diff --git a/Makefile b/Makefile
index 8747db195..d74a059ac 100644
--- a/Makefile
+++ b/Makefile
@@ -86,6 +86,9 @@ $(FONTDIR)/const/Inter-UI-Black.%: src/Inter-UI.designspace $(Black_ufo_d)
 $(FONTDIR)/const/Inter-UI-Italic.%: src/Inter-UI.designspace $(Italic_ufo_d)
 	misc/fontbuild compile -o $@ src/Inter-UI-Italic.ufo
 
+$(FONTDIR)/const/Inter-UI-BlackItalic.%: src/Inter-UI.designspace $(BlackItalic_ufo_d)
+	misc/fontbuild compile -o $@ src/Inter-UI-BlackItalic.ufo
+
 $(FONTDIR)/const/Inter-UI-%.otf: build/ufo/Inter-UI-%.ufo src/Inter-UI.designspace $(Regular_ufo_d) $(Black_ufo_d)
 	misc/fontbuild compile -o $@ $<
 
diff --git a/init.sh b/init.sh
index 3e7c133fb..885b37807 100755
--- a/init.sh
+++ b/init.sh
@@ -309,15 +309,15 @@ else
     Regular \
     Black \
     Italic \
+    BlackItalic \
   )
   derived_styles=( \
     "Medium           : Regular Black" \
-    "MediumItalic     : Regular Black Italic" \
+    "MediumItalic     : Italic BlackItalic" \
     "Bold             : Regular Black" \
-    "BoldItalic       : Regular Black Italic" \
+    "BoldItalic       : Italic BlackItalic" \
     "ExtraBold        : Regular Black" \
-    "ExtraBoldItalic  : Regular Black Italic" \
-    "BlackItalic      : Regular Black Italic" \
+    "ExtraBoldItalic  : Italic BlackItalic" \
   )
   web_formats=( woff woff2 )  # Disabled/unused: eot
 
diff --git a/misc/fontbuild b/misc/fontbuild
index 4ca3f60ba..2bb13b679 100755
--- a/misc/fontbuild
+++ b/misc/fontbuild
@@ -474,7 +474,12 @@ class Main(object):
         ufo_path = pjoin(master_dir, 'Inter-UI-Italic.ufo')
         source.styleName = "Italic"
         source.name = "italic"
-        source.font.info.styleName = "Italic"
+        source.font.info.styleName = source.styleName
+      elif source.styleName == "Black Italic Italic":
+        ufo_path = pjoin(master_dir, 'Inter-UI-BlackItalic.ufo')
+        source.styleName = "Black Italic"
+        source.name = "blackitalic"
+        source.font.info.styleName = source.font.info.styleName
       else:
         # name "Inter UI Black" => "black"
         source.name = source.styleName.lower().replace(' ', '')