and then the chords can all be mapped on a big torus (donut) to represent transposition, and each chord connects with 2 others that just so happen to correspond with 'complimentary' chords from traditional music theory. And there are also different ways to connect to other chord groups.
Beethoven's 9th Symphony famously traces 19 of the 24 possible chords of the torus, and remember that he was partially deaf so relied on vibrations.
More interesting that all this however is a new instrument called the 'Fluid Piano' which doesn't restrict itself to Western tuning (multiples of 440Hz etc.) Check it out
https://www.youtube.com/watch?v=t7Cq3pbcMkI
Music from the country Georgia can't be represented using on traditional musical staves. I'd be fascinated to understand how so different musical cultures developed, particularly in relationship to how our brains might have evolved over the year to regard certain frequencies and melodies as delightful, eerie, etc.
https://en.wikipedia.org/wiki/Neo-Riemannian_theory is a bit lacking of a simple explanation, but the basic idea is that chord groups (e.g. Minor chords) are represented as a algebra (e.g. x, x+5, x+7)
and then the chords can all be mapped on a big torus (donut) to represent transposition, and each chord connects with 2 others that just so happen to correspond with 'complimentary' chords from traditional music theory. And there are also different ways to connect to other chord groups.
Beethoven's 9th Symphony famously traces 19 of the 24 possible chords of the torus, and remember that he was partially deaf so relied on vibrations.
More interesting that all this however is a new instrument called the 'Fluid Piano' which doesn't restrict itself to Western tuning (multiples of 440Hz etc.) Check it out https://www.youtube.com/watch?v=t7Cq3pbcMkI
Music from the country Georgia can't be represented using on traditional musical staves. I'd be fascinated to understand how so different musical cultures developed, particularly in relationship to how our brains might have evolved over the year to regard certain frequencies and melodies as delightful, eerie, etc.