History of tonal temperament
History of tonal temperament
Invention of [Pythagorean tuning
Around 580-500 B.C., Pythagoras discovers that "when the length of the strings is 3:2, the sound is also beautiful. Christianity adopts and popularizes the Pythagorean scale in religious music.
Pythagorean scale has a bad sounding part.
A Pythagorean scale that shifts a bad sounding part of the scale to a good sounding combination.
In the pure temperament, there are two types of whole tones, the greater whole tone (9/8) and the lesser whole tone (10/9).
12 semitones of equal width form a scale
Emphasizes mathematical beauty over beautiful sounding integer ratios
Do# and Le♭ are now the same note.
Transposition is now possible without tuning the strings.
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