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Max Mathews

Max Mathews is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Max Mathews rather than just read about it. In short: Max Vernon Mathews (November 13, 1926 – April 21, 2011) was an American pioneer of computer music. Biography Max Vernon Mathews was born on November 13, 1926, in Columbus, Nebraska, to two science schoolteachers.

Max Mathews — main illustration
Max Mathews — illustration

Key takeaways

  • Max Mathews belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Max Mathews to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Max Mathews from memory before moving on to harder problems.

Reference excerpt

Max Vernon Mathews (November 13, 1926 – April 21, 2011) was an American pioneer of computer music.

Biography Max Vernon Mathews was born on November 13, 1926, in Columbus, Nebraska, to two science schoolteachers. He attended, but did not graduate from, Peru High School in Peru, Nebraska, where his parents taught and his father was also the principal. His father allowed him to play and work in the school's science laboratories from a young age. After a period as a radar repairman in the United States Navy, where he fell in love with electronics, Mathews studied electrical engineering at the California Institute of Technology and the Massachusetts Institute of Technology, receiving a Doctor of Science in 1954. In 1957, while working at Bell Labs in New Jersey, Mathews wrote MUSIC, the first widely used computer program for music generation. For the rest of the century, he continued as a leader in digital audio research, synthesis, and human-computer interaction as it pertains to music performance. In 1968, Mathews and L. Rosler developed Graphic 1, an interactive graphical sound system on which one could draw figures using a light pen that would be converted into sound. In 1970, Mathews and F. R. Moore developed GROOVE (Generated Real-time Output Operations on Voltage-controlled Equipment), a computer-controlled system for interactive algorithmic composition and realtime performance, using 3C/Honeywell DDP-24 (or DDP-224) minicomputers to control an analog synthesizer. GROOVE used a cathode ray tube display to simplify the management of music synthesis in realtime, 12-bit digital-to-analog conversion, an interface for analog devices, and controllers including a musical keyboard, knobs, and rotating joysticks to capture realtime performance. Composer Laurie Spiegel worked extensively with GROOVE in the mid-late 1970s. Although MUSIC was not the first program to generate sound with a computer (the CSIRAC computer developed by CSIRO in Australia played tunes as early as 1951), Mathews' work proved most influential on subsequent generations of digital music tools. He described his work in the following excerpt from "Horizons in Computer Music", March 8–9, 1997, Indiana University:

Computer performance of music was born in 1957 when an IBM 704 in NYC played a 17 second composition on the Music I program which I wrote. The timbres and notes were not inspiring, but the technical breakthrough is still reverberating. Music I led me to Music II through V. A host of others wrote Music 10, Music 360, Music 15, Csound and Cmix. Many exciting pieces are now performed digitally. The IBM 704 and its siblings were strictly studio machines – they were far too slow to synthesize music in real-time. Chowning's FM algorithms and the advent of fast, inexpensive, digital chips made real-time possible, and equally important, made it affordable. Starting with the GROOVE program in 1970, my interests have focused on live performance and what a computer can do to aid a performer. I made a controller, the Radio-Baton, plus a program, the Conductor program, to provide new ways for interpreting and performing traditional scores. In addition to contemporary composers, these proved attractive to soloists as a way of playing orchestral accompaniments. Singers often prefer to play their own accompaniments. Recently I have added improvisational options which make it easy to write compositional algorithms. These can involve precomposed sequences, random functions, and live performance gestures. The algorithms are written in the C language. We have taught a course in this area to Stanford undergraduates for two years. To our happy surprise, the students liked learning and using C. Primarily I believe it gives them a feeling of complete power to command the computer to do anything it is capable of doing.

In 1961, Mathews arranged the accompaniment of the song "Daisy Bell" for a performance by computer-synthesized human voice, using technology developed by John Kelly, Carol Lochbaum, Joan Miller, and Lou Gerstman of Bell Labs. Science fiction writer Arthur C. Clarke, who was visiting his friend and colleague John Pierce at Bell Labs' Murray Hill, New Jersey, facility at the time, was so impressed that he later told director Stanley Kubrick to use it in 2001: A Space Odyssey, in the climactic scene where the HAL 9000 computer is disabled. Mathews directed the Acoustical and Behavioral Research Center at Bell Labs from 1962 to 1985, which carried out research in speech communication, visual communication, human memory and learning, programmed instruction, analysis of subjective opinions, physical acoustics, and industrial robotics. From 1974 to 1980 he was the Scientific Advisor to the IRCAM musical research institute in Paris, and from 1987 was Professor of Music (Research) at Stanford University. He served as the Master of Ceremonies for the inaugural conference of New Interfaces for Musical Expression (NIME) in 2001. Mathews was a member of the National Academy of Sciences, the National Academy of Engineering and a fellow in the American Academy of Arts and Sciences, the Acoustical Society of America, the Institute of Electrical and Electronics Engineers, and the Audio Engineering Society. He received a Silver Medal from the Acoustical Society of America, and the Ordre des Arts et des Lettres from the French Ministry of Culture. Max, a visual programming language for music originally developed by Miller Puckette at IRCAM, is named for Mathews. Mathews died on the morning of April 21, 2011, in San Francisco, California, of complications from pneumonia, aged 84. He was survived by his wife Marjorie, three sons, and six grandchildren.

See also Algorithmic composition Graphical sound Qwartz Electronic Music Awards

References

External links

the GROOVE System on '120 Years Of Electronic Music' The Digital Computer as a Musical Instrument; Science, Vol. 142, Iss. 3592, pp. 553–557 1963–11 Max Mathews at cSounds.com Max Mathews received the Qwartz d'Honneur – 2008 Max Matthews 1926–2011 on Stretta blog Max Mathews 1926–2011 by Geeta Dayal, Frieze Magazine, May 9, 2011 Max Mathews, Computer Music Pioneer, R.I.P. Max Mathews interview in Computer Music Journal by Tae Hong Park The GROOVE System Max Mathews Interview at NAMM Oral History Collection March 29, 2007

Illustrations

Max Mathews: Max Mathews on his 80th birthday
Max Mathews on his 80th birthday
Max Mathews: Max Mathews playing an electric violin he built in his analog electronics lab at Bell Labs (c. 1970)
Max Mathews playing an electric violin he built in his analog electronics lab at Bell Labs (c. 1970)

Worked examples

Example 1 — a first encounter with Max Mathews

Start with the simplest possible case. Write down what Max Mathews claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Max Mathews before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Max Mathews ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Max Mathews

In research
Max Mathews appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Max Mathews in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Max Mathews is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1926 births, 2011 deaths, American electrical engineers, so understanding it makes those chapters shorter.
In everyday life
Look for Max Mathews outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Max Mathews in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Max Mathews means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Max Mathews out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Max Mathews in simple terms?

Max Vernon Mathews (November 13, 1926 – April 21, 2011) was an American pioneer of computer music. Biography Max Vernon Mathews was born on November 13, 1926, in Columbus, Nebraska, to two science schoolteachers.

Why does Max Mathews matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Max Mathews?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Max Mathews.

Tags

  • 1926 births
  • 2011 deaths
  • American electrical engineers
  • California Institute of Technology alumni
  • Chevaliers of the Ordre des Arts et des Lettres
  • Fellows of the IEEE
  • Members of the United States National Academy of Engineering
  • Members of the United States National Academy of Sciences
  • People from Columbus, Nebraska
  • Scientists at Bell Labs

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