However, Pythagoras believed that the mathematics of music should be based on the specific ratio of 3:2, whereas Ptolemy merely believed that it should just generally involve tetrachords and octaves.
Pythagoras mente dog, at matematikken i musik bør være baseret på den specifikke forhold på 3:2, mens Ptolemæus blot mente, at det bare generelt skulle inddrage tetrakorder og oktaver.