from [/villagepump/History of the temperament](https://scrapbox.io/villagepump/History of the 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.
- Development of polyphonic music (polyphony) in the 11th-15th centuries
- Pythagorean scale has a bad sounding part.
- Invention of pure temperament Bartolome Ramos
- 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).
- 1636 Invention of equal (or even) temperament Malin Mersenne.
- 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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