f(x)=sin^2 x-1/x

Symphony Orchestra

Gabriella Smith

About

When I think about music (my own and others’), I often first think about it in terms of the overall arc and shape of the piece. I picture it as a curve that moves horizontally from left to right as time progresses and moves up and down as the energy and dynamic content of the music changes. You can describe any of these curves as a mathematical function. This way of thinking about the shape of music is independent of the normal way we think about form in music, which typically involves the recurrence of themes. So you can think of any piece of music this way regardless of whether it’s a sonata or a pop song or a work without any codified form-it’s fun, try picturing a curve as you listen to music. The energy and dynamic contour of this work look roughly like the following curve:

Mathematically, if you’re into that sort of thing, the curve follows a section of the function f(x) = sin^2 x-1/x (on the interval x = -2π to x = 0) where the horizontal axis, x, represents time and the vertical axis, f(x), indicates the energy and dynamic content of the piece. In practical terms, this means the music begins quietly and builds up to a small climax, decays, and then builds again and continues to build to the end of the piece.

The function serves as an overall map for the piece, but the individual musical ideas were intuitively generated. The title f(x) = sin^2 x-1/x describes the form of the piece, in the same way that composers of the past titled pieces sonata or rondo in reference to their form. So while the inspiration for this work comes from a mathematical function, you don’t need to remember your high school math to experience and enjoy it!

Performance

Gabriella Smith f(x)=sin^2 x-1/x
  Duration
05:00
  Commissioning Year
2019
  Premiere
September 28, 2019
Music Hall, Cincinnati, OH
  Recording Excerpt
February 5, 2020
Virginia Tech, Blacksburg, VA

Artists

  • Gabriella Smith Composition

    Gabriella Smith is a composer whose work invites listeners to find joy in climate action. Her music comes from a love of play, exploring new instrumental sounds, and creating musical arcs that transport audiences into sonic landscapes inspired by the natural world. An “outright sensation” (LA Times), her music “exudes inventiveness with a welcoming personality, rousing energy and torrents of joy” (NY Times).

    Lost Coast, a concerto for cello and orchestra, written for her longtime collaborator Gabriel Cabezas, received its world premiere in May 2023 with the Los Angeles Philharmonic conducted by Gustavo Dudamel. This work joins her organ concerto, Breathing Forests, written for James McVinnie also premiered by the LA Phil, conducted by Esa-Pekka Salonen. Other current projects include a large-scale work for Kronos Quartet, commissioned in celebration of their 50th anniversary season, and an album-length work for yMusic featuring underwater field recordings. In December 2023, her work Tumblebird Contrails was performed on the Nobel Prize Concert by the Royal Stockholm Philharmonic Orchestra, conducted by Esa-Pekka Salonen.

    Her first full-length album, titled Lost Coast, was recorded with Gabriel Cabezas and producer Nadia Sirota at Greenhouse Studios in Iceland and named one of NPR Music’s “26 Favorite Albums Of 2021” and a “Classical Album to Hear Right Now” by The New York Times. Gabriel and Gabriella, as a cello-violin-voice-electronics duo, have performed together around the world, including in Reykjavík, New York City, and Paris.

    Gabriella grew up in the San Francisco Bay Area playing and writing music, hiking, backpacking, and volunteering on a songbird research project.

  • Curtis Symphony Orchestra

    Comprised of outstanding talent and unmatched enthusiasm for musical collaboration, Curtis Symphony Orchestra stands as a cornerstone of the Curtis Institute of Music experience and a vital component of Philadelphia’s vibrant cultural scene. For 100 years, our exceptional students have sharpened their skills and broadened their musical horizons, as they prepare for professional careers with the world’s foremost orchestras and chamber ensembles.

  • Osmo Vänskä Conductor

    Performances of Mahler’s Symphony No.8 with Minnesota Orchestra in June 2022 provided a fitting culmination for Vänskä’s tenure as Music Director. Together they undertook five major European tours, as well as an historic trip to Cuba in 2015 – the first visit by an American orchestra since the two countries re-established diplomatic relations. They also made a ground-breaking tour to South Africa in 2018 as part of worldwide celebrations of Nelson Mandela’s Centenary – furthermore the first visit by an American orchestra — drawing together South African and American performers in musical expressions of peace, freedom, and reconciliation on a five-city tour. Vanska and Minnesota Orchestra also made an acclaimed return to the BBC Proms in Summer 2018.

    This season he will conduct the symphony orchestras of Montreal, Gurzenich, Pittsburgh, San Diego, Philharmonia, Tokyo, Antwerp and Bergen Philharmonic. Vänskä will also return to his long-time partners- Minnesota Orchestra, Iceland and Lahti Symphony Orchestra.

    Vänskä continues to develop a visiting and touring relationship with Curtis Symphony Orchestra, leading conducting seminars as well as tours in Europe, the US and Asia.

    A distinguished recording artist for the BIS label, Vänskä has recorded all of Mahler’s symphonies with Minnesota Orchestra. The Fifth Symphony received a Grammy nomination in 2017 for Best Orchestral Performance. Vänskä and Minnesota Orchestra have also recorded the complete symphonies of Beethoven and Sibelius to critical acclaim, winning a Grammy Award for Best Orchestral Performance in 2014 as well as being nominated on several occasions. In 2021 they were voted Gramophone’s Orchestra of the Year.

    Vänskä studied conducting at Finland’s Sibelius Academy and was awarded first prize in the 1982 Besançon Competition. He began his career as a clarinetist, occupying the co-principal chair of Helsinki Philharmonic Orchestra. He regularly performs chamber music, having been invited to La Jolla Summerfest, Seattle Chamber Music Festival, Naantali Summer Festival, Sysmä Summer Sounds and Music in Ruovesi, amoungst many others. He has recorded Bernhard Henrik Crusell’s three Clarinet Quartets and Kalevi Aho’s Clarinet Quintet for the BIS label and is in the process of recording several duos for clarinet and violin which he has commissioned with his wife, violinist Erin Keefe.

    Vänskä is the recipient of a Royal Philharmonic Society Award, the Finlandia Foundation’s Arts and Letters award, and the 2010 Ditson Award from Columbia University and the Pro Finlandia medal awarded to him by the State of Finland. He holds honorary doctorates from the Curtis Institute of Music, and the universities of Glasgow and Minnesota, and was named Musical America’s 2005 Conductor of the Year. In 2013 he received the Annual Award from the German Record Critics’ Award Association for his involvement in BIS’s recordings of the complete works by Sibelius.

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