diff --git a/index.js b/index.js
index 62c89f59..081ae2d9 100644
--- a/index.js
+++ b/index.js
@@ -2197,7 +2197,7 @@
   //. Converts a Maybe to an Either. Nothing becomes a Right (containing the
   //. first argument); a Just becomes a Left.
   //.
-  //. See also [`eitherToMaybe`](#eitherToMaybe) and
+  //. See also [`leftToMaybe`](#leftToMaybe) and
   // [`maybeToRight`](#maybeToRight).
   //.
   //. ```javascript
@@ -2221,7 +2221,7 @@
   //. Converts a Maybe to an Either. Nothing becomes a Left (containing the
   //. first argument); a Just becomes a Right.
   //.
-  //. See also [`eitherToMaybe`](#eitherToMaybe) and
+  //. See also [`rightToMaybe`](#rightToMaybe) and
   // [`maybeToLeft`](#maybeToLeft).
   //.
   //. ```javascript
@@ -2492,27 +2492,52 @@
     impl: encase
   };
 
-  //# eitherToMaybe :: Either a b -> Maybe b
+  //# leftToMaybe :: Either a b -> Maybe a
+  //.
+  //. Converts an Either to a Maybe. A Left becomes a Just; a Right becomes
+  //. Nothing.
+  //.
+  //. See also [`maybeToLeft`](#maybeToLeft) and
+  //. [`rightToMaybe`](#rightToMaybe).
+  //.
+  //. ```javascript
+  //. > S.leftToMaybe (S.Left ('Cannot divide by zero'))
+  //. Just ('Cannot divide by zero')
+  //.
+  //. > S.leftToMaybe (S.Right (42))
+  //. Nothing
+  //. ```
+  function leftToMaybe(either) {
+    return either.isLeft ? Just (either.value) : Nothing;
+  }
+  _.leftToMaybe = {
+    consts: {},
+    types: [$.Either (a) (b), $.Maybe (a)],
+    impl: leftToMaybe
+  };
+
+  //# rightToMaybe :: Either a b -> Maybe b
   //.
   //. Converts an Either to a Maybe. A Left becomes Nothing; a Right becomes
   //. a Just.
   //.
-  //. See also [`maybeToRight`](#maybeToRight).
+  //. See also [`maybeToRight`](#maybeToRight) and
+  //. [`leftToMaybe`](#leftToMaybe).
   //.
   //. ```javascript
-  //. > S.eitherToMaybe (S.Left ('Cannot divide by zero'))
+  //. > S.rightToMaybe (S.Left ('Cannot divide by zero'))
   //. Nothing
   //.
-  //. > S.eitherToMaybe (S.Right (42))
+  //. > S.rightToMaybe (S.Right (42))
   //. Just (42)
   //. ```
-  function eitherToMaybe(either) {
+  function rightToMaybe(either) {
     return either.isLeft ? Nothing : Just (either.value);
   }
-  _.eitherToMaybe = {
+  _.rightToMaybe = {
     consts: {},
     types: [$.Either (a) (b), $.Maybe (b)],
-    impl: eitherToMaybe
+    impl: rightToMaybe
   };
 
   //. ### Logic
@@ -4325,7 +4350,7 @@
   //. Just ([1, 2, 3])
   //. ```
   function parseJson(pred) {
-    return B (filter (pred)) (B (eitherToMaybe) (encase (JSON.parse)));
+    return B (filter (pred)) (B (rightToMaybe) (encase (JSON.parse)));
   }
   _.parseJson = {
     consts: {},
diff --git a/test/eitherToMaybe.js b/test/eitherToMaybe.js
deleted file mode 100644
index 7d61bbff..00000000
--- a/test/eitherToMaybe.js
+++ /dev/null
@@ -1,15 +0,0 @@
-'use strict';
-
-const S = require ('..');
-
-const eq = require ('./internal/eq');
-
-
-test ('eitherToMaybe', () => {
-
-  eq (S.show (S.eitherToMaybe)) ('eitherToMaybe :: Either a b -> Maybe b');
-
-  eq (S.eitherToMaybe (S.Left ('Cannot divide by zero'))) (S.Nothing);
-  eq (S.eitherToMaybe (S.Right (42))) (S.Just (42));
-
-});
diff --git a/test/leftToMaybe.js b/test/leftToMaybe.js
new file mode 100644
index 00000000..37546d79
--- /dev/null
+++ b/test/leftToMaybe.js
@@ -0,0 +1,15 @@
+'use strict';
+
+const S = require ('..');
+
+const eq = require ('./internal/eq');
+
+
+test ('leftToMaybe', () => {
+
+  eq (S.show (S.leftToMaybe)) ('leftToMaybe :: Either a b -> Maybe a');
+
+  eq (S.leftToMaybe (S.Left ('Cannot divide by zero'))) (S.Just ('Cannot divide by zero'));
+  eq (S.leftToMaybe (S.Right (42))) (S.Nothing);
+
+});
diff --git a/test/rightToMaybe.js b/test/rightToMaybe.js
new file mode 100644
index 00000000..ea23df25
--- /dev/null
+++ b/test/rightToMaybe.js
@@ -0,0 +1,15 @@
+'use strict';
+
+const S = require ('..');
+
+const eq = require ('./internal/eq');
+
+
+test ('rightToMaybe', () => {
+
+  eq (S.show (S.rightToMaybe)) ('rightToMaybe :: Either a b -> Maybe b');
+
+  eq (S.rightToMaybe (S.Left ('Cannot divide by zero'))) (S.Nothing);
+  eq (S.rightToMaybe (S.Right (42))) (S.Just (42));
+
+});