diff --git a/composition-prelude.cabal b/composition-prelude.cabal
--- a/composition-prelude.cabal
+++ b/composition-prelude.cabal
@@ -1,5 +1,5 @@
 name:                composition-prelude
-version:             0.1.1.1
+version:             0.1.1.2
 synopsis:            Higher-order function combinators
 description:         Replacement for `composition` or `composition-exta`, exporting everything in one sane module.
 homepage:            https://github.com/vmchale/composition-prelude#readme
diff --git a/src/Control/Composition.hs b/src/Control/Composition.hs
--- a/src/Control/Composition.hs
+++ b/src/Control/Composition.hs
@@ -9,6 +9,7 @@
     , (-.)
     , (-.*)
     , (-.**)
+    , (-.***)
     -- * Fancy function application
     , (-$)
     -- * Tuple helpers
@@ -45,6 +46,7 @@
 infixr 8 .***
 infixr 8 -.*
 infixr 8 -.**
+infixr 8 -.***
 infixl 8 -$
 #if __GLASGOW_HASKELL__ <= 784
 infixl 1 &
@@ -78,6 +80,9 @@
 
 (-.**) :: (c -> d) -> (a -> b -> d -> e) -> a -> b -> c -> e
 (-.**) f g x y z = g x y (f z)
+
+(-.***) :: (d -> e) -> (a -> b -> c -> e -> f) -> a -> b -> c -> d -> f
+(-.***) f g w x y z = g w x y (f z)
 
 -- | Backwards function composition
 (-.) :: (a -> b) -> (b -> c) -> a -> c