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Sonido 13

Sonido 13 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 Sonido 13 rather than just read about it. In short: Sonido 13 is a theory of microtonal music created by the Mexican composer Julián Carrillo around 1900 and described by Nicolas Slonimsky as "the field of sounds smaller than the twelve semitones of the tempered scale." Carrillo developed this theory in 1895 while he was experimenting with his violin. Though he became internationally recognized for his system of notation, it was never widely applied.

Key takeaways

  • Sonido 13 belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Sonido 13 to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Sonido 13 from memory before moving on to harder problems.

Reference excerpt

Sonido 13 is a theory of microtonal music created by the Mexican composer Julián Carrillo around 1900 and described by Nicolas Slonimsky as "the field of sounds smaller than the twelve semitones of the tempered scale." Carrillo developed this theory in 1895 while he was experimenting with his violin. Though he became internationally recognized for his system of notation, it was never widely applied. His first composition in demonstration of his theories was Preludio a Colón (1922). The Western musical convention up to this day divides an octave into twelve different pitches that can be arranged or tempered in different intervals. Carrillo termed his new system Sonido 13, which is Spanish for "Thirteenth Sound" or Sound 13, because it enabled musicians to go beyond the twelve notes that comprise an octave in conventional Western music. Julián Carrillo wrote: "The thirteenth sound will be the beginning of the end and the point of departure of a new musical generation which will transform everything."

History

Early life

Carrillo attended the National Conservatory of Music in Mexico City, where he studied violin, composition, physics, acoustics, and mathematics. The laws that define music intervals instantly amazed Carrillo, which led him to conduct experiments on his violin. He began analyzing the way the pitch of a string changed depending on the finger position, concluding that there had to be a way to split the string into an infinite number of parts. One day, Carrillo was able to divide the fourth string of his violin with a razor into 16 parts in the interval between the notes G and A, thus creating 16 unique sounds. This event was the beginning of Sonido 13 that led Carrillo to study more about physics and the nature of intervals.

Professional life Carrillo became an excellent musician at the Conservatory and received a scholarship to study at the Leipzig Royal Conservatory. After Carrillo returned to Mexico in 1918, he became conductor of the National Symphony Orchestra and in 1920 he also became principal of the National Conservatory of Music. It was during this time that he began to invest a significant amount of time on Sonido 13. His achievements in this area were extensive and consisted of writing over 20 books, making more than 40 compositions, patenting fifteen pianos capable of producing small intervals, and organizing the Sonido 13 Symphonic Orchestra that performed in different parts of the world, playing microtonal music composed by Carrillo in different intervals. In 1933, Ahualulco, the town where Carrillo was born, was renamed to Ahualulco del Sonido 13 in honor of Carrillo's work. Carrillo was, "closely associated with the Díaz regime," and preferred neo-classicism to nationalism.

References

Further reading Carrillo, Julián (1930). Rectificación Básica al Sistema Musical Clásico (in Spanish) (2nd ed.). Editorial del Sonido 13. — (1945). 3 Conferencias (in Spanish) (3rd ed.). Editorial del Sonido 13. — (1948). Sonido 13 (in Spanish). Editorial del Sonido 13. — (1957). El Infinito en las Escalas y en los Acordes (in Spanish). Editorial del Sonido 13. Madrid, Alejandro L. (2015). In Search of Julián Carrillo and Sonido 13. Oxford University Press. Mena, María Cristina (1914). "Julian Carrillo: The Herald of a Musical Monroe Doctrine", The Century Illustrated Monthly Magazine, vol. 89. Josiah Gilbert Holland and Richard Watson Gilder, eds. Digitized 2008. Winkler, Ernesto S. (2006-06-07). "Julián Carrillo y el Sonido 13: Un Sistema Microtonal/Julian Carrillo and the 13th Sound: a microtonal musical system" (in Spanish). Archived from the original on 2006-09-01. Retrieved 2006-09-20.

External links "Julián Carrillo y el Sonido 13". sonido13.com (in Spanish). January 2010. Retrieved 2022-12-27. "Julián Carrillo y el Sonido 13". sonido13.tripod.com (in Spanish). April 2006. Retrieved 2022-12-27.

Worked examples

Example 1 — a first encounter with Sonido 13

Start with the simplest possible case. Write down what Sonido 13 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 Sonido 13 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 Sonido 13 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 Sonido 13

In research
Sonido 13 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 Sonido 13 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
Sonido 13 is common in secondary-school and first-year university syllabi. It links to neighbouring topics Equal temperaments, Mexican inventions, Microtonality, so understanding it makes those chapters shorter.
In everyday life
Look for Sonido 13 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 Sonido 13 in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Sonido 13 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 Sonido 13 out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Sonido 13 in simple terms?

Sonido 13 is a theory of microtonal music created by the Mexican composer Julián Carrillo around 1900 and described by Nicolas Slonimsky as "the field of sounds smaller than the twelve semitones of the tempered scale." Carrillo developed this theory in 1895 while he was experimenting with his violi…

Why does Sonido 13 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 Sonido 13?

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 Sonido 13.

Tags

  • Equal temperaments
  • Mexican inventions
  • Microtonality
  • Musical notation

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