 Finally, Iamblichus associates Hippasus with the history of the development of the mathematics of means (DK I 110. 30–37), which are important in music theory, but Iamblichus’ reports are confused. It is likely that Hippasus worked only with the three earliest means (the arithmetic, geometric and subcontrary/harmonic) and that the changing of the name of the subcontrary mean to the harmonic mean should be ascribed to Archytas rather than Hippasus (Huffman 2005, 179–173).