The music of ancient Greece employed various rhythms and scales, some of which are not in common use today. Some melodies included an interval of a ditone above two microtones, called an enharmonic tetrachord.
This is difficult to describe and not easy to demonstrate. To get an idea, play scales on a piano using only the following notes: A, B, C, E, and F. Then add two more notes, one halfway between B and C, one halfway between E and F. Maybe you're better off using a guitar.
Scholars are not sure. We can speculate. Maybe it is difficult to distinguish quarter-tone intervals. Maybe quarter-tones would be acceptable in a different environment.
Most musical traditions have developed scales including intervals of at least two sizes between adjacent pitches, without which the music can sound sterile. Adjacent intervals may differ by various ratios in different styles and cultures:
As the ratio widens, music becomes more tense and emotionally charged. To a point, it retains an aesthetic logic. Yet there may be limits to what the ear will accept. The ratio of 8:1 between adjacent intervals in enharmonic scales represented at least a doubling of the most extreme ratio then known. It forced the listener to focus closely on fine quarter-tone intervals, then leap over other possible pitches of equal relevance before landing a ditone away.
Some modern composers, such as Harry Partch, have experimented with enharmonic scales.
Send suggestions or comments to Spud DuBoise at aloe@rev.net.
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Last revised: 30 January 2008
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