巴赫,用音符构了一个宇宙
Bach, a Universe Built in Sound
一、莱比锡的工匠
约翰·塞巴斯蒂安·巴赫,不大像后世替“伟大艺术家”准备的那幅画像。
先把贝多芬的狂暴、莫扎特的神童光环、瓦格纳的自我神话放到一旁。看见一个工匠。莱比锡圣托马斯学校的乐长——Thomaskantor,也是这座城市主要教堂的音乐负责人。
他的工作是什么?为礼拜日和节期准备音乐,排练学生唱诗班,教音乐,协调乐手和抄谱,处理学校与教堂事务。职位原有拉丁语教学责任,他安排别人代授。还有和市政、学校当局的争执:经费、人手、谁能任命领唱生,音乐背后有一大堆并不悦耳的事。
他从1723年在莱比锡任职,直到1750年去世,二十七年。尤其最初几年,新的康塔塔几乎紧跟着教会年历到来;以后也有重演、改编和别人的作品。一轮又一轮礼拜逼近,音乐必须准备好。加上受难曲、弥撒曲、管风琴曲、键盘曲、室内乐、管弦乐,传下来的作品逾千。
一千多首的背后,不是一间与现实隔绝的房间。他在两次婚姻中有二十个孩子,十个活到成年。家庭的抚育与失落、学生的训练、行政的争执,都与写作处在同一个生活里。家人、学生和乐手也参与抄写、排练,让纸上的音乐真正响起来。
灵感并不因此缺席。但如果只看灵感的火焰,就看不见交付的日子。这个礼拜要响。下一个礼拜,又要响。才华在反复劳动里获得了声音。
前面写到杜甫在现实中不断回应;这里的巴赫也不只是被期限凿出形状。他拿起凿,也亲手构。在压力中工作,又把工作的条件变成作品的材料。不是一台不会累的机器,是一个持续做事的人。
二、赋格
走近巴赫,可以先学着听一首赋格。
赋格不是固定的“主旋律加背景”。几个声部保有各自的线条,又相互追逐、交织。声部可以由人唱,也可以由乐器奏;在键盘上,一双手就能让几条线同时行走。
不妨从一个常见的开头听起。
第一个声部说出主题,通常只有几小节。若借用本系列的词,这是“构”:一个可以继续工作的声音单元。
第二个声部进入,作出答题,通常移到属调的位置,常见为高五度或低四度,有时还要调整音程以维持调性。不是简单把高音搬到低音。旋律像从另一个方向回来,认得出来,位置却不同了。
与此同时,第一个声部继续走,和第二个声部形成对位。两条旋律各有方向,纵向相遇时既有协和,也有不协和及其解决。音乐的秩序不是把张力消灭,而是使张力能够运动。
第三个声部进入;如果是四声部赋格,第四个也进入。几条线依次带来主题,后来又在不同的调性、音区和组合中让它重现。
旋律的上行变成下行,是倒影;音值拉长,是增值;缩短,是减值。在更广的对位写作中,还可以把音的次序倒过来,作逆行。这些是可选择的手法,不是每一首赋格的必经清单。同一个出发点被反复改造,听者沿着痕迹认出它。
本文愿意把这听成凿与构的循环。
主题是构——暂时立住的建筑单元。
变形是凿——对已成形之物重新发问、重新塑造。
声部之间的张力,让我们想到余项:它不能只从一条线听尽。对位是音乐术语,余项是这里的哲学借喻。
赋格不必无止境地增加声部。它让有限的几条线离开、回来、交叉,让主题与插部轮流推进。同一时刻可以有几个方向,合在一起却形成任何单独声部都没有的整体。
涌现。不是一条旋律把其他旋律吞掉,而是彼此的关系构成了新的东西。
想到这里,我们会想起牛顿:少量定律打开广阔的物理描述,少量音乐材料打开复杂的声音关系。两者不是同一种证明,却有可以互相照亮的构造之美。
三、平均律
《平均律键盘曲集》,原名Das Wohltemperierte Clavier,是巴赫最著名的键盘曲集之一。两卷,每卷二十四组前奏曲与赋格,走过十二个大调与十二个小调。
二十四个调。从C大调到b小调,每个调都有一首前奏曲、一首赋格。这不是全世界所有音乐的地图,却把大小调体系中的这二十四扇门一一打开。
当时有多种调律办法。有些调律让常用调悦耳,却让远关系调出现刺耳的音程;能兼顾各调的调律则把道路拓宽。“良好调律”不能直接等同于今天的十二平均律,巴赫究竟采用哪一种具体方案也没有定论。
但乐谱给出了一件可以听见的事:没有哪个调在这部曲集里被闲置。每一组都得到自己的展开。巴赫在第一卷题页上还把学习者的练习与熟练者的乐趣写进用途;教学和艺术在这里没有分家。
听到这里,本文想起本系列关心的那个立场:主体是目的,而不只是手段。
调性不是人,并不因此取得伦理上的主体资格。但在听觉的比喻里,我们可以暂时不把某个调只当作通往另一个调的走廊。C大调不必把升F小调挤到边缘。它们各有可以展开的美。
若把这叫作音乐中的“目的王国”,那是听者的想象,不是巴赫替康德写出的证明。我们听到的,是给不同声音留下位置的可能。
四、上帝
在巴赫的不少乐稿上,可以看见两种缩写。
“J.J.”——Jesu Juva,耶稣,帮助我。
“S.D.G.”——Soli Deo Gloria,荣耀唯归上帝。
它们把工作放进信仰的方向里。巴赫在路德宗的礼拜生活中写作,也为宫廷、城市、学生和音乐会写作;为上帝,不必意味着听众和邻人都不在场。
这给本系列的群像添了一种鲜明的姿态。
如果把几个人暂时画成剪影:苏格拉底守着追问,康德求诸理性,尼采不断自我超越,释迦牟尼指向解脱。这些剪影并不能包尽他们各自的思想与信仰。
而巴赫把“荣耀归于谁”写在乐谱上。
顺着这个姿态想象,他不必把自己看成音乐唯一的源头。他可以把劳动理解为领受与回应:工匠俯身,把自己所相信的更大秩序带到纸上。这个形象是本文的读法,不是他留下的一段自我独白。
我们未必分享他的信仰,却可以理解这种方向如何支撑日常劳动。它不能单独解释一千多首作品,更不能保证一个人永不疲惫。
若把每一次创造都当作自我必须独力生出世界,负担会很重。
若把自己放进一个比自己更大的关系中,有时可以重新获得力量。
这是一种可能,不是一张让信徒免于枯竭、让不信者必然枯竭的处方。
晚年的巴赫视力严重衰退,1750年接受眼部手术后健康进一步恶化。关于失明的他口授一首众赞歌前奏曲,身后出版物留下了一则动人的叙述;后人又把它讲成临终当天向女婿口授。现存乐谱和版本关系没有坐实这整个病榻场景。那首与《我今来到你宝座前》相连的作品,也有更早音乐的根。
即便不把传说当实录,晚年仍在修订、整理作品的巴赫,依然能与失聪后写第九交响曲的贝多芬形成回声。身体的困难没有抹去工作留下的痕迹。这不是要求每一个受病痛折磨的人都必须继续创造。
五、B-A-C-H
《赋格的艺术》是巴赫晚年的大型工程之一,不是可以毫无疑问排定的“最后一首作品”。
一个朴素的d小调主题,支撑起一系列赋格与卡农。倒影、增值、减值,两个主题、三个主题的组合,复杂性从有限的材料里层层生长。它深入探索赋格的可能,不必穷尽一切可能才称得上集大成。
各声部在总谱上分开写,没有明确指定整套作品的演奏编制;键盘演奏有很强的依据,后世也作过许多合奏编配。谱面上的抽象并不等于不需要身体、不需要乐器。只是换一种音色,声部之间的关系仍能显出轮廓,像建筑在不同光线下站着。
那首通常称作Contrapunctus XIV的未完成赋格,传下来的部分依次呈示三个主题,随后让它们开始结合。其中第三个主题,把作曲家的姓名带进了音乐。
德语音名里的B是降B,A是A,C是C,H是还原B。B-A-C-H。四个音,既是一个名字,也是可以在声部间传递的材料。
名字在第193小节进入。音乐并没有立即停下。它继续运动,直到手稿在第239小节中断。
手稿上有一条通常归于儿子卡尔·菲利普·伊曼努埃尔的附注,大意是:作者在写这首以B-A-C-H为对题的赋格期间去世。附注把作品与死亡相连,却没有给我们一个“写出姓名的瞬间,手就停了”的现场。
这片断口为什么留下,研究者仍有不同解释:未能写完,还是后续材料没有保存下来?后人也能续写,有的演奏采用补全,有的停在断处。知道这些,不会使突然到来的沉默变轻。
此时想到哥德尔,是本文的联想,不是音乐里又证明了一次不完备定理。
哥德尔讨论的是满足特定条件的形式体系。把名字编成音符,不等于在形式系统里表达关于自身的命题,更不会触发一条让音乐必然中断的法则。但作为听者,我们仍可能感到:建筑里响起了建造者的名字,纸页却没有把整个建筑交到我们手中。
巴赫于1750年7月28日去世。一个生命的结束,与一份乐谱的断口,在后人的阅读中叠到了一起。它们不是同一个经过记录的瞬间,却构成了强烈的回声。
庄子写,七窍凿成,混沌死了。把这幅寓言放在旁边,不是说巴赫凿进姓名便杀死了赋格;而是又问一次:当我们想把一切都安排进构造,构造之外还会留下什么?
“构不可闭合”,在这里可以作为一道问题留着。留住的还有音乐:它没有因为残缺而死去。名字响过,几个声部仍牵引着耳朵;谱页到了边缘,听的人还没有走到边缘。
六、被遗忘?
巴赫死后,没有从所有人的记忆中消失。
欧洲音乐趣味逐渐转向新的风格,海顿、莫扎特所属的时代到来,巴赫的一些作品也显得古老、繁复。卡尔·菲利普·伊曼努埃尔和约翰·克里斯蒂安等儿子享有声名;父亲的键盘曲、管风琴曲和对位技艺,仍由学生、家人、收藏者与作曲家传下去。
手稿分散,许多作品确实失传。后世甚至流传过乐谱被当废纸、被拿去包肉的故事。这个令人心疼的画面不能代替逐件核对的流传史:有些纸页不见了,有些却一直被认真保存、抄写、练习。
1829年,二十岁的费利克斯·门德尔松在柏林指挥《马太受难曲》的重要公开复演,所用版本有删节与改动。离巴赫去世已近八十年。教堂里的旧作进入新的音乐会文化,听众也变了。
那次演出成了巴赫复兴的重要标志。不是从绝对遗忘中凭空找回一个人,而是把长期存在的传承推向更大的公众。
此后,演出、出版、研究一层层展开。巴赫成为西方音乐中最受推崇的作曲家之一。曾经只在较小圈子里被传阅的乐谱,开始进入更多人的生活。
从相对退居专业圈子,到更广的公共经典地位。这条路比“遗忘、发现、封圣”曲折。
它让我们想起杜甫,却不是同一张年表。杜甫在唐代已经得到元稹等人的高度评价,宋代又被更广泛地奉为典范。生前的相知、身后的传承与后来的推尊,慢慢叠在一起。
两个人的名声都在身后继续被重写。后世尊称杜甫为诗圣,也用“音乐之父”一类称号赞颂巴赫。但这些桂冠不能遮住工匠的手:一个推敲诗句,一个编织声部,生前也已有理解者。
为什么有些作品需要更长的时间才能被更多人听懂?本文愿意从密度来想。旋律里还织着对位;悲秋、远行、久客、衰年、多病、独处,能挤在杜甫的一联里:“万里悲秋常作客,百年多病独登台。”复杂并不缺乏情感,情感就在关系的层层叠加中。
密度有时需要重听、重读。也需要老师、演奏者、抄谱人、出版者,把相遇的机会留给后来的人。时间不会自动给天才颁奖;有人肯回头,作品才再次出声。
七、两个宇宙
牛顿和巴赫的生命重叠了四十多年。牛顿按新历生于1643年,巴赫生于1685年;牛顿去世时,巴赫仍在莱比锡工作。
一个在英国,用数学为物理世界构起解释。一个在德意志,用音符构起可以听见的世界。
把他们并排,是为了看一种相似的雄心,而不是宣布两种工作完全相同。
牛顿从运动定律与引力定律出发,把地上与天上的许多运动放进同一套描述。
巴赫从主题与对位的技法出发,让简单材料长出复杂的声部关系。
牛顿的出发点精练,解释的范围广阔。
巴赫的材料可以很少,展开却极为丰富。
两种工作都让我们看见:规则未必只会限制,规则也能打开复杂性。但数学模型需要接受经验检验,音乐作品的价值不靠预测苹果怎样落地来判断。
想到牛顿,我们会看行星运行、苹果落地、彗星返回。
听到巴赫,我们会追随声部交织、主题变形、张力生成又解决。
牛顿理论后来在相对论中获得边界,并在适当条件下继续作为近似有效。《赋格的艺术》则不是等待下一套物理理论来淘汰的假说。后来的音乐能另辟道路,能批评、改写、重新演奏巴赫,却不因此让这部作品变成一个已被实验推翻的旧答案。
这不是巴赫比牛顿更永恒,也不是艺术不容判断。只是科学解释与艺术作品延续生命的方式不同。一个宇宙帮助我们描述所见,一个宇宙邀请我们再次去听。
八、荣耀唯归上帝
在本系列想象的桥头,又多了一个人。他穿十八世纪的黑色外套,戴假发,手里是一叠乐谱。他暂时不看旁人。他在看谱。
这幅画面里的他很安静,和旁边俯身观察的达尔文相映。此刻,日常的争执退远了。他只在听:声部之间的关系,主题的变形,对位。
把他推到这里的,不只是某一次灵感,还有那些已经过去的礼拜日、排练、抄写、修改。期限是一把凿,选择如何工作,也是他的手。
他到了这里,构了一个宇宙。用音符,用对位,用赋格。
这个宇宙有精密的结构,也有演奏者每一次重新作出的呼吸。打开《赋格的艺术》,它还在那里。不是每一个版本、每一次演奏都只有唯一正确的位置;而是那些声部,仍能把我们带进一场严密又活着的相遇。
然后,来到那首没有完整传下来的赋格。B-A-C-H已经响过。音乐走到第239小节。若演奏者选择不续写,声音在这里停下。
Soli Deo Gloria。荣耀唯归上帝。
构的人走了,构还在。对于停在这里倾听的人,沉默也进入了作品留下的世界。
注释
1. 任职、康塔塔周期、1730年争取资源的陈情及晚年情况参见莱比锡巴赫档案馆年表。每周准备教会音乐,不等于二十七年每周新作一首;作品还经历重演与修订。“一千多首”是概括性规模,不把作品目录中的每个编号都当作互不重复、归属绝无争议的新作。
2. 赋格说明是入门性的听觉路线,并非固定格式:声部数、答题、插部及变形手法因作品而异;对位容纳按风格组织的不协和。逆行属于更广的对位手法,不能与《赋格的艺术》的镜像倒影混为一谈。
3. 《平均律键盘曲集》每卷二十四组,两卷共四十八组前奏曲与赋格。第一卷题页有1722年及教学、学习者使用的说明;第二卷形成于较晚时期。良好调律与十二平均律不能简单画等号。调性、声部与“主体是目的”的比较是本文的听觉比喻,不把音符当作伦理主体。
4. J.J.与S.D.G.是部分手稿上的信仰题记,不是全部手稿的固定标配。信仰可以给劳动方向,但不能证明作曲家从不疲惫,也不意味着非信徒必定枯竭。对苏格拉底、康德、尼采与佛陀的短句是群像中的剪影。
5. BWV 668与1751年《赋格的艺术》初版所附众赞歌版本关系复杂;出版者以此补偿赋格未完,并传述失明的巴赫向友人口授。莱比锡众赞歌手稿中的BWV 668出自未确定的抄写者之手;女婿阿尔特尼科尔抄写了前面的BWV 666、667。不能由此确证临终当天口授给女婿。眼病、手术及身后叙事也不足以支持本文作现代医学死因诊断。
6. 《赋格的艺术》手稿、1751/1752年印本与现代编次不尽相同。未完成赋格常编号为Contrapunctus XIV,初版题为Fuga a 3 Soggetti。B-A-C-H主题在第193小节出现,手稿止于第239小节;全套的主要d小调主题尚未在残存部分出现,后世常以加入该主题的方案续写。补全证明一种音乐上的可行性,不等于找到巴赫失落的原稿。
7. 手稿末附注通常归于C.P.E.巴赫,不能据此断言作曲者在第239小节落笔时死亡。把署名、自指、庄子与哥德尔并置,属于文学解释。哥德尔第二不完备定理在相应条件下限制形式体系对自身一致性的证明,不预言音乐的中断,也不为人生价值作裁决。
8. 1829年柏林《马太受难曲》的复演是接受史的重要转折,不是巴赫全部音乐此前八十年无人传承的证据。包肉等故事保留为后世传说,不作具体手稿去向的确证。杜甫的唐代评价可参见元稹墓志。牛顿比较与桥头相会均为本文构想,结尾的沉默是特定演奏与聆听中的体验,不宣称巴赫有意把未完当作完成。
史料与延伸阅读:莱比锡巴赫档案馆:生平年表 · 莱比锡巴赫档案馆:作品的流传与编目 · 荷兰巴赫协会:《赋格的艺术》BWV 1080 · 荷兰巴赫协会:众赞歌前奏曲BWV 668 · 荷兰巴赫协会:《平均律》及BWV 862 · 亨乐:《赋格的艺术》校勘版前言 · Lyrebird Music:《赋格的艺术》版本说明与校勘记录 · 美国国会图书馆:John Moran撰音乐会说明,含手稿信仰题记 · 《新音乐研究杂志》:以语料分析《平均律》的调律问题 · 元稹:《唐故工部员外郎杜君墓系铭》
I. The Craftsman of Leipzig
Johann Sebastian Bach does not quite fit the portrait later ages prepared for the “great artist.”
Set aside Beethoven’s fury, Mozart’s child-prodigy halo, Wagner’s self-mythology. Look first at a craftsman: the Thomaskantor at Leipzig’s St Thomas School, also responsible for music in the city’s principal churches.
What did the job involve? Preparing music for Sundays and feast days, rehearsing schoolboys, teaching music, coordinating players and the copying of parts, attending to school and church business. The position included Latin teaching, which he arranged for others to undertake. There were disputes with municipal and school authorities over money, staffing, and the appointment of choir prefects. Behind the music stood many unmusical matters.
He worked in Leipzig from 1723 until his death in 1750: twenty-seven years. Especially during the early years, new cantatas followed close on the heels of the church calendar; later programs also used revivals, adaptations, and other composers’ works. Service after service approached, and the music had to be ready. Add Passions, masses, organ and keyboard music, chamber and orchestral works: more than a thousand compositions have come down to us.
Behind that number was no room sealed off from ordinary life. In two marriages he fathered twenty children; ten reached adulthood. Raising a family and grieving losses, training pupils, arguing over administration: these belonged to the same life as composition. Family members, pupils, and performers helped copy and rehearse the music that would turn paper into sound.
Inspiration was not absent. But if we see only its flame, we miss the delivery date. This Sunday the music must sound. Next Sunday, again. Talent found its voice through repeated work.
An earlier essay presented Du Fu as a poet responding to the pressures of reality. Bach, too, was not simply carved into shape by deadlines. He took up the chisel and built with his own hands. He worked under pressure and made the conditions of work into material. Not a tireless machine: a person who kept doing the work.
II. Fugue
One way toward Bach is to learn to listen to a fugue.
A fugue does not assign one fixed melody the lead and everything else the background. Several voices retain their own lines while pursuing and interweaving with one another. Voices may be sung or played; at a keyboard, two hands can set several lines walking at once.
Listen to a common beginning.
The first voice states a subject, often only a few measures long. In this series’ vocabulary, that is construction: a unit of sound with which further work can be done.
A second voice enters with an answer, generally at the dominant, often a fifth higher or fourth lower, sometimes with intervals adjusted to preserve the tonal relationship. It is not simply a high melody moved into a low register. The line seems to return from another direction: recognizable, differently placed.
Meanwhile the first voice continues, forming counterpoint with the second. Each has a direction; their vertical encounters include consonance, dissonance, and resolution. Musical order need not abolish tension. It lets tension move.
A third voice enters; in a four-voice fugue, a fourth follows. The lines bring in the subject successively, then return to it in different keys, registers, and combinations.
An upward motion turned downward is inversion. Lengthened note values make augmentation; shortened ones, diminution. In contrapuntal writing more broadly, note order can also be reversed: retrograde. These are available techniques, not a compulsory checklist for every fugue. A starting point is repeatedly reshaped, and the listener recognizes its traces.
This essay would like to hear a cycle of carving and construction here.
The subject is construction: a building unit that provisionally stands.
Transformation is carving: questioning and reshaping what already has a form.
The tension between voices suggests remainder, something no single line lets us hear completely. Counterpoint is the musical term; remainder is our philosophical metaphor.
A fugue need not add voices without end. It sends a finite set of lines away and brings them back, crosses them, alternates statements and episodes. Several directions can coexist, making a whole that no voice possesses alone.
Emergence. Not one melody swallowing all the others, but their relationships bringing something new into being.
This recalls Newton: a small set of laws opens a broad physical description; a small amount of musical material opens complex relations in sound. They are not the same kind of demonstration, but their ways of building can illuminate one another.
III. The Well-Tempered Clavier
Das Wohltemperierte Clavier, The Well-Tempered Clavier, is among Bach’s best-known keyboard collections. Two books, each containing twenty-four pairs of preludes and fugues, traversing twelve major and twelve minor keys.
Twenty-four keys, from C major to B minor. A prelude and a fugue for each. Not a map of all the world’s music, but twenty-four doors in the major–minor system, each opened in turn.
Several tuning practices coexisted. Some favored common keys but left harsh intervals in more remote ones; temperaments accommodating all keys widened the road. “Well-tempered” cannot simply be equated with modern equal temperament, and Bach’s precise preferred arrangement remains unsettled.
The score nevertheless gives us something audible: no key lies unused within this collection. Every pair receives its own development. On the first book’s title page, Bach also names the learner’s study and the accomplished player’s enjoyment. Teaching and artistry do not live in separate rooms.
Listening, this essay recalls the commitment at the heart of the series: a subject is an end, not merely a means.
A key is not a person and acquires no ethical standing by analogy. Yet, as a way of hearing, we can stop treating a key as nothing but a corridor toward another. C major need not push F-sharp minor to the margins. Each has a beauty that can unfold.
Call this a musical “kingdom of ends,” and the image belongs to the listener, not to a proof Bach supplied for Kant. What we hear is the possibility of making room for different voices.
IV. God
Two abbreviations appear on a number of Bach’s manuscripts.
“J.J.”—Jesu Juva: Jesus, help me.
“S.D.G.”—Soli Deo Gloria: glory to God alone.
They place work within the direction of faith. Bach composed within Lutheran worship, and also for courts, cities, pupils, and concerts. To work for God need not mean that listeners and neighbors are absent.
This adds a distinct posture to the figures in our series.
If we briefly draw silhouettes: Socrates guards the question, Kant appeals to reason, Nietzsche pursues self-overcoming, Shakyamuni points toward liberation. None of these silhouettes contains the whole of a person’s thought or faith.
Bach writes on the score where the glory belongs.
Following that gesture, we can imagine him not having to regard himself as music’s sole origin. Labor might be receiving and responding: a craftsman bends over the page, bringing to it something of a greater order in which he believes. That is this essay’s reading, not a recorded interior monologue.
We need not share his faith to understand how such a direction might sustain daily labor. It cannot by itself explain a thousand works, nor guarantee that a person never tires.
To treat every act of creation as the self’s solitary duty to produce a world can be a heavy burden.
To place oneself within a relationship larger than oneself can sometimes renew strength.
This is a possibility, not a prescription that exempts believers from exhaustion or condemns unbelievers to it.
In his later years Bach’s sight seriously deteriorated; after eye operations in 1750, his health worsened further. A posthumous publication tells a moving story of the blind composer dictating a chorale prelude. Later retellings place his son-in-law at the deathbed on the day he died. Surviving scores and their relationships do not establish that whole scene. The work associated with Before Your Throne I Now Appear also has roots in earlier music.
Even without making the tradition a transcript, the Bach who continued revising and gathering works in old age can echo Beethoven writing the Ninth after losing his hearing. Bodily difficulty did not erase the work’s traces. That is not a demand that everyone living with illness must go on creating.
V. B-A-C-H
The Art of Fugue was one of Bach’s great late projects, not an unambiguously identifiable “last composition.”
A plain D-minor subject supports a succession of fugues and canons. Inversion, augmentation, diminution, combinations of two subjects and three: complexity grows layer by layer from limited material. The work explores the possibilities of fugue deeply; it need not exhaust every possibility to be a culmination.
The voices are written on separate staves, without an explicit performing ensemble for the whole collection. There is a strong case for keyboard performance; later musicians have also made many ensemble arrangements. Abstraction on the page does not dispense with bodies and instruments. Rather, under changing timbres, the relationships remain discernible, like a building standing in different light.
The unfinished fugue commonly called Contrapunctus XIV successively presents three subjects in its surviving portion, then begins to combine them. The third brings its composer’s name into the music.
In German note names, B means B-flat, A means A, C means C, and H means B-natural. B-A-C-H. Four notes: both a name and material that can pass between voices.
The name enters at measure 193. The music does not stop immediately. It moves onward, until the manuscript breaks off at measure 239.
A note on the manuscript, usually attributed to his son Carl Philipp Emanuel, says in substance that the composer died while working on this fugue in which B-A-C-H appears as a countersubject. The annotation connects the piece with death. It does not give us a witnessed instant when writing the name caused the hand to stop.
Why does the break remain? Researchers offer different explanations: composition left incomplete, or later material that has not survived? Others have supplied endings. Some performances use completions; others stop at the break. Knowing this need not make the arriving silence any lighter.
To think of Gödel here is this essay’s association, not a second demonstration of incompleteness in music.
Gödel’s theorems concern formal systems satisfying particular conditions. Encoding a name as notes is not the same as expressing a statement about a formal system within that system, nor does it trigger a law requiring music to stop. Yet a listener can still feel this: the builder’s name sounds inside the building, while the pages do not deliver the whole building into our hands.
Bach died on 28 July 1750. The ending of a life and the break in a score have become superimposed in later reading. Not one documented instant, but a powerful resonance.
Zhuangzi tells of Hundun dying when the seventh opening is bored. Set that fable beside the fugue, not to claim that Bach killed his music by carving in his name, but to ask again: when we try to arrange everything within a construction, what remains beyond it?
“No construction can close upon everything” can remain a question here. The music remains too. It did not die from incompleteness. The name has sounded; the voices still draw the ear onward. The page has reached its edge. The listener has not.
VI. Forgotten?
After Bach’s death, he did not disappear from everybody’s memory.
European taste moved toward new styles, toward the age of Haydn and Mozart, and some of Bach’s music seemed old and elaborate. Sons including Carl Philipp Emanuel and Johann Christian gained fame. Their father’s keyboard and organ works and contrapuntal craft nevertheless continued through pupils, family, collectors, and composers.
Manuscripts were dispersed, and many works were indeed lost. Later stories even described scores treated as waste paper or used to wrap meat. That painful image cannot replace a history tracing individual sources: some pages vanished; others were carefully preserved, copied, and practiced.
In Berlin in 1829, twenty-year-old Felix Mendelssohn conducted a landmark public revival of the St Matthew Passion, in a version with cuts and alterations. Nearly eighty years had passed since Bach’s death. An older church work entered a new concert culture, before a changed audience.
The performance became a milestone of the Bach revival. It did not retrieve someone from absolute oblivion; it brought an existing tradition before a much larger public.
Performances, publications, and scholarship expanded. Bach became one of the most admired composers in Western music. Scores once shared within smaller circles began to enter many more people’s lives.
From relative retreat into specialist circles toward a wider public canon: a less straight road than forgetting, discovery, canonization.
It recalls Du Fu without duplicating his chronology. Du Fu was already highly praised by Yuan Zhen and others in the Tang; the Song made him a still more widely followed exemplar. Understanding during his lifetime, transmission after death, and later admiration slowly accumulated.
Both reputations continued to be rewritten after death. Later readers called Du Fu the Poet Sage; admirers gave Bach titles such as Father of Music. But the laurels should not conceal the craftsman’s hands: one revising verse, one weaving voices, both already finding some understanding in their own time.
Why do certain works need longer to reach more listeners? This essay considers density. Counterpoint is woven into melody; autumn grief, distance, long wandering, age, illness, solitude can crowd into Du Fu’s couplet: “Far from home, grieving in autumn, always a traveler; / old and often ill, I climb the height alone.” Complexity does not exclude emotion. Emotion lives in the layers of relationship.
Density can require listening and reading again. It also needs teachers, performers, copyists, publishers who leave an encounter available to the next generation. Time does not automatically award genius its prize. Someone must turn back for the work to sound again.
VII. Two Universes
Newton’s and Bach’s lives overlapped for more than forty years. Newton was born in 1643 by the modern calendar, Bach in 1685; when Newton died, Bach was still working in Leipzig.
One, in England, used mathematics to build explanations of the physical world. The other, in the German lands, used notes to build a world we can hear.
Place them together to examine a shared ambition, not to declare their work identical.
From laws of motion and gravitation, Newton brought many earthly and celestial motions into one description.
From subjects and contrapuntal techniques, Bach developed complex relations among voices out of simple material.
Newton’s starting principles were concise; their explanatory reach was broad.
Bach’s material could be small; its unfolding could be extraordinarily rich.
Both show that rules need not merely constrain: they can open complexity. But mathematical models must answer to experience; a composition’s value is not judged by predicting how an apple falls.
Thinking of Newton, we watch planets orbit, apples fall, comets return.
Listening to Bach, we follow voices interweaving, subjects changing, tensions forming and resolving.
Relativity later defined limits for Newton’s theory, which remains an effective approximation under appropriate conditions. The Art of Fugue is not a hypothesis awaiting replacement by the next physical theory. Later music can find other paths, criticize, rework, and perform Bach anew without turning his work into an answer refuted by experiment.
That does not make Bach more eternal than Newton, or art immune to judgment. Scientific explanations and artworks continue living in different ways. One universe helps us describe what we see; another invites us to listen again.
VIII. To God Alone the Glory
At this series’ imagined bridgehead, another figure arrives. An eighteenth-century black coat, a wig, a stack of music in his hands. For a moment he does not look at the others. He looks at the score.
He is quiet in this picture, answering the stillness of Darwin bending to observe nearby. For a moment, daily disputes have receded. He is listening: to relationships between voices, transformations of subjects, counterpoint.
What brought him here was not only some moment of inspiration. It was also all those Sundays, rehearsals, copied parts, revisions. Deadlines were a chisel; choosing how to work was the movement of his own hand.
Here he has built a universe. In notes, in counterpoint, in fugue.
It has exacting structures, and breaths that performers take anew each time. Open The Art of Fugue: it is still there. Not every edition or performance has only one correct place for every choice. Rather, the voices can still draw us into an encounter at once rigorous and alive.
Then comes the fugue that has not reached us complete. B-A-C-H has already sounded. The music reaches measure 239. If the performer chooses not to supply a continuation, the sound stops here.
Soli Deo Gloria. To God alone the glory.
The builder is gone. The building remains. For those who pause here to listen, silence too enters the world the work has left.
Notes
1. For the Leipzig post, cantata cycles, the 1730 appeal for resources, and his final years, see the Bach Archive chronology. Providing weekly church music did not mean writing a new cantata every week for twenty-seven years: revival and revision were part of the work. “More than a thousand” conveys scale, not a claim that every catalogue number is a unique, uncontroversially attributed new composition.
2. The fugue account offers a listening route, not a fixed form. Voice numbers, answers, episodes, and transformations vary. Counterpoint accommodates stylistically organized dissonance. Retrograde belongs to the wider contrapuntal repertoire and should not be confused with the mirror inversions in The Art of Fugue.
3. Each Well-Tempered Clavier book contains twenty-four pairs, forty-eight pairs in total. The first book’s title page gives 1722 and identifies educational and recreational uses; the second book developed later. Well temperament is not simply equal temperament. Keys, voices, and the subject-as-end are compared metaphorically, not by granting notes ethical personhood.
4. J.J. and S.D.G. are religious inscriptions found on some manuscripts, not a fixed feature of all of them. Faith may orient work without proving that a composer never tired or that unbelief entails exhaustion. The brief portraits of Socrates, Kant, Nietzsche, and the Buddha are silhouettes within this essay.
5. BWV 668 has a complex relationship with the chorale version appended to the 1751 Art of Fugue print. The publishers supplied the chorale to compensate for incompleteness and transmitted a story of the blind Bach dictating to a friend. The Leipzig chorale manuscript’s BWV 668 is in an unidentified hand; his son-in-law Altnickol copied the preceding BWV 666 and 667. This does not establish dictation to the son-in-law on the day of death. Eye disease, operations, and posthumous narratives do not license a modern medical diagnosis here.
6. The Art of Fugue manuscripts, 1751/1752 print, and modern orderings differ. The incomplete fugue is often numbered Contrapunctus XIV; the original print calls it Fuga a 3 Soggetti. B-A-C-H enters at measure 193; the manuscript stops at 239. The collection’s main D-minor subject has not appeared in the surviving portion. Completions often introduce it, demonstrating a musical possibility rather than recovering a lost Bach manuscript.
7. The closing manuscript annotation is usually attributed to C.P.E. Bach. It does not establish that the composer died while writing measure 239. The juxtaposition of signature, self-reference, Zhuangzi, and Gödel is literary. Under the relevant conditions, Gödel’s second incompleteness theorem restricts a formal system’s proof of its own consistency; it predicts neither a musical interruption nor a verdict on a life.
8. The Berlin revival of the St Matthew Passion in 1829 is a reception-history turning point, not evidence that nobody transmitted Bach’s music for eighty years. Meat-wrapping stories remain later traditions, not verified provenance for particular manuscripts. Yuan Zhen’s epitaph documents Tang admiration for Du Fu. The Newton comparison and bridgehead meeting are this essay’s constructions; the final silence belongs to a particular performance and listening experience, not a claim that Bach intended incompletion as completion.
Sources and further reading: Bach Archive Leipzig: biographical chronology · Bach Archive Leipzig: transmission and cataloguing of the works · Netherlands Bach Society: The Art of Fugue, BWV 1080 · Netherlands Bach Society: chorale prelude BWV 668 · Netherlands Bach Society: The Well-Tempered Clavier and BWV 862 · Henle: preface to the critical edition of The Art of Fugue · Lyrebird Music: Art of Fugue editorial introduction and critical notes · Library of Congress: John Moran’s concert notes, including manuscript religious inscriptions · Journal of New Music Research: a corpus study of tuning in The Well-Tempered Clavier · Yuan Zhen: epitaph for Du Fu