This article explores the criteria used to ascertain whether or not, and how, ancient Chinese bronze bells might form sets of musical instruments, thus clarifying their original intended use by ancient musicians. The focus is on ten bells unearthed from Changsha city in Hunan province in China, which date to the twelfth century BCE. A range of diverse relationships between these bells provide valuable insights that can be explored. Debate is ongoing among music historians regarding the nature of the bells. Some argue that the ten bells do not constitute a set of musical instruments because their designs and acoustic properties lack sufficient similarity and correlation. Conversely, another group of historians suggests that nine of the ten bells could indeed be seen as a set, but with the tenth bell being an outlier due to its distinct design. The third group of historians contends that the ten bells should be considered a musical set because of their organized sequence of consecutive semi-tones, while the design differences of the bells are less significant and can be overlooked if we focus on their musical functions. In this study, we scrutinize the assumptions made by these music historians, including their definitions of design similarity and the sequence of progressive pitches. Further previously overlooked criteria, such as the geographical proximity of these ten bells and others found in neighboring areas, and the incremental changes in the bell sizes, are also considered. Through the use of these criteria we aim to explore a wide range of relationships between ancient Chinese bells and to reassess what other new evidence the bells may offer to the study of ancient Chinese musical concepts. The concept of the chromatic scale discovered by ancient Chinese musicians was embodied on the casting of bronze bells.