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abridged) In this paper we present new redshifts for 747 galaxies in 23 ESOImaging Survey (EIS) cluster fields. We use the "gap"-technique to search forsignificant overdensities in redshift space for identifying groups/clusters ofgalaxies. In this way we spectroscopically confirm systems in 10 of the 23cluster candidate fields with a matched-filter estimated redshift z_MF=0.3-0.4and with spectroscopic redshifts in the range from z=0.158 to z=0.534. We findthat the systems identified in the present paper span a broad range ofone-dimensional velocity dispersion (175-497 km/s) and richness(12L*<=L<=65L*). Both undersampling and contamination by substructurescontribute to the uncertainty of these measurements. From the analysis of thecolours of the galaxy populations we find that ~60% of the spectroscopicallyconfirmed systems have a "significant" red sequence with a colour matchingpassive stellar evolution models. With this paper we complete our spectroscopicsurvey of the fields of 58 EIS cluster candidates with estimated redshiftsz<=0.4. We have measured a total of 1954 galaxy redshifts in the range z=0.0065to z=0.6706. Of the 58 systems we confirm 42 (~75%) with redshifts betweenz=0.095 and z=0.534.

Multi-object spectroscopy of low-redshift EIS clusters IV. Reliability of matched-filter results at z~0.3-0.4