The atrocity of the Akallabêth

[Nogrod]

Originally Posted by Son of Númenor

Music is not input - it is the synthesis of learning and action.

Tolkien understood that the only way to begin a proper allegory is for a whole to be divided.

Music is more than learning and action... It is the truth of the universe as such as the mathematical ratios in music are the very same the universe is built upon. The pythaghoreans already thought that way and later even Boethius (on fourth century if I'm not remembering this wrongly) whom all the monks during the middle-ages were drawing their information from.
EDIT: Sorry again. That is one view from our shared past, not mine... I forgot to mention it...

The concept of dividing is also age-old. How many myths handle the primordial chaos or disarray being "ordered" by the gods / creative gods as their first act? One of our traditions says that this "ordering" is not random, but is based on music - and thence on mathematics. Tolkien surely knew that tradition as it's not an uninfluential one.