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authorjulian laplace <julescarbon@gmail.com>2025-07-15 18:33:43 +0200
committerjulian laplace <julescarbon@gmail.com>2025-07-15 18:33:43 +0200
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<p>
Within a Pythagorean tuning system, each scale can sound highly
- distinctive, since the notes will not be distributed evenly within the
+ distinctive, since the notes will not be distributed evenly across the
octave. In a sense, 12-tone equal temperament "bends" all of the notes
- so they are evenly spaced. Fifths in equal temperament are not quite
- pure but close enough, making it easy to modulate between keys. By
- comparison, thirds are quite out of tune compared to a pure ratio
- (5:4). Equal temperament invokes irrational numbers, creating
- in-between intervals which do not exist on the Lambdoma. (Notes in
- equal temperament are separated by an irrational ratio of 1 to the
- 12th root of 2 (1:<super>12</super>√2), which can only be approximated
- by pure fractions.)
+ so they are evenly spaced. Fifths in equal temperament are all nearly
+ pure, making it easy to modulate between keys. By comparison, thirds
+ are quite out of tune compared to a pure ratio (5:4). Equal
+ temperament invokes irrational numbers, creating in-between intervals
+ which do not exist on the Lambdoma. (Notes in equal temperament are
+ separated by an irrational ratio of 1 to the 12th root of 2
+ (1:<super>12</super>√2), which can only be approximated by pure
+ fractions.)
</p>
<p>