## Is just intonation Pythagorean?

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Applying the first part of this concept, some scholars refer to Pythagorean tuning as “3-limit just intonation,” since all intervals are derived either from fifths (3:2) or octaves (2:1), ratios involving 3 as the largest prime.

## What is Pythagorean tuning used for?

The Pythagorean scale is any scale which can be constructed from only pure perfect fifths (3:2) and octaves (2:1). In Greek music it was used to tune tetrachords, which were composed into scales spanning an octave.

**What is the difference between just and equal temperament tuning intonation systems )?**

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.

### Is Indian music just intonation?

Indian music has an extensive theoretical framework for tuning in just intonation.

### How do you calculate Pythagorean tuning?

From a C, we will build a major scale according to the Pythagorean tuning. We first calculate the fifth by multiplying the frequency of C by 3/2 (fifth size): To multiply a number by a fraction we multiply by the numerator (top number) and then divide by the denominator (bottom number). G = 261 x 3 / 2.

**Why is Pythagorean tuning not used?**

Pythagorean tuning provides uniformity but not the chords. Just tuning, based on the simpler ratios of the overtone series, provides the chords but suffers from inequality of intervals. Meantone tuning provides equal intervals but gives rise to several objectionable chords, even in simple music.

#### What is the best equal temperament?

In equal temperament, the perfect fifth, such as C–G, is narrower than the natural, or Pythagorean, fifth by 2 cents, a nearly imperceptible amount. These small intonational defects are equally distributed among the 12 tones of the chromatic scale, and only the octave remains as an acoustically pure interval.

#### What is wrong with Pythagorean tuning?

**Which instruments use just intonation?**

The modern un-fretted bowed string instruments; the violin, viola, cello and bass, can and do play in just intonation and can modulate to any key center and maintain just intonation. Modern brass instruments without valves, such as the bugle, play in just intonation in one key only.

## What tuning does Indian music use?

just-intonation tuning

However, Indian music uses just-intonation tuning, unlike some modern Western classical music, which uses the equal-temperament tuning system. Also, unlike modern Western classical music, Indian classical music places great emphasis on improvisation.

## What is the difference between Pythagorean tuning and equal temperament tuning?

Those extra 8.25 Hz means that musicians working with Pythagorean tuning can’t play regular chords, but have to stick to simpler music using mainly fifths instead. With Equal Temperament musicians figured out a way to play all different keys on the same instrument with a harmonic sound.

**How many notes are there in Pythagorean tuning?**

The syntonic tuning continuum, showing Pythagorean tuning at 702 cents. A series of fifths generated can give seven notes: a diatonic major scale on C in Pythagorean tuning Play . Diatonic scale on C Play 12-tone equal tempered and Play just intonation.

### Why can’t music be sung in just intonation?

This is because music is based on intervals between notes, and those intervals do not always add up when yous switch key. According to Ptolemy’s intense diatonic scale, which is considered the only tuning that could be reasonably sung, and corresponding with modern just intonation.

### Why is Pythagorean tuning so difficult to hear?

As musicians perform using the Pythagorean tuning, they still have to make adjustments, by ear. To the untrained ear, it’s difficult to hear the difference between a Pythagorean scale and an equal tempered scale.