Mathematics and Music

Pierre de Fer­mat was born in in the first decade of the 17th cen­tury. He was an ama­teur math­e­mati­cian, but one who became very famous for his “Last The­o­rem”: no three pos­i­tive inte­gers a, b, and c can sat­isfy the equa­tion an + bn = cn for any inte­ger value of n greater than two. This decep­tively sim­ple the­o­rem, eluded a for­mal proof from the most gifted math­e­mat­i­cal geniuses for over three cen­turies. The the­o­rem was not proven until Sep­tem­ber 1994, when Andrew Wiles finally achieved his life­long ambi­tion and proved it.

Once a math­e­mat­i­cal the­o­rem is proved, it becomes like a law of nature. Plants are green, the sun is yel­low, the square of the hypotenuse of a right-angled tri­an­gle is the sum of the squares of its two sides, and so on. There is no mys­tery about it, it doesn’t engage our minds any longer because there is noth­ing to engage, only to learn. Once you study it suf­fi­ciently to learn it, there is noth­ing else left to learn. Fermat’s chal­lenge to human­ity lasted over three cen­turies, but it is a chal­lenge no longer.

Wolf­gang Amadeus Mozart was born in Jan­u­ary 1756. He is world famous for many of his com­po­si­tions. Over 250 years later, his com­po­si­tions still con­tinue to baf­fle lis­ten­ers. We can study a com­po­si­tion and learn it, but it will con­tinue to engage us and we will find there is yet more to learn. Our learn­ing of great com­po­si­tions is never complete.

Math­e­mat­i­cal truths are eter­nal and time­less. But the genius math­e­mati­cians who dis­cover them for the first time are dis­tanced from that truth. The beauty of the truth does not belong to the dis­cov­erer, it belongs to the universe.

Musi­cal com­po­si­tions are eter­nal and time­less too. But the genius com­poser who cre­ates them remains an inte­gral part of them. The beauty of the truth in great com­po­si­tions belongs as much to the com­poser as to the universe.

Math­e­mat­i­cal beauty is innate to the Uni­verse and gifted to mankind. Musi­cal beauty is cre­ated by man and gifted to the Universe.

Kaande-Pohe Ritual in Maharashtra, India

In my cul­ture, when a prospec­tive bride­groom vis­its a prospec­tive bride in the con­text of an “arranged mar­riage”, it is a cus­tom for the girl to pre­pare “kaande-pohe” and the guy is sup­posed to then assess her cook­ing skills based on how good they have been pre­pared. (“Kaande” is Onions, “Pohe” is flat­tened rice). This is a cus­tom that has been fol­lowed for gen­er­a­tions, so much so, that we urban boys when jok­ing about prospec­tive cou­ples just men­tion “kaande-pohe” and the rest is understood.

Poha,_a_snack_made_of_flattened_rice

I have always been curi­ous why it is this par­tic­u­lar, spe­cific prepa­ra­tion that has come to be asso­ci­ated with this mar­riage rit­ual. The answer, as always, lies in the agri­cul­tural and eco­nomic roots of Maharashtra.

This is a region where rice and jowari was plen­ti­ful. On the other hand, wheat was a del­i­cacy. “Poha” is flat­tened rice, that was used by bat­ter­ing rice at home in ancient times. It was read­ily avail­able any­where you went. Cha­p­ati, on the other hand, is made out of wheat, which was a lux­ury few could afford. Also, one fam­ily vis­it­ing a prospec­tive fam­ily was not a close enough acquain­tance for a full-fledge meal, in which cooked rice, and Bhakri would be served. Fam­i­lies often went scout­ing for mul­ti­ple brides in one day.

Onion (“kaanda”) and Pohe were guar­an­teed to be avail­able any­where you went. The need of the hour was for a sim­ple snack, eas­ily afford­able, whose ingre­di­ents were avail­able uni­ver­sally, irre­spec­tive of eco­nomic sta­tus. Thus, the rit­ual of the girl prepar­ing “Kaande-Pohe” became the ‘norm’.

The Evolution of Childhood

I keep hear­ing this often from adults who get nos­tal­gic about their child­hood, want to be a child again, and lament at the sup­posed “loss” of child­hood that today’s kids encounter. As an exam­ple, take this post from my Twit­ter friend Haroon Bijli. This post was inspired from a con­ver­sa­tion on Twit­ter with @Bijli and @LyricalMutiny.

Con­sider:

  • I never expe­ri­enced in-house cat­tle like my par­ents did for unlim­ited milk-supply. Kids these days need to be taught where milk orig­i­nally comes from.
  • Unlike my elder sib­lings, I did not learn swim­ming in a huge vil­lage well from elder cousins.
  • When I grew up, there was no com­puter, no iPad. When my dad grew up, there was no calculator.

And so on. You get the pic­ture. Now:

  • My kid will never get the expe­ri­ence of draw­ing water from a well in the village.
  • My kid may never taste raw milk drawn from a buf­falo live in front of you.
  • My kid will never know the joys of col­lect­ing Jun­gle Book stick­ers from under­neath soft-drink bot­tle caps.
  • My kid who has tried fly­ing a kite will prob­a­bly have a kid in future who will prob­a­bly be fly­ing a remote-controlled UFO.

Point is, I did not have the child­hood my par­ents had. My kid won’t have the child­hood I had. Does this make any one child­hood bet­ter or worse than the other?

  • My kid may one day lament about how her kid doesn’t have the child­hood she had.

One valid point was raised in the con­ver­sa­tion on Twit­ter, about kids becom­ing couch pota­toes. All kids seem to do these days is watch TV or play on iPads and do noth­ing else. No phys­i­cal activ­ity, whatsoever.

If that is the case, it is cer­tainly bad. But it’s not the kids’ fault. No kid is born to be a couch potato. One becomes a couch potato only by learn­ing from parents.

Are you actively engag­ing your kid in play­ing out­door games? Are you prac­tic­ing a musi­cal instru­ment along with your kid? Are you prac­tic­ing the dance steps your kid has learnt in school? And so on. Your kid will always do what you nor­mally do, as a way of life. If one’s way of life is a couch-potato, one’s kid will be the same.

Today’s kids will never do what you did as a child. You did not do the things your par­ents did when they were kids. Should we keep think­ing that our child­hood was some­how great and it is lost for­ever for future generations?

Aren’t we being myopic and self-centered? The world changes and so should we. Each and every child­hood is spe­cial. We’re just too grown up and inflex­i­ble to real­ize and adapt to change, which is a con­stant of nature and life in general.

Periods & Eras in Western Classical Music

[This post is #7 in the West­ern Clas­si­cal Music Series]

Why should you care about peri­ods and eras in WCM? Because they’re invalu­able if you wish to appre­ci­ate a WCM work in per­spec­tive his­tor­i­cally. On a broad level, WCM has evolved through the fol­low­ing eras:

  • Baroque (1600 — 1750)
  • Clas­si­cal (1750 — 1830)
  • Roman­tic (1830 — 1940s)
  • Mod­ern ((1940s — Present)

Yes, as sim­ple as that. But these four peri­ods cover over four cen­turies of music. Eras in music par­al­lel man’s evo­lu­tion in many ways. Soci­etal norms are reflected in each mile­stone. Let’s look at each era in some detail.

Baroque

Music in the Baroque era was pri­mar­ily an indi­vid­ual hobby. The con­cept of music to be used to enter­tain or embell­ish an occa­sion was not yet widely prac­ticed. Hence, Baroque works are like an indi­vid­ual cre­at­ing, refin­ing, and con­tin­u­ing to refine his own artis­tic work. I often think of musi­cians of this era as icon­o­clasts and intro­verts, who used music as the dimen­sion of exis­ten­tial life that these unso­cia­ble souls turned to in order to ful­fill their intel­lec­tual and cre­ative abilities.

As a result, music of the baroque era tends to be mostly intellectual, intertwined with musi­cal con­structs that par­al­lel those in math­e­mat­i­cal equa­tions. The fact that emo­tion can be involved in music wasn’t dis­cov­ered or appre­ci­ated dur­ing this era, hence it is largely devoid of emo­tion. Music was a sub­ject of intense study, not enter­tain­ment. Groups of musi­cians per­form­ing together was a con­cept that was born dur­ing this era, unheard of before, lead­ing to some of the first trios & quar­tets. Thus, it was in the Baroque era that Cham­ber Music was born.

Do not equate his­tor­i­cal pro­gres­sion of the evo­lu­tion of music with the abil­ity to appre­ci­ate it. Baroque works are often the hard­est and most dif­fi­cult to appre­ci­ate though they pre­date other works, like from the Roman­tic era, that may be much eas­ier on the mind and ears.

In many ways, Baroque music mir­rors the Baroque archi­tec­tural style — embell­ish­ments and adorn­ments all around for each theme. Also, most of the Forms we dis­cussed ear­lier were devel­oped and for­mal­ized dur­ing the Baroque era.

The most famous com­poser of the Baroque era was Johann Sebas­t­ian Bach. The sheer bril­liance of his work makes him a tow­er­ing fig­ure in music even today, remark­able for the intel­lec­tual depth and artis­tic clar­ity of his com­po­si­tions. To me, he epit­o­mizes Baroque music. Rec­om­mended lis­ten­ing for J. S. Bach:

Bran­den­burg Con­cer­tos (Sample):

The Well-Tempered Clavier (Sample):

The Art of Fugue (Sample):

Clas­si­cal

The Clas­si­cal era is when music flour­ished and flow­ered while still remain­ing restricted within strict, for­mal rules of com­po­si­tion. Clas­si­cal music departed from Baroque orna­men­ta­tion, lead­ing to sim­ple melodic tunes with­out intel­lec­tual embell­ish­ments. Emo­tion was still not the dri­ving force behind the com­po­si­tion — it was form, and form that clas­si­cal com­posers held up on a pedestal as the god­dess of music. The musi­cal forms and styles we dis­cussed in ear­lier posts, like the sonata, the sym­phony, and the con­certo, were all devel­oped dur­ing the Clas­si­cal period. The defin­ing ele­ment of Clas­si­cal music is bal­ance — try bal­anc­ing a piece of stick on a sin­gle fin­ger for a while, and that’s what clas­si­cal music is all about — com­bin­ing mul­ti­ple instru­men­tal voices into a melodic har­mony, expound­ing on its the­matic abil­i­ties, while bal­anc­ing it within rigid rules of form.

The indis­putable mas­ters of this era were Franz Joseph Haydn and Wolf­gang Amadeus Mozart. Here are some inter­est­ing and enter­tain­ing facts about Haydn you must read. At a time when Mozart’s father (a huge influ­ence in his life) was ques­tion­ing his son’s career path, in 1785, Haydn said to Mozart’s father Leopold:

Before God and as an hon­est man I tell you that your son is the great­est com­poser known to me either in per­son or by name; he has taste, and, fur­ther­more, the most pro­found knowl­edge of composition.

Haydn was a father fig­ure to Mozart and their friend­ship is very well doc­u­mented.

Haydn is con­sid­ered, jus­ti­fi­ably, to be the father of the sym­phony and the string quartet.

Rec­om­mended lis­ten­ing for Joseph Haydn: Sym­phonies 103, 104 (Sample):

It was Franz Schu­bert and Lud­wig van Beethoven who started as clas­si­cal com­posers and helped evolve music into the next era.

Roman­tic

Socio-political changes brought about one of the great­est evo­lu­tion­ary changes in music his­tory: the intro­duc­tion of emo­tion in music. For the first time, music broke its rigid shack­les of struc­ture and form, giv­ing promi­nence to indi­vid­ual expres­sion roam­ing wild and free. As stated before, Schu­bert and Beethoven lived this tran­si­tion, but it is Beethoven on whom the spot­light shines as the pil­lar of this enor­mous tran­si­tion. Other mas­ters of this era who need to be men­tioned are Felix MendelssohnRobert Schu­mann, the god of piano Frédéric ChopinHec­tor Berlioz, and Franz Liszt. It makes me cringe to write all these names in a sin­gle sen­tence, for each of them is respon­si­ble for a body of works so vast and huge, that to be able to appre­ci­ate them all in a sin­gle life­time is vir­tu­ally impos­si­ble. Believe me, you can spend more than one life­time just attempt­ing to plumb the depths of Chopin’s works — a genius who made the piano tran­scend from a mere instru­ment to a medium for inex­press­ible emotions.

Here is one of Chopin’s most pop­u­lar Noc­turne, of which he com­posed not less than 21.

Most of Chopin’s works are best appre­ci­ated alone, in the dark, at night.

You must have lis­tened to Schubert’s “Ser­e­nade” numer­ous times, with­out know­ing it:

Observe how the music doesn’t fol­low any of the Baroque/Classical forms or struc­ture, it is free flow­ing, as and where the artist’s heart and mind wan­dered. This is the essence of Roman­tic music.

The Roman­tic era is also the one where opera flow­ered thanks to Richard Wag­ner and Giuseppe Verdi. Hav­ing only a sin­gle life­time, I con­fess I am not an expert in Opera hence can’t write much about it.

Finally, a spe­cial men­tion goes to the two Russ­ian geniuses, Sergei Rach­mani­noff and Pyotr Illyich Tchaikovsky. Tchaikovsky was a closet gay who has cre­ated mon­u­men­tal works, and his death remains a mys­tery even today. And any­one who has not lis­tened to Rachmaninoff’s 2nd Piano Con­certo has not lived at all. Here is Sergei him­self play­ing it, thanks to a 1929 recording:

Mod­ern

Before delv­ing into the Mod­ern era, let us give a lit­tle thought to the expo­nen­tial growth of com­plex­ity in music. Let us take the sym­phony as a barom­e­ter of the cre­ative work of a composer:

  • Haydn com­posed 106 sym­phonies in his lifetime
  • Mozart com­posed 41
  • Beethoven com­posed 9

As time passed, each com­poser felt obliged to put in more and more com­plex thought in each of his com­po­si­tions. Johannes Brahms kept a bust of Beethoven over­look­ing the table he com­posed and took 20 years to com­pose his first sym­phony. 20 years! He ended up com­pos­ing 4 sym­phonies in his lifetime.

As com­posers strug­gled with cre­ativ­ity, there evolved two schools in 20th cen­tury music. One fol­lowed the same tonal foun­da­tion based on cen­turies of prior work, while the other broke the bound­aries of tonal­ity alto­gether. The lat­ter gave rise to atonal music, where there is no cen­tral key around which the com­po­si­tion rests. The most famous com­poser of this school is Arnold Schoen­berg, who invented Seri­al­ism as a unique foun­da­tion of com­po­si­tion. On the other hand, within the tonal school of com­po­si­tion, Igor Stravin­sky broke new ground with his some­times shock­ing com­po­si­tions, espe­cially those involv­ing dis­so­nance for the first time in WCM.

I am not at all famil­iar with most of mod­ern music, and Stravinsky’s “The Rite of Spring” remains the only work that I enjoy from this period. Works such as “The Rite of Spring” are really meant to be lis­tened to live in front of the full orches­tra, to appre­ci­ate the nuances and the dis­so­nance. I have been for­tu­nate to attend two live per­for­mances of this unbe­liev­able work. It is a work of about 30 min­utes, but those 30 min­utes trans­port you to a dif­fer­ent world alto­gether. This is how Disney’s artists inter­preted it in the clas­sic “Fan­ta­sia (1940)”:

Sum­mary

Dif­fer­ent peo­ple like WCM from dif­fer­ent eras. You may like Baroque and hate Clas­si­cal. You may fall in love with Roman­tic and hate Baroque. The point is, there is cen­turies of music for you to pick and choose when it comes to WCM. Do not give up if one par­tic­u­lar form or genre from one par­tic­u­lar era doesn’t suit you — try another. These eras are also instruc­tive in learn­ing about how music evolved through the cen­turies. Happy listening!

The Conflict of Online & Offline Identities

The pace of psy­cho­log­i­cal sci­ence has not kept up with the pace of tech­no­log­i­cal progress, lead­ing to a whole slew of issues sur­round­ing our so-called online identities.If you fol­low psy­chol­ogy as far as it flows into main­stream media, you must have observed the stud­ies sur­round­ing online addic­tion, mar­riages, sui­ci­dal behav­ior, and so on. But, these are extrem­i­ties, and the numer­ous sur­veys and research stud­ies don’t address what the rest of the 99% are going through. Yes, there is indeed a con­flict we are all expe­ri­enc­ing as our dig­i­tal per­sonae become as or more per­va­sive as our real ones were never des­tined to be.

It is a con­flict that needs deeper study.

Even in our real lives, we strug­gle to under­stand our real self. This illus­trates the sit­u­a­tion pretty well:

  (I am not sure where this abstrac­tion comes from – Carl Rogers comes close)

In essence, we are nei­ther who we think we are, nor are we what oth­ers think we are. Our real “self” is embed­ded in some shadow. Dis­cov­er­ing this – our “real self” – is the magic that has spawned gen­er­a­tions of god­men and mys­tics. This quest for the search of our true “iden­tity” has con­tin­ued for centuries.

What hap­pens when you intro­duce online iden­tity? This:

 The quest for iden­tity has got­ten much, much more dif­fi­cult thanks to the Inter­net. We are no longer just real human beings liv­ing in real lives, vis­i­ble to sound, sight, and touch – we are now a Twit­ter account, a Face­book account, a Google Plus account, and so on.

These online accounts are iden­ti­ties in them­selves. Whether one chooses to asso­ciate these online iden­ti­ties with one’s real iden­tity is an individual’s choice. (Reminder – there are over 7 bil­lion peo­ple on this planet). But many do, and when they do, there is a con­flict. Online and Offline col­lide in ways one had never thought of before. Yes, they do, just like this.

How does it look when your online per­sona is very dif­fer­ent from what you really are?

 The more dif­fer­ent you are online than in your real life, the more stress you will feel.

Some peo­ple are true to them­selves to such an extent that their real life iden­ti­ties match closely with their online identities.

 These are folks who expe­ri­ence har­mony, with their dig­i­tal and real self entwined together.

Another way to think about this:

 No won­der mil­lions of peo­ple are try­ing to solve the puzzle.

The Cobbler

When I was a kid grow­ing up in the Mum­bai sub­urb of Ghatkopar, our Dad always used only one cob­bler for all our family’s footwear needs. This cob­bler, Mr. Karande, worked at a small shop ahead of Shiv­aji Park in Dadar. Both my par­ents, and three of us kids’ footwear needs through­out school were ser­viced by Mr. Karande over a span of 30–35 years. He hailed from the same native place as my father — Kol­ha­pur — which as you may know is famous for the Kol­ha­puri chap­pal.

Sewing school leather boots for us chil­dren involved two trips — one where he mapped out our feet sizes and shapes onto pieces of paper, and the other to try out the new boots. There were plenty of ready-made shoes avail­able near home as were many other cob­blers, but my Dad wouldn’t have any of them. It was a painstak­ing 3-4hr jour­ney to visit Mr. Karande each time, but it had its rewards. The footwear almost never needed any repairs, it was so tough and durable. It was highly com­fort­able, because it was indi­vid­u­ally per­son­al­ized. Mr. Karande even knew our indi­vid­ual usage pat­terns, such as which parts of the bot­tom were more likely to be overused, and designed the footwear accord­ingly, strength­en­ing or thick­en­ing dif­fer­ent parts.

It was a rela­tion­ship that tran­scended footwear. When Mr. Karande’s son decided to ven­ture into the trans­port busi­ness and wanted financ­ing for his first vehi­cle, my Dad, the banker, arranged a loan for him. When­ever either my par­ents or Mr. Karande made a pil­grim­age, the prasaad would be shared at our next meet­ing. A few years back, I came to know from my par­ents that Mr. Karande was no more. On one such pil­grim­age, he knelt in front of the deity and never got up. It was the end of an era.

A cou­ple of months back, the joint between the toes of my footwear broke. For two months, I did noth­ing about it, con­tin­u­ing to suf­fer the incon­ve­nience. Once, while attend­ing a music fes­ti­val, we had to walk quite a bit and I almost sprained my leg as a result of the bro­ken footwear. I was too lazy to go out and buy a replace­ment, and I didn’t know if there was a cob­bler near where we live.

Today, I asked around and located a cob­bler on the main street, within 5 min­utes walk­ing dis­tance from our home. For the past six years, we haven’t ever noticed him. I walked up to him and asked him if he could repair my bro­ken footwear. He didn’t even look up, didn’t bother to reply, just took it and started repair­ing it. As my Dad’s son, I have been trained to first nego­ti­ate a price and then pro­ceed with the con­tract and I felt a slight remorse at not doing so. Then again, as my Dad’s son, I won­dered how much he will swin­dle me for this small job. (One of the rea­sons for hav­ing one and only one ven­dor for each of his needs was that Dad believed oth­ers would charge much more for the same). I decided that Rs. 10 would be the right price for this kind of job.

As I watched him work his magic, I was mes­mer­ized by his skill. He weaved his magic with intri­cate care and a lot of skill. When it was over, he just returned the footwear, said Rs. 5, con­tin­u­ing to not look up at me even once. I took Rs. 10 from my wal­let, handed it to him and told him to keep it. It was then that he looked up at my face. He was too stunned to say any­thing. But for that one brief moment, I was no longer just a pair of legs with footwear — in the eyes of the cob­bler, I became a human being.

Today, I relived an infin­i­tes­i­mally small part of my Dad’s rela­tion­ship with his cob­bler. But it made my day.

Romance

Time ticks, clocks tock
Hearts click, minds lock

Pulse races, senses alert
Emo­tion sur­faces, we flirt

Lips quiver, fin­gers shiver
Hearts flut­ter, love flowers

Cheeks glow, eyes shine
Days flow, you become mine

Years fly, we dance
This is the sky, this romance

The Fine Art of Translation

Ear­lier in July this year, I repro­duced a short essay I had writ­ten in Marathi back in 1993, along with my first attempt at trans­lat­ing it to Eng­lish. Here is my Eng­lish ver­sion, again (just in case you’re too lazy to click and read the ear­lier post :) Skip this if you’ve read it already )

The Sky had spent many days har­bor­ing its sor­rows within itself. There were many clouds over its usu­ally clear, light and cloud­less frame of mind, due to the weight of many days of conflict.

We often find a unique rep­re­sen­ta­tion of our emo­tions in many facets of nature. The pangs of despair and the ache result­ing from it had found sym­bolic rep­re­sen­ta­tion in the light­ning that ensued.

The sud­den, unex­pected, short-lived, but blind­ing light­ning was slash­ing against the Sky’s heart. The cruel, sav­age light­ning turned the help­less Sky into a wounded soul.

The Wind was con­vey­ing the state of this wounded Sky every­where; it was run­ning in all direc­tions, fran­ti­cally search­ing for help. But no one lis­tened. The flora and fauna on the Earth couldn’t look at this depressed state of the Sky, and wanted to help, but they were rooted to the Earth. They were not free to leave the con­fines of their Mother Earth. The trees were sway­ing lis­ten­ing to the story from the wind, trem­bling in vain attempts to reach out to the Sky, but they couldn’t move.

Notwith­stand­ing all this, the tor­ture of the light­ning con­tin­ued. The Sky’s pains and anguish grew. There were thun­der­storms. The Sky began to shud­der. After cross­ing its limit for grief, the Sky, already drawn to the point of tears, began cry­ing. Teardrops began to fall. As if it was pour­ing its heart out in cry­ing, rain began to fall.

The Earth, who had been wit­ness­ing all this silently, ran to the res­cue. The Earth’s soil emanated that unique fra­grance, reach­ing out to the Sky, offer­ing a shoul­der for it to cry. The Sky was out­pour­ing all its grief that it had held for a very long time, and kept rain­ing, seek­ing the warmth of the Earth. The essence of this embrace between Earth and Sky was sym­bol­ized by that unique fra­grance, where they met and caressed each other…

Now, my dear friend @Asuph who prac­tices the Fine Art of Imbal­ance, has gra­ciously trans­lated my orig­i­nal Marathi essay into Eng­lish and posted it in the com­ments of my orig­i­nal post. Here is his version:

The sky was worn down by the bag­gage it had car­ried for a long time. The con­flicts of those days had over­clouded its oth­er­wise clear, unclut­tered mind.

Many a times our emo­tions find uncanny par­al­lels in nature. The lash­ing pains and the despair­ing grief, pent up within for days and weeks, found their embod­i­ment in the light­ning. The pangs of grief, unan­tic­i­pated, acute, blind­ing, tore at its heart, left the hap­less sky bruised.

The wind spread the news of the plight of the sky in every which direc­tion, fran­ti­cally search­ing for help. But no one offered to help. Down on earth, the trees watched the sky help­lessly. The tales of the wind moved them, they shud­dered, and swayed. In vain, they tried to break free. But rooted too strong in their world, they could not break free — to run to the sky, and offer it some solace.

Unbe­com­ing, the light­ning con­tin­ued its tor­ture. The sky was now engulfed in waves of unbear­able pains. Encour­aged, the light­ning stepped up its cru­elty, roar­ing, and thun­der­ing.  The sky shud­dered, and then, when the pains crossed a point, tears escaped it. A trickle gave way to a down­pour, as the sky opened up.

The earth, which was the silent spec­ta­tor, now offered her sol­i­dar­ity. As she imbibed the first teardrops, the wet earth let out a unique scent. Aided by the wind, it reached the sky, a token of the earth’s com­pas­sion. It was as if the earth had put her arm around it. That touch was all the sky needed, to let go. As it cried its heart out, the down­pour lasted for a while, releas­ing all the pent up agony. Even when it finally stopped, the essence of their com­mu­nion lin­gered on through the scent of the wet earth.

How much smoother it reads! How nat­u­rally it flows! It is as if it were writ­ten like this for the first time. Are trans­la­tions best when done by oth­ers? Is an author too shack­led with the words he used in his orig­i­nal that he can’t let go of them when trans­lat­ing? I think there’s a cer­tain ele­ment of truth to this, what do you think?

Genres & Styles in Western Classical Music

[This post is #6 in the West­ern Clas­si­cal Music Series]

After look­ing at some of the Forms used in WCM, let us look at some of the pop­u­lar Gen­res or Styles that make up the world of WCM. Note that as music evolved, com­posers increas­ingly began to exer­cise their free­dom and cre­ativ­ity, to the extent that at times they even broke away from these styles.

Orches­tral vs. Cham­ber Music

WCM works can be broadly dif­fer­en­ti­ated as either being ‘Orches­tral’ or as ‘Cham­ber Music’. Orches­tral works are those per­formed by a full orches­tra, com­pris­ing dozens of dif­fer­ent instru­ments being played by dozens of per­form­ers. Sev­eral per­form­ers may play the same instru­ment. Cham­ber Music com­prises of works per­formed by a small group of per­form­ers, each play­ing a dif­fer­ent instru­ment. The rea­son for this ter­mi­nol­ogy is his­tor­i­cal — the occa­sion and pur­pose behind the two gen­res was dif­fer­ent. Orches­tral works were per­formed for the pub­lic; cham­ber music was meant to be per­formed as an accom­pa­ni­ment inside homes of royal fam­i­lies who financed and sup­ported music com­posers. For obvi­ous rea­sons, Cham­ber Music is also referred to as Ensemble.

Addi­tional Gen­res may be defined as Instru­men­tal for solo instru­ments, Choral for group of singers (choir). What fol­lows below is a generic descrip­tion of sev­eral ‘Styles’ that lie within these genres.

Con­certo

The Solo Con­certo is an orches­tral work com­posed in three move­ments, per­formed by the full orches­tra and a solo instru­ment. Typ­i­cally, con­cer­tos are writ­ten for the piano, vio­lin, cello or the flute. The inter­play between the solo instru­ment and the orches­tra is the defin­ing ele­ment of the Con­certo — this is the clos­est in WCM to the ‘jugal­bandi’ in Indian Clas­si­cal. The Con­certo has also sur­vived cen­turies of musi­cal evo­lu­tion and remains pop­u­lar to this day, with many accom­plished solo instru­men­tal­ists show­cas­ing their vir­tu­oso skills while per­form­ing in this genre.

Here is Sergei Rach­mani­noff him­self play­ing his Piano Con­certo No. 2 with the Philadel­phia Orchestra:

This was recorded in 1929, so there’s no live video. If this music seems famil­iar to you, it was used in David Lean’s 1945 film ‘Brief Encounter’, Billy Wilder’s 1955 ‘The Seven Year Itch’ star­ring Mar­i­lyn Mon­roe with the famous skirt shot, and also in Clint Eastwood’s 2010 film ‘Here­after’. See how clas­si­cal music is time­less? You can read more about Rach­mani­noff and his Piano Con­certo No. 2 here.

Con­ven­tional con­cer­tos have the first move­ment in Sonata Form, the sec­ond may be sonata or free-flowing, while the finale is typ­i­cally a Rondo or sim­ply a ‘Theme with Variations’.

Sym­phony

A Sym­phony is an orches­tral work, typ­i­cally com­posed in four or five move­ments. Like the con­certo, sym­phonies have been a main­stay of WCM for a very long time and have been very pop­u­lar. A typ­i­cal sym­phony con­forms to the fol­low­ing structure:

  1. Open­ing move­ment is fast-paced, with a solid the­matic char­ac­ter. This move­ment is usu­ally in the Sonata Form.
  2. Sec­ond move­ment is slow, some­times melan­choly or solemn. This move­ment may use the Sonata, Rondo, or a sim­ple Theme with Vari­a­tions form.
  3. Third move­ment is a Min­uet or Scherzo, mod­er­ately paced. A min­uet is meant to accom­pany dance, the Scherzo replaced it in later eras, with much faster tempo. Both fol­low the ‘Ternary Form’ (ABA…).
  4. The Fourth move­ment is the Finale, which is again a fast-paced move­ment in Sonata or Rondo form.

Many sym­phonies reverse the 2nd and 3rd move­ments. Beethoven evolved the form fur­ther by even intro­duc­ing the choir in the famous ‘Ode to Joy’ finale of his 9th Sym­phony. Here is a sam­ple, con­ducted by Her­bert von Kara­jan, in the 1977 New Year’s Eve con­cert of the Berlin Phil­har­monic Orchestra:

You can sense the incred­i­ble power of the full orches­tra. If any per­son is not moved by this spec­tac­u­lar music, there is a soul missing.

Sonata

A ‘Sonata’ is a work for one or two instru­ments, com­posed in three or four move­ments, very sim­i­lar in Form to the Sym­phony (dis­cussed above). You might say that a Sonata is a Cham­ber Music ver­sion of the Orches­tral Sym­phony. Most sonatas were writ­ten for the Piano (solo) or the Vio­lin (often accom­pa­nied by the Piano).

For a typ­i­cal WCM lover, about 70–80% of time is con­sumed by Con­cer­tos, Sonatas, and Sym­phonies, all of which employ the Sonata Form as their basic foun­da­tion. So if you’ve not spent time under­stand­ing Sonata Form, please do so, by read­ing the pre­vi­ous post again.

Opera

The Opera is full-fledged the­ater — a drama per­formed by actors who’re singers, accom­pa­nied by a full orches­tra, involv­ing a sto­ry­line, cos­tumes, sets, etc. It is one of the most endear­ing and pop­u­lar gen­res of WCM with a rich his­tory of evolution.

Opera’ means ‘work’ in Ital­ian (opus = work), pos­si­bly refer­ring to the labor involved for the per­form­ers in singing, act­ing, and danc­ing. The text of the drama is the ‘libretto’, while the songs are the ‘aria’.

This is the ‘Queen of Night’ aria from Mozart’s Magic Flute:

Lis­ten to the incred­i­ble vocals start­ing from 0:45. Unbe­liev­able composition!

Singing in an Opera is a dif­fi­cult skill, since the human voices had to be heard with­out elec­tronic ampli­fi­ca­tion over and above the full blast of the orches­tra. Dif­fer­ent male and female voices are clas­si­fied into bass/tenor/contralto/soprano/etc. accord­ing to their voice types. The music of an opera is suf­fi­ciently a work of art in itself, that can be enjoyed and appre­ci­ated with­out the the­ater. The instru­men­tal work per­formed by the orches­tra before the cur­tains open is the ‘Overture’.

Trios, Quar­tets, Quintets

As their name implies, these are works for a set of three, four, or five instru­ments. These works com­prise a vast major­ity of Cham­ber Music, and are a delight in them­selves. Cham­ber Music is more nuanced and inti­mate than Orches­tral Music, and needs a finer ear and appre­ci­a­tion. They might seem decep­tively sim­ple at first, as they don’t over­whelm the ear like Orches­tral works, but actu­ally, they’re com­plex and seri­ous, requir­ing greater ‘mind lis­ten­ing’. The most pop­u­lar among these is the String Quar­tet, which is per­formed with two vio­lins, one viola, and one cello.

There are other works in Cham­ber Music that are per­formed by trios, quar­tets, etc. but are termed dif­fer­ently, like ‘Diver­ti­mento’, ‘Ser­e­nade’, or ‘Nacht­musik’. For exam­ple, Mozart’s Diver­ti­mento in D Major, KV 136 is a mini-symphony for the string quar­tet, one of my most beloved works. Here’s the first move­ment, con­ducted by Yehudi Menuhin:

I have pre­vi­ously described how I spent 16 years to find this Diver­ti­mento com­posed by a 16-year old, over two cen­turies ago.

Rhap­sody

A ‘Rhap­sody’ is a sin­gle move­ment work that is free-flowing and doesn’t fol­low any form or struc­ture. It typ­i­cally has con­trast­ing shades of mood and tonality.

Here is George Gersh­win with his Rhap­sody In Blue, which strad­dles the West­ern Clas­si­cal and Jazz genres:

From Tom & Jerry car­toons to music albums, from adver­tise­ments to movies, this work has had a huge impact on music in all spheres of life.

In the next post, we shall look at how West­ern Clas­si­cal Music evolved through history.

Fur­ther Reading:

An Inter­ac­tive Guide To The Sym­phony: http://library.thinkquest.org/22673/index.html
Forms & Gen­res: http://solomonsmusic.net/forms.htm

Why I left Mumbai

After being born and brought up in Mum­bai, I left it in 1997. Over the years, many peo­ple have asked me about why I shifted from Mum­bai to Pune. It is time I wrote about it.

For me, life in Mum­bai was all about trav­el­ing through the sub­ur­ban local trains. The first time I started trav­el­ing alone on the local trains was when I was 10 years old. I trav­elled from Ghatkopar to Charni Road to attend Yoga Classes dur­ing the sum­mer vaca­tion. I remem­ber even as a child, instead of sit­ting on seats inside the women’s com­part­ment, I used to stand in the door. I remem­ber some elder women scold­ing me for doing that as I was just a small kid.

After grow­ing up a bit, next set of mem­o­ries are of trav­el­ling through the local train in the early morn­ing at 4:30am to attend “Agar­wal Classes” dur­ing the 11th/12th grade. By then, I had a “First Class” “sea­son pass”. Even at 4:30am in the morn­ing, there was no place to sit, so I trav­elled stand­ing in the door. Life con­tin­ued as the years flew past.

By this time, after trav­el­ling so much by stand­ing in the door, I knew every pil­lar and obsta­cle that came too close to the door as the train passes it. There was a story asso­ci­ated with each pil­lar and obsta­cle – how a friend’s friend had his head smashed by it, and so on. I could never travel “inside”, as I needed fresh air, so always trav­eled stand­ing in the door.

A strong mem­ory comes from col­lege days, when I was the youngest mem­ber of an ama­teur Astro­nom­i­cal Group, ‘Khagol Man­dal’ in Sion. We used to travel to Van­gani for full-night sky obser­va­tions. In order to carry our huge tele­scopes, we needed to board a Kar­jat train at Vic­to­ria Ter­mi­nus (VT). Imag­ine doing that, when each seat in the train is booked using a hand­ker­chief well before it comes to a stop on its way in, 10 min­utes before it starts on it’s way back.

After that, came the work­ing years. Trav­el­ling to VT every day for work. 9:51 was my reg­u­lar fast train from Ghatkopar to VT. Avoid­ing watch­ing peo­ple from hut­ments defe­cat­ing along­side the train tracks was a reg­u­lar rou­tine to which I was very well accus­tomed to by then.

By this time, I was a proud “Mum­baiker”. After the 1993 blasts, I remem­ber get­ting goose-pimples and swelling in pride the next day when going to work, see­ing bill­boards that pro­claimed in huge let­ters: “Fri­day: Bomb blasts. Sat­ur­day: 93% atten­dance in Offices”.

Then, some­thing hap­pened. I was once trav­el­ing in a train stand­ing in the first door behind the driver’s end. I liked to watch the sur­round­ings go by from that “first per­son” point of view. Between Sion and Chem­bur, a girl, scream­ing, tried to jump in front of the train. Some­one pulled her back at the last instant. It is a mem­ory I will never forget.

On a dif­fer­ent day, some years later, I tried to board a fast train from Dadar for Ghatkopar. I could not get in, even in the “First Class”. I became des­per­ate, and decided to be adven­tur­ous. I climbed the win­dow, with my fin­gers on the rain chan­nel at the top of the car­riage. Yes, I trav­elled from Dadar to Ghatkopar, for about 30 min­utes, hold­ing on to dear life, while my fin­gers and hands were in excru­ci­at­ing pain, while the train was hurtling along at 85 kmph. An unfor­get­table experience.

And then on a usual day to work, I was wait­ing for my daily 9:51 at Ghatkopar. The train could be seen in the dis­tance, approach­ing the sta­tion, when it sud­denly stopped. Some­one sui­ci­dal jumped ahead of it and was killed. So the train was delayed. Does any­one think about the life of Mumbai’s local train dri­vers? They face such sit­u­a­tions all the time. And when­ever it hap­pens, they’re not able to sleep at night.

My response? Like the innu­mer­able num­ber of other pas­sen­gers wait­ing for the train, my response was of irri­ta­tion and anger at get­ting delayed for work. I was not con­cerned about the loss of human life, my only con­cern was about get­ting delayed to work. My dehu­man­iza­tion was com­plete. When I later thought about it, I decided that I needed to leave Mum­bai. I did and have never regret­ted it. I am a human again, and value human life the way I wasn’t able to, when I lived in Mumbai.