  Fast heuristically weighted, or pseudo-C_l, estimators are a frequently used
method for estimating power spectra in CMB surveys with large numbers of
pixels. Recently, Challinor & Chon showed that the E-B mixing in these
estimators can become a dominant contaminant at low noise levels, ultimately
limiting the gravity wave signal which can be detected on a finite patch of
sky. We define a modified version of the estimators which eliminates E-B mixing
and is near-optimal at all noise levels.
