## Is equal temperament out of tune?

One of those tunings was already known to the ancients: equal temperament. Here the poison is distributed equally through the system: The distance between each interval is mathematically the same, so each interval is equally in, and slightly out of, tune.

### Who proved equal temperament in 1722?

The two figures frequently credited with the achievement of exact calculation of equal temperament are Zhu Zaiyu (also romanized as Chu-Tsaiyu.

How do you find equal temperament?

In equal temperament, each semitone is measured at 100 cents (1 cent = 1/1,200 octave); measuring by frequency (vibrational cycles per second), each semitone step increases in frequency by a factor of the 12th root of 2, or about 1.059.

Is equal temperament good?

Equal temperament is appropriate for some music of the 20th century, especially atonal music, and music based on the whole tone scale, but not for the works of the 18th and 19th centuries. Equal temperament, the modern and usually inappropriate system of tuning used in western music, is based on the twelfth root of 2.

## Did Beethoven use equal temperament?

UNEQUAL 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 just and equal temperament?

The “Just Scale” (sometimes referred to as “harmonic tuning” or “Helmholtz’s scale”) occurs naturally as a result of the overtone series for simple systems such as vibrating strings or air columns. The equal tempered system uses a constant frequency multiple between the notes of the chromatic scale.

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 is the difference between just intonation and equal temperament?

Just intonation requires tuning your instrument for a specific key. With standard equal temperament, you can play further down the neck in another key and not end up with different sound quality intervals between notes.

## Did Mozart use equal temperament?

### What was before equal temperament?

Do violinists play in equal temperament?

Violinists usually tune their open strings in just fifths (which have an exact 2:3 ratio). Although I have suggested using equal temperament for learning to play in tune with your app, the most important thing is that you try to play exactly in tune, whichever setting you use.

When did equal temperament become standard?

Meantone temperament became the standard for a time, but music started to become more an more complex, and composers wanted to modulate to other keys, and introduce accidentals. Because of this, in approximately 1750, equal temperament became the standard.

## What is the frequency ratio of 22 equal temperament?

In music, 22 equal temperament, called 22-TET, 22- EDO, or 22-ET, is the tempered scale derived by dividing the octave into 22 equal steps (equal frequency ratios). Play (help·info) Each step represents a frequency ratio of 22√ 2, or 54.55 cents ( Play (help·info) ).

### What does 22 equal temperament mean in music?

22 equal temperament. In music, 22 equal temperament, called 22-tet, 22-edo, or 22-et, is the tempered scale derived by dividing the octave into 22 equal steps (equal frequency ratios).

Where did the idea of 22 equal temperament come from?

The net effect is that 22-ET allows (and to some extent even forces) the exploration of new musical territory, while still having excellent approximations of common practice consonances. The idea of dividing the octave into 22 steps of equal size seems to have originated with nineteenth-century music theorist RHM Bosanquet.

Which is the best description of an equal temperament?

An equal temperament is a musical temperament, or a system of tuning, in which the frequency interval between every pair of adjacent notes has the same ratio.