Abstract
Partch described the use of the 11/9 interval by Ptolemy in the second century and the use of the 8/7 by Mersenne in the seventeenth century,l but these intervals were not extensively used in European composition before the twentieth century. The 11/9 interval of 347.4 cents is very close to the neutral third of quarter-tone tuning, 350 cents, the interval used by Charles Ives to construct the primary chord in his Chorale in Three Quarter-tone Pieces. It was also used by James Tenney in Changes: Sixty-four Studies for Six Harps. The neutral third is located midway between the major and minor thirds
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