diff --git a/app/core/gimp-utils.c b/app/core/gimp-utils.c
index 7980bb4adf..cb0ead909d 100644
--- a/app/core/gimp-utils.c
+++ b/app/core/gimp-utils.c
@@ -304,6 +304,23 @@ gimp_gegl_buffer_get_memsize (GeglBuffer *buffer)
   return 0;
 }
 
+gint64
+gimp_gegl_pyramid_get_memsize (GeglBuffer *buffer)
+{
+  if (buffer)
+    {
+      const Babl *format = gegl_buffer_get_format (buffer);
+
+      /* The pyramid levels constitute a geometric sum with a ratio of 1/4. */
+      return ((gint64) babl_format_get_bytes_per_pixel (format) *
+              (gint64) gegl_buffer_get_width (buffer) *
+              (gint64) gegl_buffer_get_height (buffer) * 1.33 +
+              gimp_g_object_get_memsize (G_OBJECT (buffer)));
+    }
+
+  return 0;
+}
+
 gint64
 gimp_string_get_memsize (const gchar *string)
 {
diff --git a/app/core/gimp-utils.h b/app/core/gimp-utils.h
index f1126e07eb..90404b5d95 100644
--- a/app/core/gimp-utils.h
+++ b/app/core/gimp-utils.h
@@ -53,6 +53,7 @@ gint64       gimp_g_value_get_memsize              (GValue          *value);
 gint64       gimp_g_param_spec_get_memsize         (GParamSpec      *pspec);
 
 gint64       gimp_gegl_buffer_get_memsize          (GeglBuffer      *buffer);
+gint64       gimp_gegl_pyramid_get_memsize         (GeglBuffer      *buffer);
 
 gint64       gimp_string_get_memsize               (const gchar     *string);
 gint64       gimp_parasite_get_memsize             (GimpParasite    *parasite,
diff --git a/app/core/gimpprojection.c b/app/core/gimpprojection.c
index 72a7e261db..092b68f857 100644
--- a/app/core/gimpprojection.c
+++ b/app/core/gimpprojection.c
@@ -296,7 +296,7 @@ gimp_projection_get_memsize (GimpObject *object,
   GimpProjection *projection = GIMP_PROJECTION (object);
   gint64          memsize    = 0;
 
-  memsize += gimp_gegl_buffer_get_memsize (projection->priv->buffer);
+  memsize += gimp_gegl_pyramid_get_memsize (projection->priv->buffer);
 
   return memsize + GIMP_OBJECT_CLASS (parent_class)->get_memsize (object,
                                                                   gui_size);