Picture a seven-foot grand piano in a studio. The lid’s missing, so you can see all the strings. Researchers suspend a rod embedded with 32 microphones over the piano’s body.
“We played this middle C at a very soft level, a medium level, and a very loud level,” says Agnieszka Roginska, a professor in NYU’s music technology program. She says using a pianist to play middle C over and over wouldn’t be scientific. So they’re using a disklavier, a fancy player piano triggered by electronics. “So we could hit the same note, with the same velocity, thousands of times,” she says.
They’d record the piano in one spot. Then move the microphones eight inches. Record the note. Move the mics again. Record the note. Over and over and over, until they reach the back of the piano. At the end, they get “what is basically a very dense acoustical scan of the radiation pattern of the grand piano,” Roginska says.
Life very often throws some curious coincidences my way. Just as I was preparing a presentation for architecture students at the Goa College of Architecture on ‘Architecture and Music’ and looking at the relationship of the Fibonacci sequence to music, what should appear in my newsfeed but the announcement of the famed piano firm Steinway and Sons unveiling its 600,000th piano, incorporating the iconic Fibonacci spiral in its design.
The veneer of the “Fibonacci” piano features the eponymous spiral made from six individual logs of Macassar Ebony, “creating a fluid design that represents the geometric harmony found in nature.”
In the words of designer Frank Pollaro, who spent over 6000 work-hours over four years in its creation: “Designing Steinway & Sons’ 600,000th piano was an honour and a challenge. To me, knowing that this piano would become part of history meant that it had to be more than just a beautiful design, but also needed to visually convey a deeper message…as I considered the number 600,000, the Fibonacci spiral came to mind. The way in which it continues to grow but stay true to its form is very much like Steinway and Sons over these many years. Combining the universal languages of music and mathematics suddenly made perfect sense.”
Mind you, 600,000 is not a number in the Fibonacci sequence; I checked. 600,000 is between the 29th and 30th numbers in the Fibonacci series, which are 514,229 and 832,040 respectively. But Pollaro was nevertheless highlighting an interesting relationship between music and mathematics.
Named after the Italian mathematician Leonardo Fibonacci (c. 1170- c. 1250) who brought the Indian-Arabic numeral system to Europe, the Fibonacci series appear in nature and in music, and finds application in architecture and in instrument design, much before the Fibonacci Steinway.
The basic ideas of the Fibonacci progression are contained in the writings of Indian scholar Pingala (300-200 BC) in his treatise on Sanskrit prosody.
The Fibonacci numbers have the following integer sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 and onward. Each added number is the sum of two previous numbers before it.
In nature, the Fibonacci sequence underpins phyllotaxis (arrangement of leaves on a stem), branching in trees, fruit sprouts of a pineapple among many other examples, and even the shape of the human external ear, and the cochlear apparatus of the inner ear.
It can be applied to the western musical scale as well, with the caveat that the starting note one makes the measurement from (or the ‘root’ note) is designated as 1 and not 0. By this token, there are 13 notes in a scale through its octave. There are 8 notes in a diatonic scale (hence the top note is called an ‘oct’ave). The 5th and 3rd notes create the basic foundation of musical chords. All these are Fibonacci numbers.
The very notes in the scale are based on natural harmonics created by ratios of frequencies. Ratios found in the first seven numbers of the Fibonacci series (0, 1, 1, 2, 3, 5, 8) are related to key frequencies of musical notes. Thus if we take an arbitrary frequency of 440 Hz, the root note has a ratio of 1/1, but the octave above it has a frequency of 880 Hz (2/1 of 440); a fifth above has a frequency of 660 Hz (3/2 of 440), and so on for other notes in the scale.
In last Sunday’s article, I had mentioned the ‘golden proportion’ or phi, which underpins the proportions of the Parthenon temple in the Acropolis in Athens, Greece. This ‘golden ratio’ (also called the ‘golden section’, ‘golden mean’ or the ‘divine proportion’) of 1:1618 or 0.618 has influenced composition in painting and photography, prompting the notion of dividing a canvas into thirds vertically and horizontally, and to position a subject of interest ‘about one-third’ of the way across instead of in the centre.
This ‘golden ratio’ can be obtained by dividing a Fibonacci number (in the higher reaches, not the first few) by its immediate predecessor. The quotient approximates phi (φ). Thus 987/610= 1.61803, and its inverse is 0.618.
The climax or high point of many songs and other compositions is often found at the ‘phi’ (φ) point (61.8 per cent) of the work. We have seen this to be true in the first movement of
S. Bach’s G minor sonata for solo violin.
In many compositions in sonata form, the addition of a coda causes the recapitulation (the return of the original idea that started the work) to begin at the 61.8 per cent point.
The legendary violin maker Antonio Stradivari seemed to be aware of the ‘golden section’ and used it in the placement of the f-holes on his violins. The proportions of the violin conform to the ratios of ‘phi’ (φ). The spiral of a violin scroll also obeys the Fibonacci progression.
Isn’t it amazing, how the visual and aural world, indeed nature itself can all be unified by the same mathematical sequence?[NT]
The Piano Puzzlers book is available in the O’Connor Music Studio library if you’d like to give any a try. Piano Puzzlers as heard on American Public Media’s “Performance Today.” Includes 32 tunes with songs by Gershwin, Berlin, Arlen, Porter, Rodgers, Fats Waller, Lennon & McCartney, and others disguised in the styles of Bach, Handel, Haydn, Mozart, Beethoven, Brahms, Schubert, Schumann, Chopin, Janacek, Debussy, Ravel, Rachmaninoff, Stravinsky, Prokofiev, Bartok, and Copland.
Includes an introduction by Fred Child, host of “Performance Today” as well as background info by Bruce Adolphe. “Bruce Adolphe has taken a common musician’s party game and elevated it to high art and truly funny musical slapsticks. The Piano Puzzlers are a unique combination of extraordinary insight into the styles of many composers subtle, expert workmanship and great, great fun!”
If you’re a music geek (like me), I have a program for you. Now, let me be clear, to fully qualify as a music geek…you must have a fond appreciation for classical music (no, Poison, Quiet Riot, and Zepplin do not count as classical music). So, if you’re a “music geek” without an appreciation for classical music…well, I hate to burst your bubble…but, you’re not truly a music geek. Instead, you’re a music appreciator, but not a geek. So, if you just listen to indie music and scowl at anything on a label larger than Matador…don’t bother following the link I’ll provide…the fun will be lost on you…And, you probably won’t have a chance.
Every Wednesday night, on my way home from WNL, I turn on my local NPR station to listen to Piano Puzzlers on Performance Today. It’s absolutely incredible. A pianist/composer (Bruce Adolphe) takes a familiar folk or pop tune and sets it inside a classical masterpiece (or in the style of a particular composer). Sometimes it’s easy…sometimes it’s ridiculously difficult. There are days when I say, “got it” on the first pass. Then there are days when I say, “what the heck?” And, more often than not, I’m able to get either the popular/folk tune or the composer.
This is sad to admit, but there are nights when I’ll slow down on the drive home or sit in the car in the driveway to finish an episode. In fact, I get a little worked up if someone stops me after WNL…as I might miss the beginning of Piano Puzzlers (it usually hits around 8:20pm on our local station).
Take a listen to some of the archives and see if you can figure it out! It’s really cool…but probably only appreciated by music geeks (the kind of people that listen to NPR for their musical programs and not just the snipets of cool indie rock between segments on All Things Considered…which is a great show too).
Many homeowners don’t realize that there are movers available to them who specialize in the transportation and storage of pianos. A piano is a delicate instrument and not something you want to take risks with. By trusting this major job to a piano mover, you can rest easy knowing that one of the most valuable items in your home is being transported with the care it deserves.
But It Weighs 1500 Pounds. How Delicate Can It Be?
This is exactly where many homeowners go wrong. Sure, that piano in your living room is heavy enough to throw out the backs of four or five of your best buddies as you wrestle it out the door and up into the truck, but don’t let that fool you. Despite its bulky appearance, it is also a precision musical instrument with over 1000 moving parts and 200 finely-tuned strings, any number of which can be damaged and require repair if your piano isn’t handled properly in a move.
Your Piano Mover Understands Pianos
These intricate inner workings of a piano are exactly why hiring an expert in piano moving is so important. These professionals understand pianos and moving them, from the safest way to lift and twist a standard upright piano to get it out the door, to how to properly disassemble a grand piano and transport it without causing any damage. And even more importantly, a piano mover understands that when your piano is delivered to your new home, you expect to be able to sit down and play it right away. It’s why many piano movers keep tuners and repairmen on staff, and why the rest will have a trusted list of professionals available on request if you need it.
Today’s Listening Assignment is Country Gardens by Percy Grainger.
“Country Gardens” is an English folk tune collected by Cecil Sharp from the playing of William Kimber and arranged for piano in 1918 by Percy Grainger.
The tune and the Grainger arrangement for piano and orchestra is a favorite with school orchestras, and other performances of the work include morris dancing.
A piano version:
Piano duet (four-hands)
Clarinet solo
Orchestra
The Ambrosian Children’s Choir
From the Muppets
And, how a Morris Dance is done:
Find Country Gardens on IMSLP, Piano Maestro (under the method book section) and Piano Pronto: Movement 2
Each year on May 22 we observe National Buy a Musical Instrument Day. The day is all about playing music. If you are a musician, it might be time for a new instrument. Maybe you can learn to play a second or third one. If you have never played an instrument before, National Buy A Musical Instrument Day might be the motivation you need to start.
Naturally, here at the O’Connor Music Studio, a piano, keyboard with weighted keys (and 88 of them!) or organ is recommended but this day is for all types of instruments and is for people of all ages. Grandpa can play his ukulele while the grandkids play the drums, trombone, and flute. Together they can all make terrific music!
• 1655 ~ Bartolomeo Cristofori, Italian instrument maker, inventor of the piano. He was credited with designing the first pianoforte, which he called “the harpsichord that plays soft and loud”.
More information about Cristofori
• 1886 ~ The first practical phonograph, better known as the gramophone, was patented.
• 1920 ~ The Symphony Society of New York presented a concert at the Paris Opera House. It was the first American orchestra to make a European tour.
• 1928 ~ Maynard Ferguson, Canadian jazz trumpeter and bandleader
• 1930 ~ Roberta Peters (Peterman), American soprano, Metropolitan Opera, Jewish Cultural Achievement Awards in Performing Arts in 1997.
• 1931 ~ Ed Cassidy, Drummer
• 1945 ~ June Christy sang with the Stan Kenton band on one of the most famous of all big band hits, Tampico.
• 1951 ~ Jackie (Sigmund) Jackson, Singer with The Jackson Five
• 1956 ~ Gene Vincent and his group, The Blue Caps, recorded Be-Bop-A Lula for Capitol Records in Los Angeles. Interesting note: Vincent had written the tune only three days before he auditioned in a record company talent search that won him first place. The record was rush-released just two days later and became a rock and roll classic.
• 1959 ~ Randy Travis (Traywick), Singer
. 1979 ~ Lance Bass, member of American pop boy band NSYNC (Justin Timberlake, JC Chasez, Chris Kirkpatrick, Joey Fatone, and Lance Bass) who had hits from late nineties to early 2000’s including top hit Singles “Bye Bye Bye”, “This I Promise You”, “Girlfriend”, “Pop” and “It’s Gonna Be Me” NSYNC and has sold over 70 million records, becoming one of the best-selling boy bands in history.
• 1996 ~ Alanis Morissette started a six-week run at No.1 on the UK album chart with Jagged Little Pill. The record produced six successful singles, including ‘You Oughta Know’, ‘Ironic’, ‘You Learn’, ‘Hand in My Pocket’, and ‘Head over Feet’. Do you have a favorite track from the album?
When it comes to tuning, every piano is different, even two pianos of the same style and make are different, and the humidity of the room makes a big difference, he said.
High humidity causes the sound board to swell, stretching the strings and causing the pitch to go sharp, while low humidity has the opposite effect.
In Minnesota, humidity can easily range from 80 percent in the summertime to 10-15 percent in the winter, if the home doesn’t have a humidifier. Wood-heated homes tend to be especially dry, he said.
“Pianos like it between 40 and 50 percent humidity in the house,” he said.
Even places that are supposedly “climate-controlled,” aren’t always. The heat might get turned down substantially evenings and weekends, for example.
A new piano needs a few weeks to settle into its new home before tuning, Fry said.
“If they get a new piano, generally they call us the day before it gets in the house,” he said. “It should sit in the house a couple weeks just to acclimatize it to its new surroundings … brand new pianos stretch for a while. They go out of tune quicker. The wire stretches and they settle into themselves.”
Some people think they have to let a new, or recently moved older piano, sit six months or a year before it gets tuned. That’s not true, Fry said, but it does need a few weeks.
He recommends that pianos be tuned at least once a year (he tunes his own piano once a year, even though he no longer gives lessons) and the busiest time for him is before the holidays — September through December.
“Piano-tuning is something people can put off,” he said. “We noticed a real drop in tuning when gas got over $3 a gallon. I didn’t think it would make that much of a difference, but it did.”
Fry said he is looking for some kind of work to do in the summertime when his other businesses are slow.
He doesn’t give piano or guitar lessons anymore, but does enjoy tuning all types of pianos.
“It takes me a couple of hours. I have time,” Fry said. “I’m going to do the job that I like to do, and do it right.”
The Gershwin family donated the Steinway to the University as part of the George and Ira Gershwin initiative that is focused on research and study of the brothers’ music.
According to Marc Gershwin, George and Ira’s nephew, “I wanted the instrument to be accessible to the students and faculty who would be preserving the legacy of George and Ira Gershwin’s music… I’m delighted that the piano will once again be in regular use [by students and faculty], and am thrilled that it has been restored to performance condition.” [Two other Gershwin Steinways are in museums.]
From what I know of George he would have wanted it this way. Unlike some composers George was a gifted pianist. He had a rich social life and enjoyed playing his music for anyone who would listen.
There’s a lesson in that thought. If you have something valuable, sometimes it becomes more valuable – or at least more appreciated – when people can see it and use it. If you look at the piano as an instrument of technology that is it, then it makes sense that organizations give people access to technology – as well as resources – to do their work.
Founded in Manhattan in 1853, Steinway & Sons is widely considered to be one of the greatest piano makers in the world. Its grand pianos grace the world’s grandest stages and are played by the best pianists.
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