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Musical tuning

Musical tuning 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 Musical tuning rather than just read about it. In short: In music, there are two common meanings for tuning: Tuning practice, the act of tuning an instrument or voice. Tuning systems, the various systems of pitches used to tune an instrument, and their theoretical bases.

Musical tuning — main illustration
Musical tuning — illustration

Key takeaways

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

Reference excerpt

In music, there are two common meanings for tuning:

Tuning practice, the act of tuning an instrument or voice. Tuning systems, the various systems of pitches used to tune an instrument, and their theoretical bases.

Tuning practice

Tuning is the process of adjusting the pitch of one or many tones from musical instruments to establish typical intervals between these tones. Tuning is usually based on a fixed reference, such as A = 440 Hz. The term "out of tune" refers to a pitch/tone that is either too high (sharp) or too low (flat) in relation to a given reference pitch. While an instrument might be in tune relative to its own range of notes, it may not be considered 'in tune' if it does not match the chosen reference pitch. Some instruments become 'out of tune' with temperature, humidity, damage, or simply time, and must be readjusted or repaired. Different methods of sound production require different methods of adjustment:

Tuning to a pitch with one's voice is called matching pitch and is the most basic skill learned in ear training. Turning pegs to increase or decrease the tension on strings so as to control the pitch. Instruments such as the harp, piano, and harpsichord require a wrench to turn the tuning pegs, while others such as the violin can be tuned manually. Modifying the length or width of the tube of a wind instrument, brass instrument, pipe, bell, or similar instrument to adjust the pitch. In woodwind instruments, this is usually done by adjusting the instrument's mouthpiece or neck to change the pitch. In brass instruments, this is usually done by moving a tuning slide. The sounds of some instruments, notably unpitched percussion instrument such as cymbals, are of indeterminate pitch, and have irregular overtones not conforming to the harmonic series. See § Tuning of unpitched percussion instruments. Tuning may be done aurally by sounding two pitches and adjusting one of them to match or relate to the other. A tuning fork or electronic tuning device may be used as a reference pitch, though in ensemble rehearsals often a piano is used (as its pitch cannot be adjusted for each performance). Symphony orchestras and concert bands usually tune to an A440 or a B♭, respectively, provided by the principal oboist or clarinetist, who tune to the keyboard if part of the performance. When only strings are used, then the principal string (violinist) typically has sounded the tuning pitch, but some orchestras have used an electronic tone machine for tuning. Tuning can also be done through a prior recording; this method uses simultaneous audio. Interference beats are used to objectively measure the accuracy of tuning. As the two pitches approach a harmonic relationship, the frequency of beating decreases. When tuning a unison or octave it is desired to reduce the beating frequency until it cannot be detected. For other intervals, this is dependent on the tuning system being used. Harmonics may be used to facilitate tuning of strings that are not themselves tuned to the unison. For example, lightly touching the highest string of a cello at the middle (at a node) while bowing produces the same pitch as doing the same a third of the way down its second-highest string. The resulting unison is more easily and quickly judged than the quality of the perfect fifth between the fundamentals of the two strings.

Open strings

In music, the term open string refers to the fundamental note of the unstopped, full string. The strings of a guitar are normally tuned to fourths (excepting the G and B strings in standard tuning, which are tuned to a third), as are the strings of the bass guitar and double bass. Violin, viola, and cello strings are tuned to fifths. However, non-standard tunings (called scordatura) exist to change the sound of the instrument or create other playing options. To tune an instrument, often only one reference pitch is given. This reference is used to tune one string, to which the other strings are tuned in the desired intervals. On a guitar, often the lowest string is tuned to an E. From this, each successive string can be tuned by fingering the fifth fret of an already tuned string and comparing it with the next higher string played open. This works with the exception of the G string, which must be stopped at the fourth fret to sound B against the open B string above. Alternatively, each string can be tuned to its own reference tone.

Note that while the guitar and other modern stringed instruments with fixed frets are tuned in equal temperament, string instruments without frets, such as those of the violin family, are not. The violin, viola, and cello are tuned to beatless, just perfect fifths, and ensembles such as string quartets and orchestras tend to play in fifths based Pythagorean tuning or to compensate and play in equal temperament, such as when playing with other instruments such as the piano. For example, the cello, which is tuned down from A220, has three more strings (four total) and the just perfect fifth is about two cents off from the equal tempered perfect fifth, making its lowest string, C−, about six cents more flat than the equal tempered C. This table lists open strings on some common string instruments and their standard tunings from low to high unless otherwise noted.

Altered tunings

… excerpt ends here. Continue reading the full article.

Illustrations

Musical tuning: Two differently tuned thirds: Just major third Playⓘ.
Two differently tuned thirds: Just major third Playⓘ.
Musical tuning: And the slightly wider: Pythagorean major third Playⓘ.
And the slightly wider: Pythagorean major third Playⓘ.
Musical tuning: Man turning tuning pegs to tune guitar
Man turning tuning pegs to tune guitar
Musical tuning: Tuning of Sébastien Érard harp using Korg OT-120 Wide 8 Octave Orchestral Digital Tuner
Tuning of Sébastien Érard harp using Korg OT-120 Wide 8 Octave Orchestral Digital Tuner
Musical tuning: The pitches of open strings on a violin. Playⓘ
The pitches of open strings on a violin. Playⓘ

Worked examples

Example 1 — a first encounter with Musical tuning

Start with the simplest possible case. Write down what Musical tuning 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 Musical tuning 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 Musical tuning 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 Musical tuning

In research
Musical tuning 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 Musical tuning 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
Musical tuning 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 Musical tuning 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 Musical tuning in 20 minutes

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

Frequently asked questions

What is Musical tuning in simple terms?

In music, there are two common meanings for tuning: Tuning practice, the act of tuning an instrument or voice. Tuning systems, the various systems of pitches used to tune an instrument, and their theoretical bases.

Why does Musical tuning 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 Musical tuning?

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 Musical tuning.

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