5D Library › Vocal Biomechanics, Non-Linear Source-Filter Coupling and Auditory-Motor Feedback · 中文

Chapter 7 Reading the Classics: Prolonged Words, the Pipes of Heaven and “Turning the Hearing Back”

This chapter reads the modern research of the previous six chapters beside several passages of classical Chinese literature. Chapter 7 of Volume 10 already read the opening of the Record of Music, “all tones arise from the human heart”, and Shen Kuo’s “no words within the sound, sound within the words”; rather than repeat them, we read other passages here: Shi Yi on song in the Record of Music, the three kinds of piping in the Zhuangzi’s “Discussion on Making All Things Equal”, two treatises on singing from the Yuan and Qing dynasties, and the Śūraṅgama Sūtra’s “turn the hearing back to hear one’s own nature”. All English translations of the classical passages are the author’s own.

First, the boundary. These texts belong to their own traditions of ritual and music, philosophy, theatre and religion; they are about aesthetics, self-cultivation or liberation, not experiments in acoustics or physiology. Reading them beside voice science is meant to let two kinds of description illuminate each other, not to claim that the ancients “already discovered” source–filter coupling, self-sustained oscillation or auditory feedback.

Shi Yi on song: “prolonging the words” and “a string of pearls”

Source text

故歌者,上如抗,下如队,曲如折,止如槁木,倨中矩,句中钩,累累乎端如贯珠。故歌之为言也,长言之也。说之,故言之;言之不足,故长言之;长言之不足,故嗟叹之;嗟叹之不足,故不知手之舞之,足之蹈之也。(孙希旦 撰,沈啸寰、王星贤 点校 1989)

“So in song, rising is like lifting something up and falling like something dropping; a turn is as crisp as a break, and a stop as still as a withered tree; the straight conforms to the square and the curved to the hook; note follows note, upright and unbroken, like a string of pearls. So song, as a kind of speech, is speech drawn out. Being pleased, one speaks; when speaking is not enough, one draws the words out; when drawing them out is not enough, one sighs and exclaims; when sighing is not enough, without knowing it the hands begin to dance and the feet to stamp.”

(Book of Rites, “Record of Music”, the section in which Zigong asks the music master Shi Yi about music)

The passage closes Shi Yi’s answer to Zigong about which songs suit which temperaments. The first half describes good singing; the second traces song from speech to “drawn-out speech”, sighing and dance, an overflow of feeling beyond words. (队 is read as 坠, “to fall”.)

Read beside the earlier chapters, at least two points shed light in both directions. First, “speech drawn out” defines singing as the prolongation of speech. In the language of Chapters 2 and 3, what is prolonged is chiefly the vowel: while a vowel is sustained, the relation between source and tract changes from the rapid transitions of speech into a steady state that can be “tuned”; clustering formants and placing harmonics in favourable regions of reactance only make sense over such a stretch of time. Second, “a stop as still as a withered tree” and “note follows note, like a string of pearls” describe a pitch line with two qualities at once: each note held steady (where the loop of Chapter 5 must suppress drift without oscillating), and notes that are joined yet distinct. Singing teachers today might speak of “clear pitches within a legato line”.

They are not the same thing, however. Shi Yi is speaking of how song sounds, of aesthetic standards and of the relation between song and feeling; “rising like lifting, falling like dropping” are metaphors, not descriptions of laryngeal movement.

Hypothesis · not established

String-of-pearls hypothesis (not yet established). Legato phrases that listeners judge more “like a string of pearls” (notes joined yet distinct) have, acoustically, both shorter pitch transitions and steadier pitch plateaus (a smaller F0 standard deviation within each plateau). Testable prediction: when a panel of listeners rates recordings of several dozen singers performing the same phrase, the ratings correlate negatively with transition time and positively with plateau steadiness, each predicting the ratings independently. If the ratings relate to only one of the measures, or to neither, the hypothesis must be revised or abandoned.

The Zhuangzi: the piping of man, of earth and of heaven

Source text

子綦曰:「偃,不亦善乎而问之也!今者吾丧我,汝知之乎?女闻人籁而未闻地籁,女闻地籁而未闻天籁夫!」子游曰:「敢问其方。」子綦曰:「夫大块噫气,其名为风。是唯无作,作则万窍怒呺。……」

子游曰:「地籁则众窍是已,人籁则比竹是已。敢问天籁。」子綦曰:「夫吹万不同,而使其自己也,咸其自取,怒者其谁邪!」(郭庆藩 撰,王孝鱼 点校 1961)

Ziqi said: “Yan, what a good question! Just now I lost myself; did you know? You have heard the piping of man but not the piping of earth; you have heard the piping of earth but not the piping of heaven!” Ziyou said: “May I ask what you mean?” Ziqi said: “The great clod breathes out, and its name is wind. As long as it does not rise, nothing happens; but when it rises, ten thousand hollows howl. …”

Ziyou said: “The piping of earth is the many hollows; the piping of man is the bamboo pipes. May I ask about the piping of heaven?” Ziqi said: “It blows on the ten thousand things differently, yet lets each be itself; each takes what it takes by itself. Who is it that rouses them?”

(Zhuangzi, “Discussion on Making All Things Equal”)

The original meaning of this passage is philosophical. “I lost myself” (吾丧我), forgetting the clinging “I” that takes itself to be in charge, is the starting point of the whole chapter; the piping of man, of earth and of heaven leads step by step to “who is it that rouses them?”: the sounds of all things are so of themselves, with no instigator standing behind them. It is part of the chapter’s argument for dissolving the opposition of right and wrong, and of self and things. (Some editions read 自已 for 自己 in “lets each be itself”.)

One formal resemblance is worth noting, provided the boundary is held. The piping of earth, one wind sounding differently through hollows of different shapes, resembles the source–filter picture of Chapter 2; “lets each be itself” recalls Chapter 1, where each opening of the folds is not “roused” by the muscles but sustained by airflow and tissue themselves. But Zhuangzi is not discussing acoustics, and reading the “piping of heaven” as physics would misunderstand both. For singers there may be another meaning: Volume 10’s research on external focus and Chapter 5’s “feedforward does most of the work” both suggest that skilled phonation needs no “I” issuing orders at every moment. That is the author’s extension, not what the Zhuangzi says.

The Treatise on Singing and Transmitting the Sound of Yuefu: books on singing

Yannan Zhi’an’s Treatise on Singing (唱论) from the Yuan dynasty is among the earliest surviving works devoted to the art of singing, and Xu Dachun’s Transmitting the Sound of Yuefu (乐府传声) from the Qing is a well-known treatise on singing in the Kunqu and northern traditions; both are included in the Collection of Classical Chinese Writings on Drama (中国戏曲研究院 编 1959).

Note

Two quotations could not be checked. The framework quotes the Treatise on Singing as saying “凡唱曲有地所……有声不散”; this could not be found word for word in any text that could be checked. It also quotes Transmitting the Sound of Yuefu: “出声之法,必先明乎口齿喉舌唇五音之部位”; this could not be verified word for word either. Under this book’s rules, neither is reproduced as an original quotation; below we only paraphrase the general content of the two books, and ask the author to check the edition used before deciding whether to quote them.

The Treatise on Singing discusses, in short entries, the vocal lines, rhythm and types of tunes of sung verse and the faults commonly heard, summing up the experience of singing northern-style sung verse in the Yuan. Transmitting the Sound of Yuefu is more systematic, divided into several dozen short sections such as “Mouth Rules for Producing the Sound” (出声口诀), “The Five Sounds” (五音), “The Four Mouth Shapes” (四呼), “Returning to the Rhyme” (归韵) and “Closing the Sound” (收声). Its core is the word: the initial of each syllable is classified by place of articulation into five “sounds”, throat, tongue, teeth, molars and lips; the final is classified by mouth shape into four “calls”, open, even, closed and rounded; and in singing a syllable the “emission” (the head of the word), the “return to the rhyme” (its belly) and the “closing” (its tail) must all be rendered clearly, so that when the word is correct the vocal line is rounded. Xu Dachun was a celebrated physician, yet his treatment of the parts of the mouth is entirely phonological, not anatomical.

Read beside modern research, the “five sounds and four calls” prescribe the shape of the vocal tract, the filter of Chapters 2 and 3, and “emission, return and closing” correspond to the coarticulation of consonant, vowel and coda. The tradition puts the word first, unlike the Western classical habit of modifying vowels for resonance and the singer’s formant; how the two trade “word” against “sound” could be compared acoustically. But the “five sounds” are a phonological classification of initials, not a physiology of resonating cavities; they say nothing about the epilarynx or source–filter coupling.

“Turn the hearing back to hear one’s own nature”: as a metaphor

Source text

初于闻中,入流亡所。所入既寂,动静二相,了然不生。

此方真教体,清净在音闻。……大众及阿难,旋汝倒闻机,反闻闻自性,性成无上道,圆通实如是。(般剌蜜帝 译 1928)

“At first, within hearing, I entered the stream and forgot what was heard. When what I had entered became still, the two marks of motion and stillness clearly did not arise.”

“In this world the true substance of the teaching is pure, in sound and hearing. … Assembly, and Ānanda, turn around your inverted faculty of hearing; turn the hearing back to hear its own nature, and that nature becomes the unsurpassed way. Such truly is perfect penetration.”

(Śūraṅgama Sūtra, fascicle 6: Avalokiteśvara’s account of perfect penetration through the ear faculty, and Mañjuśrī’s verse)

Volume 2 of this series, Turning the Hearing Inward, discussed this passage and its relation to auditory science at length; here we only stress its place in this book. In the sutra, “turning the hearing back” means turning attention away from the sounds that are heard to the nature of hearing itself, with absorption and liberation as its aim; it does not ask anyone to listen to bone-conducted sound, and it is not a method of voice training. Borrowing the passage as a metaphor for singing practice, moving attention from “controlling the voice” to “listening to sound and vibration”, is only a teaching metaphor (the author’s own teaching uses it, and he has an interest here; see the disclosure in the preface); its effects need testing by experiments like the hypothesis of Chapter 5, and it is a different matter from the religious meaning of the scripture.

Note

Four boundaries. First, different aims: the Record of Music is about ritual music and temperament, the Zhuangzi about the equality of things and forgetting the self, the Treatise on Singing and Transmitting the Sound of Yuefu about the art of sung verse, the Śūraṅgama Sūtra about practice and liberation; this book is about measurable voice and hearing. Second, different methods: the classical texts rely on experience, metaphor and transmission from teacher to pupil; modern research relies on measurement, models and controlled experiments. Third, resemblance is not identity: between the “piping of earth” and source–filter theory, “letting each be itself” and self-sustained oscillation, “turning the hearing back” and auditory feedback, the likeness is only one of form. Fourth, religious practice and acoustic training must be kept apart: this book neither evaluates nor promotes any religious practice; its exercises are not religious practice, and religious practice should not be measured by acoustic indices.

Chapter summary

Shi Yi in the Record of Music defines song as “speech drawn out” and describes steady, joined singing as “a stop as still as a withered tree” and “a string of pearls”; this can be read beside source–filter tuning in sustained vowels and the control of pitch, but it is a discourse on aesthetics and feeling. The three kinds of piping in the Zhuangzi recall in form the same airflow sounding through different cavities and an oscillation that needs no “instigator”, but their meaning is forgetting the self and the equality of things. The Treatise on Singing and Transmitting the Sound of Yuefu represent a singing tradition centred on the word; the two sentences quoted in the framework could not be verified word for word and are only paraphrased. The Śūraṅgama Sūtra’s “turn the hearing back to hear one’s own nature” is used here only as a metaphor, and the line between religious practice and acoustic training must stay clear. The final chapter offers a checklist for practical use and a pre-registered trial.

References

中国戏曲研究院 编. 1959. 中国古典戏曲论著集成. 中国戏剧出版社.
孙希旦 撰,沈啸寰、王星贤 点校. 1989. 礼记集解. 中华书局.
般剌蜜帝 译. 1928. 大佛顶如来密因修证了义诸菩萨万行首楞严经. 大正一切经刊行会.
郭庆藩 撰,王孝鱼 点校. 1961. 庄子集释. 中华书局.

Fan, Y. (2026). Vocal Biomechanics, Non-Linear Source-Filter Coupling and Auditory-Motor Feedback: From Titze's Self-Sustained Vocal Fold Oscillation and Vocal-Tract Inertance to the Lombard Effect, Read Beside Classical Chinese Vocal Aesthetics [嗓音生物力学、非线性源-滤波耦合与听觉-运动反馈的数学模型] (Version 1.0.0). 5D Library. https://doi.org/10.5281/zenodo.23770084 · Licensed under Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0).