -603,12 +603,6 @@ void wxBitmap::SetMask(wxMask *mask)
     M_BITMAP->m_mask = mask;
 }
 
-bool wxBitmap::CopyFromIcon(const wxIcon& icon)
-{
-    *this = *((wxBitmap*)(&icon));
-    return true;
-}
-
 wxBitmap wxBitmap::GetSubBitmap(const wxRect& rect) const
 {
     wxCHECK_MSG( IsOk() &&
diff --git a/src/gtk/bitmap.cpp b/src/gtk/bitmap.cpp
index c6b229e211..5728f236b9 100644
--- a/src/gtk/bitmap.cpp
+++ b/src/gtk/bitmap.cpp
@@ -988,12 +988,6 @@ void wxBitmap::SetMask( wxMask *mask )
     }
 }
 
-bool wxBitmap::CopyFromIcon(const wxIcon& icon)
-{
-    *this = icon;
-    return IsOk();
-}
-
 #ifdef __WXGTK3__
 bool wxBitmap::CreateScaled(int w, int h, int depth, double scale)
 {
diff --git a/src/gtk1/bitmap.cpp b/src/gtk1/bitmap.cpp
index 4bcf68f784..365cea5737 100644
--- a/src/gtk1/bitmap.cpp
+++ b/src/gtk1/bitmap.cpp
@@ -1192,12 +1192,6 @@ void wxBitmap::SetMask( wxMask *mask )
     M_BMPDATA->m_mask = mask;
 }
 
-bool wxBitmap::CopyFromIcon(const wxIcon& icon)
-{
-    *this = icon;
-    return true;
-}
-
 wxBitmap wxBitmap::GetSubBitmap( const wxRect& rect) const
 {
     wxCHECK_MSG( IsOk() &&
diff --git a/src/osx/core/bitmap.cpp b/src/osx/core/bitmap.cpp
index 2f82e5d9a2..ec597f3f13 100644
--- a/src/osx/core/bitmap.cpp
+++ b/src/osx/core/bitmap.cpp
@@ -782,11 +782,6 @@ wxBitmapRefData::~wxBitmapRefData()
 // wxBitmap
 // ----------------------------------------------------------------------------
 
-bool wxBitmap::CopyFromIcon(const wxIcon& icon)
-{
-    return Create( icon.OSXGetImage() );
-}
-
 wxBitmap::wxBitmap(const char bits[], int the_width, int the_height, int no_bits)
 {
     m_refData = new wxBitmapRefData( the_width , the_height , no_bits ) ;
diff --git a/src/qt/bitmap.cpp b/src/qt/bitmap.cpp
index 32fffeb47f..349b044504 100644
--- a/src/qt/bitmap.cpp
+++ b/src/qt/bitmap.cpp
@@ -372,13 +372,6 @@ void wxBitmap::SetPalette(const wxPalette& WXUNUSED(palette))
 
 #endif // wxUSE_PALETTE
 
-// copies the contents and mask of the given (colour) icon to the bitmap
-bool wxBitmap::CopyFromIcon(const wxIcon& icon)
-{
-    *this = icon;
-    return IsOk();
-}
-
 #if WXWIN_COMPATIBILITY_3_0
 void wxBitmap::SetHeight(int height)
 {
diff --git a/src/x11/bitmap.cpp b/src/x11/bitmap.cpp
index 99020ed1a7..1dfcd2f14d 100644
--- a/src/x11/bitmap.cpp
+++ b/src/x11/bitmap.cpp
@@ -993,12 +993,6 @@ void wxBitmap::SetMask( wxMask *mask )
     M_BMPDATA->m_mask = mask;
 }
 
-bool wxBitmap::CopyFromIcon(const wxIcon& icon)
-{
-    *this = icon;
-    return true;
-}
-
 wxBitmap wxBitmap::GetSubBitmap( const wxRect& rect) const
 {
     wxCHECK_MSG( IsOk() &&
diff --git a/tests/graphics/bmpbundle.cpp b/tests/graphics/bmpbundle.cpp
index b08fafc26a..0f0abfe913 100644
--- a/tests/graphics/bmpbundle.cpp
+++ b/tests/graphics/bmpbundle.cpp
@@ -57,6 +57,8 @@ TEST_CASE("BitmapBundle::GetPreferredSize", "[bmpbundle]")
     const wxBitmapBundle
         b = wxBitmapBundle::FromBitmaps(wxBitmap(normal), wxBitmap(bigger));
 
+    // Check that the existing bitmaps are used without scaling for most of the
+    // typical scaling values.
     CHECK( b.GetPreferredSizeAtScale(0   ) == normal );
     CHECK( b.GetPreferredSizeAtScale(1   ) == normal );
     CHECK( b.GetPreferredSizeAtScale(1.25) == normal );
@@ -65,7 +67,10 @@ TEST_CASE("BitmapBundle::GetPreferredSize", "[bmpbundle]")
     CHECK( b.GetPreferredSizeAtScale(1.75) == bigger );
     CHECK( b.GetPreferredSizeAtScale(2   ) == bigger );
     CHECK( b.GetPreferredSizeAtScale(2.5 ) == bigger );
-    CHECK( b.GetPreferredSizeAtScale(3   ) == bigger );
+
+    // This scale is too big to use any of the existing bitmaps, so they will
+    // be scaled.
+    CHECK( b.GetPreferredSizeAtScale(3   ) == 3*normal );
 }
 
 #ifdef wxHAS_BITMAP_SCALE_FACTOR