The Arabic script travelled with Islam and was adapted to write languages that share nothing structurally with Arabic. Persian, Ottoman Turkish, Urdu, Pashto, Kurdish, Kashmiri, Sindhi, Malay, Hausa, Swahili and many others have all been written in it, and several still are. Every adaptation faced the same problem Arabic itself had faced with the six rawadif: a language has sounds the inherited letters do not distinguish. The solution was the same one, and it is why dhal is a useful letter to consider here. New letters were made by adding dots to existing shapes.
Persian added four, using the dal, ra and jim skeletons and a modified kaf. Urdu went further, adding a set of retroflex consonants marked with a small superscript ta, and a series of aspirated letters written with a special two-eyed ha. Ottoman Turkish, Sindhi and Jawi, the Malay adaptation, each built their own inventories the same way. Sindhi as written in Pakistan uses more than fifty letters, most of them Arabic skeletons under new arrangements of dots.
In West Africa the practice of writing local languages in Arabic script is called Ajami, and it produced a substantial literature in Hausa, Fulfulde, Wolof and Swahili that was long overlooked because colonial scholarship counted literacy in roman letters. Two consequences follow for anyone reading manuscripts. A dotted letter must be read against the conventions of the language and region, not against modern standard Arabic, since the same shape carries different values in different traditions. And the abjad numeral values, which belong to the inherited sequence, do not extend in any settled way to the letters that were invented later.