intervals

Leslie W Bartlett lesbart1@juno.com
Fri, 30 Jun 2000 16:59:22 -0500


This, from Daniel Kramlich, almost a doctorate from Indiana U. in theory,
and just completing a DMA in composition at Univ. of Houston.

Perfect Intervals
	The fifth and fourth are the first two intervals in the overtone series
that are not repetition of another note.

	They are fundamental consonances that do not change quality in both
major and minor scales. Other relationships change in the major/minor
shift. However, says he, the second, which doesn't change, does pose a
bit of a problem.

	When fifths and fourths invert, they revert to like intervals (i.e.
perfect) but major seconds become minor sevenths, major thirds, minor
sixths, and major sixths, minor thirds.

	Perfect intervals form the smallest numbers in the overtone ratios.
	1:1 -unison
	2:1 -octave
	3:2 -fifth
	4:3 -fourth,

les bartlett
houston
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