diff --git a/lib/matplotlib/_cm.py b/lib/matplotlib/_cm.py
index 7624b8a88bab..925cab4c78f7 100644
--- a/lib/matplotlib/_cm.py
+++ b/lib/matplotlib/_cm.py
@@ -1889,6 +1889,18 @@ def gfunc32(x):
                            (0.875, 0.50, 0.50),
                            (1.000, 1.00, 1.00))}
 
+# Modification of CMRmap to improve linearity of luminance
+# by Christopher Hummersone, BSD Licensed
+# http://www.mathworks.com/matlabcentral/fileexchange/39552-modified-cmrmap
+_CMRmap2_data = ((0.0, 0.0,  0.0),
+                 (0.1, 0.1,  0.35),
+                 (0.3, 0.15, 0.65),
+                 (0.6, 0.2,  0.50),
+                 (1.0, 0.25, 0.15),
+                 (0.9, 0.55, 0.0),
+                 (0.9, 0.75, 0.1),
+                 (0.9, 0.9,  0.5),
+                 (1.0, 1.0,  1.0))
 
 # An MIT licensed, colorblind-friendly heatmap from Wistia:
 #   https://github.com/wistia/heatmap-palette
@@ -1927,6 +1939,7 @@ def gfunc32(x):
     'bwr':    _bwr_data,
     'brg':    _brg_data,
     'CMRmap': _CMRmap_data,
+    'CMRmap2': _CMRmap2_data,
     'cool':   _cool_data,
     'copper': _copper_data,
     'cubehelix': _cubehelix_data,
diff --git a/lib/matplotlib/pyplot.py b/lib/matplotlib/pyplot.py
index 88979ec9bb5f..7dc171f40015 100644
--- a/lib/matplotlib/pyplot.py
+++ b/lib/matplotlib/pyplot.py
@@ -2106,6 +2106,8 @@ def colormaps():
                     maintains an aesthetically pleasing color image that
                     automatically reproduces to a monotonic grayscale with
                     discrete, quantifiable saturation levels." [#]_
+      CMRmap2       Modified version of CMRmap that improves its luminosity
+                    linearity for low values. [#]_
       cubehelix     Unlike most other color schemes cubehelix was designed
                     by D.A. Green to be monotonically increasing in terms
                     of perceived brightness. Also, when printed on a black
@@ -2161,6 +2163,10 @@ def colormaps():
       <http://www.mathworks.com/matlabcentral/fileexchange/2662-cmrmap-m>`_
       by Carey Rappaport
 
+    .. [#] See `Modified CMRmap
+      <http://www.mathworks.com/matlabcentral/fileexchange/39552-modified-cmrmap>`_
+      by Christopher Hummersone
+
     .. [#] Changed to distinguish from ColorBrewer's *Spectral* map.
       :func:`spectral` still works, but
       ``set_cmap('nipy_spectral')`` is recommended for clarity.