is characterized by the following combined features use of at least two discrete combinations of dyestuffs which show different kinetic behaviors from each other maintenance of an alkaline ph at tapering values in the extreme down to neutral use of exclusively anionic dyeing aids and maintenance through the various method steps of a maximum temperature as high as 60 u00b0 c preferably as 40 u00b0 c perfectly uniform dyeing is achieved through the utilization of conventional apparata and dyeing method procedures application_number US 72372685 A description in all cases the initial ph of the dyeing bath is preferably in the 8 5 to 10 range and decreases during the dyeing process preferably down to 1 5 units while remaining as mentioned always above or in the extreme equal to 7 if the dyeing process is not carried out completely at room temperature there occurs a first step of residence or imbibition at room temperature wherein the material to be dyed in particular a carpet is dipped into the dye containing bath and bath containing an anionic aid and additives for ph control for a few dozen minutes e g 20 minutes thereafter during an intermediate step of a duration varying between 20 and 50 minutes the temperature is raised to the final value which may reach 40 u00b0 c and the dyeing cycle is completed in the course of a further residence step at said temperature for a time period generally in the 60 minutes to one and a half hour range there being added where necessary at one or more intervening moments of said dyeing step a further amount of an acid donor or weak acid the duration of each step of the dyeing cycle.