What is "shenglei"

The (c. 230 CE) Shenglei 聲類, compiled by the Cao Wei dynasty lexicographer Li Deng 李登, was the first Chinese rime dictionary. Earlier dictionaries were organized either by semantic fields (e.g., c. 3rd-century BCE Erya) or by character radicals (e.g., 121 CE Shuowen Jiezi). The last copies of the Shenglei were lost around the 13th century, and it is known only from earlier descriptions and quotations, which say it was in 10 volumes and contained 11,520 Chinese character entries, categorized by linguistic tone in terms of the wǔshēng 五聲 "Five Tones (of the pentatonic scale)" from Chinese musicology and wǔxíng 五行 "Five Phases/Elements" theory.