intervals

Leslie W Bartlett lesbart1@juno.com
Fri, 30 Jun 2000 17:12:10 -0500


Oxford Companion to Music says 4th and 5ths are perfect because they have
a "certain hollowness" other intervals do not.

Grove's Dictionary of Music says "Intervals which have no alternative
major and monor forms, but become augmented or diminished when enlarged
or reduced by a semitone."
	"The perfect fifth, ration 3:2 is a very good, though not absolutely
perfect, consonance. Of all the intervals less than an octave the fifth
is the most important, because it is the most sharply defined of them and
therefore has the most influence on intonation. It is the interval
between the tonic and its dominant or subdominant."
	"The perfect fourth, ration 4:3 is the inversion of the fifth, i.e. the
difference between an octave and a fifth. Among intervals less than the
octave it is second only to the fifth in smoothness and definition."

I would suspect the fact that fourths and fifths are nearly beatless, or
beatless, might enter, also into the notion of "perfect".

les bartlett
houston
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