3 ms·
I have a relatively good understanding of how we came to have 12 notes to the octave, you just misinterpret my statement: keyboards already had 12 notes per oct
by pierrec 11y ago
I have a relatively good understanding of how we came to have 12 notes to the octave, you just misinterpret my statement: keyboards already had 12 notes per octave long before ET came into widespread use. And trying to reconcile this division with a tuning system that relies on natural intervals is an awkward exercise, this is the inappropriateness that I speak of.
As for the discordance of equal-tempered thirds against the perfection of pure thirds, this may be true in a mathematical sense, but not necessarily in a human sense. Our brains are logarithmic in many regards, and a lot of research argues that a logarithmic scale is something for which we have affinity.
Here are a few starters to go through the recent evolution of this debate:
Just Intonation Confuted, J. Murray Barbour, 1938, and all the subsequent works that cite it
Violin intonation, PC Greene, 1937, and the many works that cite it