Is the chanting of the Most Beautiful Names of Allah with a specific melody and their division into groups, as is practiced on the Holy Quran Radio in Egypt, considered a bid‘ah (innovation)?

There is no specific order for the Beautiful Names of Allah mentioned in Islamic law, nor a particular method for classifying them. Therefore, it is permissible to arrange or categorize them in any way you deem appropriate, as long as the intention is good.

However, uttering these names in unison with a specific tune as an act of worship is an innovation (bid'ah) that was not reported from the Prophet (peace be upon him) nor from the righteous predecessors.