Sunday, September 29, 2013
Saturday, September 28, 2013
Monday, September 23, 2013
Saturday, September 07, 2013
Rameau’s theory begins by considering different ways in which the length of a set string (like the A string of the ukulele) could be divided into segments of equal length. Consider the figure below. The full string, labeled ‘1’ in the figure, has length AB. The simplest way to divide it into two segments is to find its midpoint (C in the string labeled 2). The line segment AC is exactly half the length of line segment AB, as is the line segment CB. The figure shows how the original string can be divided into three equal segments (line 3) as well as into four equal segments (line 4).
As noted above, changing the length of a musical string changes its pitch. For instance, a string of length AC in the figure above is half the length of string AB. If the former is plucked, it will generate a pitch a full octave higher than is generated by plucking the latter.
Given that the perfect fifth is generally confirmed as the most consonant of the musical intervals, it is perhaps not surprising that it is the harmonic mean of the two notes an octave apart that it stands between.
Tuesday, September 03, 2013
Sunday, September 01, 2013