五度相生律 Pythagorean tuning
（重定向自Pythagorean scale）
五度相生律 与十二平均律、纯律为音乐的三种主要律式。
按照自然泛音的纯五度关系依次产生音序（5声，7声，12音）的生律方式，该方法产生的音阶与十二平均律有着细微的差异。
依上法可得七声音阶，兹整理为下表。
按照五度音列向上（下）n个音的一般公式如下：（BM=基准音频率，n=相生次数）
Pythagorean scale
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Pythagorean tuning 五度相生律
（重定向自Pythagorean scale）
![The syntonic tuning continuum, showing Pythagorean tuning at 702 cents.[1]](/uploads/202502/05/Syntonic_Tuning_Continuum0529.jpg)
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Pythagorean tuning (Greek:Πυθαγόρεια κλίμακα) is a tuning of the syntonic temperament in which the generator is the ratio 3:2 (i.e., the untempered perfect fifth), which is 702 cents wide.
Hence, it is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2, "found in the harmonic series." This ratio, also known as the "pure" perfect fifth, is chosen because it is one of the most consonant and easiest to tune by ear and because of importance attributed to the integer 3.
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