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.
关键词
五度相生律/归纳定义/生律次数/向前生律/向后生律/二倍音调节数/音名/音程
Key words
Pythagorean Tuning/induction definition/number of times tuning is generated/tuning generated forward/tuning generated backward/number of two-tone adjustments/pitch name/interval