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Temperament ordinaire

Temperament ordinaire 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 Temperament ordinaire rather than just read about it. In short: The phrase temperament ordinaire (French tempérament ordinaire, meaning literally "ordinary temperament" or "usual temperament") is a term for musical intonation, particularly the tempered tuning of keyboard instruments. In modern usage, it usually refers to temperaments falling within the range (as understood broadly) of tunings now known as "well-tempered".

Temperament ordinaire — main illustration
Temperament ordinaire — illustration

Key takeaways

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

Reference excerpt

The phrase temperament ordinaire (French tempérament ordinaire, meaning literally "ordinary temperament" or "usual temperament") is a term for musical intonation, particularly the tempered tuning of keyboard instruments. In modern usage, it usually refers to temperaments falling within the range (as understood broadly) of tunings now known as "well-tempered". The expression occurs primarily in French-language works of the 17th and 18th centuries concerning theory and practice of musical intonation with regard to keyboard instruments. It is discussed again, in the same or a similar musical application, in modern literature concerned with historical practices relating to keyboard instruments and performance.

17th-century use and application One of the early historical documents in which the phrase was used is Christiaan Huygens' Lettre touchant le cycle harmonique, ("Letter concerning the harmonic cycle") of 1691. This refers several times, in a comparative way, to "temperament ordinaire". The main purpose of Huygens' letter was to describe and discuss an unconventional 31-fold division of the octave. He did this by first recapitulating a conventional known temperament of his time, and then he compared that with his new scheme (which actually had been approximately conceived before, albeit without Huygens' mathematical precision); and he discussed the differences. Huygens' description of the conventional arrangement was quite precise, and it is clearly identifiable with what is now classified as (quarter-comma) meantone temperament. Huygens referred to this conventional arrangement, variously, in the course of his comparisons, as "the Temperament that I have just explained", "the Temperament", "the ordinary Temperament" (French: temperament ordinaire), "the Ordinary Temperament" (with both words capitalized), and then by mentioning "the new Temperament" as contrasted with "the one that everyone uses". Accordingly, it does appear that for Huygens in 1691, temperament ordinaire was a phrase denoting just the temperament in ordinary use, with no sign that he was using this expression as a proper or conventional name or label. It appears from his description that Huygens believed that the ordinary tuning method then in common use was (quarter-comma) meantone temperament.

18th century The term was later used in the Encyclopédie of Diderot and D'Alembert, published in Paris in 1751–1772, which contains an article on temperament written by Jean-Jacques Rousseau. The article discusses the contrasting merits of equal temperament and of an arrangement referred to as "temperament ordinaire", "temperament" (without qualifier), and also as "the common rule of temperament", and gives practical instructions how to tune a keyboard to this temperament. In regard to the use of the expressions denoting the temperament in this article, it is noticeable that while all occurrences of the word temperament in the original article stand italicized, the accompanying words, including ordinaire, never are. That seems to show that Rousseau was using the phrase just to denote descriptively what he regarded as usual, rather than as a proper name or conventional designatory label. As for the nature and identity of the temperament that Rousseau called the common one, the content of the article (see instructions reproduced below) leaves it clear that it was a circulating temperament, rather than the quarter-comma meantone referred to by Huygens about 60 years previously. It is relevant to reproduce here the actual instructions from the Encyclopedie (in translation) for tuning to "the common rule of temperament", so as to leave it clear where they are specific, and where they are vague:

… excerpt ends here. Continue reading the full article.

Worked examples

Example 1 — a first encounter with Temperament ordinaire

Start with the simplest possible case. Write down what Temperament ordinaire 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 Temperament ordinaire 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 Temperament ordinaire 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 Temperament ordinaire

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

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

Frequently asked questions

What is Temperament ordinaire in simple terms?

The phrase temperament ordinaire (French tempérament ordinaire, meaning literally "ordinary temperament" or "usual temperament") is a term for musical intonation, particularly the tempered tuning of keyboard instruments. In modern usage, it usually refers to temperaments falling within the range (a…

Why does Temperament ordinaire 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 Temperament ordinaire?

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 Temperament ordinaire.

Tags

  • Musical temperaments

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