On the Rigorous Logical Structure of Pythagorean Tuning
The article defines the"Pythagorean Tuning"by a rigorous mathematical induction method,and scientifical-ly gives it"number of times tuning is generated",which is the core concept of the infinite Five-degree Tunes;fol-lowing the most basic"iron law"of tuning that each tuning must be limited to one octave in any tuning law;calculat-ing the formula of its m(number of two-tone adjustments)with x(the number of times of tuning generation of one certain tune of Five-degree Tunes)obtained in a strict mathematical way;According to the"the number of times of tuning generation",the uniform pitch name,frequency value and interval name from the fundamental note C to the interval of the rhythm are completely determined,and four methods are provided to accurately calculate phonetic val-ue(accurate to 0.001 phonetic value)and frequency(accurate to 0.01 Hz)of the interval.
Pythagorean Tuninginduction definitionnumber of times tuning is generatedtuning generated forwardtuning generated backwardnumber of two-tone adjustmentspitch nameinterval
万方数据
维普
