25 OCT 2017 by ideonexus

 Canons and Fugues

The idea of a canon is that one single theme is played against itself. This is done by having "copies" of the theme played by the various participating voices. But there are means' ways to do this. The most straightforward of all canons is the round, such as "Three Blind Mice", "Row, Row, Row Your Boat", or " Frere Jacques". Here, the theme enters in the first voice and, after a fixed time-delay, a "copy" of it enters, in precisely the same key. After the same fixed time-delay in the second v...
Folksonomies: mathematics music math puzzles
Folksonomies: mathematics music math puzzles
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Bach left his Musical Offering unfinished as puzzles for King Frederick to figure out.

23 MAY 2015 by ideonexus

 Why Do We Like Certain Tunes or Understand Certain Senten...

Contrast two answers to the question, Why do we like certain tunes? Because they have certain structural features.Because they resemble other tunes we like.   The first answer has to do with the laws and rules that make tunes pleasant. In language, we know some laws for sentences; that is, we know the forms sentences must have to be syntactically acceptable, if not the things they must have to make them sensible or even pleasant to the ear. As to melody, it seems that we only know som...
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