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Scientific pitch

Scientific pitch is a science 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 Scientific pitch rather than just read about it. In short: Scientific pitch, also known as philosophical pitch, Sauveur pitch or Verdi tuning, is an absolute concert pitch standard which is based on middle C (C4) being set to 256 Hz rather than ~261.63 Hz, making it ~37.63 cents lower than the common A440 pitch standard. It was first proposed in 1713 by French physicist Joseph Sauveur, promoted briefly by Italian composer Giuseppe Verdi in the 19th century, then advocated b…

Scientific pitch — main illustration
Scientific pitch — illustration

Key takeaways

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

Reference excerpt

Scientific pitch, also known as philosophical pitch, Sauveur pitch or Verdi tuning, is an absolute concert pitch standard which is based on middle C (C4) being set to 256 Hz rather than ~261.63 Hz, making it ~37.63 cents lower than the common A440 pitch standard. It was first proposed in 1713 by French physicist Joseph Sauveur, promoted briefly by Italian composer Giuseppe Verdi in the 19th century, then advocated by the Schiller Institute beginning in the 1980s with reference to the composer, but naming a pitch slightly higher at 432 Hz for A, and making controversial claims regarding the effects of this pitch. Scientific pitch is not used by concert orchestras but is still sometimes favored in scientific writings for the convenience of all the octaves of C being an exact power of 2 when expressed in hertz (symbol Hz). The octaves of C remain a whole number in hertz all the way down to 1 Hz. Instead of A above middle C (A4) being set to the widely used standard of 440 Hz, scientific pitch assigns it a frequency of 430.54 Hz. There is no scientific evidence that music tuned to 432 Hz has healing benefits.

History

Concert tuning pitches tended to vary from group to group, and by the 17th century the pitches had been generally creeping upward (i.e., becoming "sharper"). The French acoustic physicist Joseph Sauveur, a non-musician, researched musical pitches and determined their frequencies. He found several frequency values for A4 as presented to him by musicians and their instruments, with A4 ranging from 405 to 421 Hz. Other contemporary researchers such as Christiaan Huygens, Vittorio Francesco Stancari and Brook Taylor were finding similar and lower values for A4, as low as 383 Hz. In 1701, Sauveur proposed that all musical pitches should be based on a son fixe (fixed sound), that is, one unspecified note set to 100 Hz, from which all others would be derived. In 1713, Sauveur changed his proposal to one based on C4 set to 256 Hz; this was later called "philosophical pitch" or "Sauveur pitch". Sauveur's push to standardize a concert pitch was strongly resisted by the musicians with whom he was working, and the proposed standard was not adopted. The notion was revived periodically, including by mathematician Sir John Herschel and composer John Pyke Hullah in the mid-19th century, but never established as a standard. In the 19th century, Italian composer Giuseppe Verdi tried to stop the increase in the pitch to which orchestras were tuned. In 1874 he wrote his Requiem using the official French standard diapason normal pitch of A4 tuned to 435 Hz. Later, he indicated that 432 Hz would be slightly better for orchestras. One solution he proposed was scientific pitch, but he had little success. In 1988, Lyndon LaRouche's Schiller Institute initiated a campaign to establish scientific pitch as the classical music concert pitch standard. The Institute called this pitch "Verdi tuning" because of the connection to the famous composer. Even though Verdi tuning uses 432 Hz for A4 and not 430.54, it is said by the Schiller Institute to be derived from the same mathematical basis: 256 Hz for middle C. The Institute's arguments for the notation included points about historical accuracy and references to Johannes Kepler's treatise on the movement of planetary masses. The Schiller Institute initiative was opposed by opera singer Stefan Zucker. According to Zucker, the Institute offered a bill in Italy to impose scientific notation on state-sponsored musicians that included provisions for fines and confiscation of all other tuning forks. Zucker has written that he believes the Schiller Institute's claims about Verdi tuning are historically inaccurate. Institute followers are reported by Tim Page of Newsday to have stood outside concert halls with petitions to ban the music of Antonio Vivaldi and even to have disrupted a concert conducted by Leonard Slatkin in order to pass out pamphlets titled "Leonard Slatkin Serves Satan".

See also History of pitch standards in Western music

Notes

References

Worked examples

Example 1 — a first encounter with Scientific pitch

Start with the simplest possible case. Write down what Scientific pitch claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, 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 Scientific pitch 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 Scientific pitch 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 Scientific pitch

In research
Scientific pitch appears in science 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 Scientific pitch 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
Scientific pitch is common in secondary-school and first-year university syllabi. It links to neighbouring topics Musical tuning, so understanding it makes those chapters shorter.
In everyday life
Look for Scientific pitch 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 Scientific pitch in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Scientific pitch 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 Scientific pitch out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Scientific pitch in simple terms?

Scientific pitch, also known as philosophical pitch, Sauveur pitch or Verdi tuning, is an absolute concert pitch standard which is based on middle C (C4) being set to 256 Hz rather than ~261.63 Hz, making it ~37.63 cents lower than the common A440 pitch standard. It was first proposed in 1713 by Fr…

Why does Scientific pitch matter?

Because it connects several science 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 Scientific pitch?

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 Scientific pitch.

Tags

  • Musical tuning

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