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Pitch space - History of pitch space

A Wisdom Archive on Pitch space - History of pitch space

Pitch space - History of pitch space

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Pitch space, Pitch space - External link, Pitch space - Fibered pitch space, Pitch space - History of pitch space, Modulatory space, Chordal space, Diatonic set theory, Emancipation of the dissonance, Vowel space, Color space

ARTICLES RELATED TO Pitch space - History of pitch space

Pitch space - History of pitch space: Encyclopedia II - Pitch space - History of pitch space

The idea of pitch space goes back at least as far as the ancient Greek music theorists known as the Harmonists. To quote one of their number, Bacchius, "And what is a diagram? A representation of a musical system. And we use a diagram so that, for students of the subject, matters which are hard to grasp with the hearing may appear before their eyes." (Bacchius, in Franklin, Diatonic Music in Ancient Greece.) The Harmonists drew geometrical pictures so that the intervals of various scales could be compared visually ...

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Pitch space, Pitch space - History of pitch space, Pitch space - Fibered pitch space, Pitch space - External link

Read more here: » Pitch space: Encyclopedia II - Pitch space - History of pitch space

Pitch space - History of pitch space: Encyclopedia II - Pitch space - Fibered pitch space

In analogy with mathematical usage, we might call a modulatory space the base space, and another space over each point of it, giving the register, a fiber. This gives what might be called a fibered picture of pitch space. Less well known is the fact that a fibered picture of pitch space can also be obtained where the base space is a chordal space. For instance, suppose 2^a 3^b 5^c is a five-limit interval. If the base space is a chordal space of triads, and if each fiber consists of the integers, we may represent the five-limit interv ...

See also:

Pitch space, Pitch space - History of pitch space, Pitch space - Fibered pitch space, Pitch space - External link

Read more here: » Pitch space: Encyclopedia II - Pitch space - Fibered pitch space

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