Deductive Reasoning Set 3

Tempo exclusions for sextuplets (3/8 with prevailing sixteenth-note motion) using deductive reasoning. The “since” half expresses a tempo “x” in terms of every possible note value from one to six sixteenths. The “then” half expresses the equivalent dotted-quarter-note tempo, which represents the sequence “ax/6” where “a” = 1, 2, 3,etc.

Since s = x must be excluded, then dq = x/6 must also be excluded.

Since e = x must be excluded, then dq = x/3 must also be excluded.

Since de = x must be excluded, then dq = x/2 must also be excluded.

Since q = x must be excluded, then dq = 2x/3 must also be excluded.

Since q + s = x must be excluded, then dq = 5x/6 must also be excluded.

Since dq = x must be excluded, then dq = x must also be excluded.

(etc., infinite progression)