Interferometrically determined angular diameters for 37 KO-M8 giant an
d supergiant stars are presented in this paper. It is shown that the e
ffective temperatures determined for this sample agree with previous d
eterminations made at CERGA and by occultations and that there is no s
ignificant difference among the effective temperature scales set by th
e three investigations. The effective temperature data from the three
sources are combined to give a new mean relationship between effective
temperature and spectral type extending to spectral types as late as
M7, where the precision is approximately +/-95 K at each spectral type
. The question of the natural dispersion in the effective temperature
scale is discussed and found to lie between +/-40 and +/-80 K. Several
new supergiants have been observed and a previous suggestion is confi
rmed that the supergiant temperature scale is cooler than the correspo
nding scale for giants. The difference in temperature between the two
luminosity classes decreases with decreasing temperature. Linear radii
for 22 stars have been computed by combining the angular diameter dat
a with the best available parallax data. The middle M giants have radi
i approximately 80 times the Solar radius. (C) 1996 American Astronomi
cal Society.