The Supreme Principles Governing the World

Alignment and Harmony

齊和

Intercalary Tones: Clear Harmony Pitch-Pipes

閏音清和律

The Meaning of Intercalary Tones

閏音之義

閏音清和律者,以閏之法調音之清濁也。閏者,曆之所以補天地之差也。音之閏者,聲之所以補律呂之不足也。

The 'Intercalary Tones Clear Harmony Pitch-Pipes' regulate the clear and turbid [registers] of sound through the intercalary method. The intercalary is how the calendar compensates for the gap between Heaven and Earth. The intercalary in sound is how tones compensate for the insufficiency of the pitch-pipe system.

Morning Star Sounds: Lu Intercalary Clear

辰星聲呂閏清

辰星聲呂閏清和律三之一。辰星者金星也,其聲配呂管之清音。以閏數調之,使清濁得和。

Morning Star Sounds: Lu Intercalary Clear Harmony Pitch-Pipes, Part Three of One. The morning star is Venus; its sound is matched to the clear tones of the lu pipes. The intercalary number regulates it, making clear and turbid achieve harmony.

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