Every day is an occasion for me, but in this case, it does appear as though we missed a significant marker. You probably realise that we were arguing apples and oranges. You as a philosopher and me as an engineer.

I am also glad that this was cited in that article:

However, both ancient Babylonian and Indian theorists had known the same information for centuries.

Left out the Egyptians ffs, but that is OK (eyes roll).

In addition, Pythagoras was a mystic fwiw as per my AI:

Pythagoras believed that music and mathematics are deeply connected, with musical harmony arising from specific numerical ratios, particularly those related to string lengths. His ideas laid the foundation for understanding musical scales and tuning systems, influencing music theory for centuries.

I haven't investigated that notion deeply but could possibly concede there may be some truth to it. Think guitar ..