Generally speaking, the ones from "Genji-shaku Interpretation" to "Kakai-sho Commentary" are called 'ancient' commentaries, the ones from "Kachoyojo" to "Kogetsu-sho Commentary" are called 'old' commentaries, and the ones after that till the late Edo period are called 'new' commentaries.
一般には『源氏釈』から『河海抄』までのものを「古注」、『花鳥余情』から『湖月抄』までのものを「旧注」、それ以後江戸時代末までのものを「新注」と呼び分けている。