Her family name "Tsukumo" comes from "tsukumogami", her species of youkai. The motif of hers might be derived from "Bokuboku Biwa" (琵琶牧々), a tsukumogami transforming into biwa houshi.
Benben and Yatsuhashi shares the same ability (making music of their own), like Cirno and Letty Whiterock who shares one ability (Ability to Manipulate cold/chill, even their level is different.)