We present (CO)-C-12 (J = 1-0) (2.6 mm, 115 GHz) spectra from 44 galax
ies in clusters between 3500 and 8000 km s(-1). The data were obtained
using the NRAO 12 m telescope at Kitt Peak. Forty galaxies are detect
ed. We deduce molecular gas masses from the line integrated intensitie
s and upper limits for the four nondetections. Although the sample's f
irst inclusion criterion is that a source have 60 mu m flux greater th
an 350 mJy, the galaxies in this survey are found to be neither ultral
uminous in the far-IR nor particularly rich in molecular gas, nor do t
hey exhibit evidence of interactions. Neither the molecular gas mass n
or the far-IR luminosity shows variations as functions of the galaxies
' proximity to the cluster cores. Because the CO line widths and centr
al velocities agree overall with the 21 cm widths and redshifts for th
ese galaxies, we argue that CO spectra could be used in lieu of H I sp
ectra for Tully-Fisher calculations.