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Partch, Harry; GENESIS OF A MUSIC; 1949 ,1974; Da Capo Press, Inc. New York. Copyright 1949, 1974 by Harry Partch. Typed by Barb. Golden, October 1994. excerpts

The inevitable symmetry of the structure is apparent, just as it was apparent in the degrees of the 5-limit scale (previous chapter). Each ratio has its complement in the other half of the scale, and there is the same sequence of intervals between degrees, starting from 1/1 and 2/1, and proceeding to 7/5 and 10/7, respectively. Also, each interval between degrees is a successive-number ratio.

As will be seen either from the sequence of unequal quantities of cents or from the unequal steps more graphically presented in the diagram, successive degrees cannot be equal in a Monophonic Just Intonation. No interval between degrees is equal to the following interval; and no multiple of an interval will go into another interval in such a way as to form a "cycle" or "circle"; and there is no extensive "column," to use the Ellis terminology, in a Monophonic system of Just Intonation. p.135

degrees cents

1/1 0 81/80 21.5 33/32 53.2 21/20 84.5 16/15 111.7 12/11 150.6 11/10 165.0 10/9 182.4 9/8 203.9 8/7 231.2 7/6 266.9 32/27 294.1 6/5 315.6 11/9 347.4 5/4 386.3 14/11 417.5 9/7 435.1 21/16 470.8 4/3 498.0 27/20 519.5 11/8 551.3 7/5 582.5 10/7 617.5 16/11 648.7 40/27 680.5 3/2 702.0 32/21 729.2 14/9 764.9 11/7 782.5 8/5 813.7 18/11 852.6 5/3 884.4 27/16 905.9 12/7 933.1 7/4 968.8 16/9 996.1 9/5 1017.6 20/11 1035.0 11/6 1049.4 15/8 1088.3 40/21 1115.5 64/33 1146.8 160/81 1178.5 2/1 1200


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