Did Bach Invent Equal Temperament?

by | Last updated on January 24, 2024

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Did Bach invent equal temperament?

Bach didn’t use equal temperament

. Neither did Mozart nor Beethoven or any of their contemporaries. They used unequal temperaments — also known as, you guessed it, Well-tempered. In the Well-Tempered Clavier, Bach celebrated unequal tempered tuning, not today’s equal tempered tuning.

Did Bach invent well temperament?

Note T.Y. ratio E.T. ratio C 2 2

Who invented equal temperament tuning?

Two people are generally credited with the calculation of equal temperament:

Zhu Zaiyu (in 1584) and Simon Stevin (in 1585)

.

Who invented well temperament?

What was used before equal temperament?

Before Meantone temperament became widely used in the Renaissance, the most commonly used tuning system was

Pythagorean tuning

. Pythagorean tuning was a system of just intonation that tuned every note in a scale from a progression of pure perfect fifths.

What tuning system did Bach use?

The main tuning system in Bach’s time was called

meantone temperament

. This system sounds great in C major and nearby keys, but the further away you move on the circle of fifths, the worse everything sounds.

Is equal temperament used today?

12-tone equal temperament, which divides the octave into twelve equally-sized intervals, is

the most common musical system used today, especially in Western music

.

Did Mozart use equal temperament?

UNEQUAL TEMPERAMENT

Bach didn’t use equal temperament.

Neither did Mozart nor Beethoven or any of their contemporaries

. They used unequal temperaments — also known as, you guessed it, Well-tempered. In the Well-Tempered Clavier, Bach celebrated unequal tempered tuning, not today’s equal tempered tuning.

What is the difference between equal temperament and just temperament?

Just tuning is often used by ensembles (such as for choral or orchestra works) as the players match pitch with each other “by ear.” The “equal tempered scale” was developed for keyboard instruments, such as the piano, so that they could be played equally well (or badly) in any key. It is a compromise tuning scheme.

Who invented 12 tone equal temperament?

The two figures frequently credited with the achievement of exact calculation of twelve-tone equal temperament are

Zhu Zaiyu

(also romanized as Chu-Tsaiyu. Chinese: 朱載堉) in 1584 and Simon Stevin in 1585.

Why is equal temperament out of tune?


Because of the limitations of keyboard instruments, one way or another, a keyboard tuner has to “temper” some of the notes so that some scales sound the same

. In equal temperament, all the scales average out the same, the distance between the notes are all the same.

What tuning did Beethoven use?

Tests have shown that Beethoven’s tuning fork resonates at

455.4 Hertz

, over half a semitone higher than today’s standard ‘A’ pitch of 440 Hertz. Click on the image to hear what it sounds like when it is struck.

Where did equal temperament start?

The idea of equal temperament had its most effective advocates among German musicians and theorists, beginning with

Andreas Werckmeister in the early 18th century

.

Are piano tuning to equal temperament?


Pianos today are tuned in “equal temperament,”

which means that each note is the same distance in pitch from its neighbours.

What was the significance of Bach’s composition The Well-Tempered Clavier?

In Bach’s own words The Well-Tempered Clavier was composed “

for the profit and use of musical youth desirous of learning and especially for the pastime of those already skilled in this study

.” These manuscripts were copied and circulated widely throughout Europe but the work was not officially published until 1801.

Do orchestras play in equal temperament?

Meanwhile, an orchestra is made of a bunch of instruments, some of which tune naturally by ear—strings, woodwinds, brass—but also

instruments in fixed, equal temperament

: harp, marimbas and xylophones, harpsichord and piano, etc.

What tuning system did Mozart use?

Mozart used the same process as given above, but extended it to a cycle of

21 meantone “5ths”

, an elegantly symmetrical system from implied 3

– 10

= Ebb to implied 3

10

= A#. He then destroyed the symmetry of the scale by limiting himself to 20 notes and eliminating the implied 3

– 7

= Cb.

Are saxophones equal temperament?

For a sax player,

just temperament, tuning by ear, is the rule

. For a piano or fretted guitar, it is all about equal temperament. Most tuners also tune to equal temperament. there is a lot on the internet about all of this and why.

Are guitars in equal temperament?

Which instruments use equal temperament?

The equal tempered scale is the common musical scale used at present, used for the tuning of

pianos and other instruments of relatively fixed scale

.

Do violins use equal temperament?

So, to sum up,

violins can’t be tuned to equal temperament at all

, violins are system-free instruments.

How many musical temperaments are there?

Accounting for major and minor, there are in total 2×12=24 different music scales. We also call music scales shortly „keys“. A piece written in the C key uses the C music scale. A vital question is, as mentioned above, how to set

the12 semitone intervals within the octave

, that is, how to choose the music temperament.

Why is Baroque tuning different?

Historically there were many different pitches to which groups of musicians tuned, based on local tradition or, in the Baroque era, to the pitch the local organ was set as it was impractical to tune otherwise. This pitch varied from about A=380 Hz to as high as A=480 Hz, based on surviving examples.

How did equal temperament tuning change Western music in the Baroque period?

Equal temperament permitted 19th-century composers to use the 12 notes of the chromatic scale with the utmost freedom. It also fixed those 12 notes so immutably in the Western musical consciousness that the revolutionary developments of 20th-century music, far from undermining them, have tended to perpetuate them.

Who invented just intonation?


Harry Partch

was the first such composer. He defined his own scale with 43 pitches to the octave, and invented his own instruments to play it.

What frequency did Mozart use?

Fiction: Mozart used

432 Hz

for all of his music. Fact: The only evidence for Mozart’s A comes from an ancient tuning fork from 1780 with the tone of A=421.6 Hz.

Are pianos tuned to 440?


In modern times, it is standard to tune pianos to A440

. In modern times, it has become the standard to tune pianos to A440. The note A above middle C is tuned so that it vibrates at 440 Hz (440 vibrations per second), and all other notes on the piano are tuned in relation to that note.

What is unequal temperament?

Unequal temperaments

give different colors of tone to various key signatures by making certain intervals more pure

. In contrast, equal temperaments divide an octave into twelve equally spaced notes. This allows the pianist to play in any key with a minimum number of intonation flaws.

Why are pianos slightly out of tune?

Why is it impossible to tune a piano?

Why is every piano out of tune?

Why is Every Piano Out of Tune?

An odd number never equals an even number

. So every piano is out of tune! Furthermore, 2

19

= 524288 and 3

12

= 531441.

What did Bach mean by well-tempered?

Who Wrote The Well-Tempered Clavier quizlet?


Johann Sebastian Bach

—The Well-Tempered Clavier (Prelude and Fugue No. 21 in B flat major) Flashcards | Quizlet.

Is The Well-Tempered Clavier a masterpiece?

As a general statement of historical fact and cultural regard, Bach’s Well-Tempered Clavier is

a towering and singular masterpiece

of immense influence in the history of Western Art Music or “Classical” music.

How old was Bach when he wrote Well-Tempered Clavier?

Bach was then

38 years old

. In 1722 the scale commonly in use today had not been codified. Intervals between the notes within an octave are not equal, and for many years musicians tried to figure out how to accommodate a scale to the best practical advantage. Mean‐ tone temperament was one solution.

Amira Khan
Author
Amira Khan
Amira Khan is a philosopher and scholar of religion with a Ph.D. in philosophy and theology. Amira's expertise includes the history of philosophy and religion, ethics, and the philosophy of science. She is passionate about helping readers navigate complex philosophical and religious concepts in a clear and accessible way.