In equal temperament, pairs of enharmonic notes such as A♭ and G♯ are thought of as being exactly the same note—however, as the above table indicates, in Pythagorean tuning they have different ratios with respect to D, which means they are at a different frequency.
- What is the difference between just intonation and equal temperament?
- How out of tune is equal temperament?
- Is Pythagorean tuning the same as just intonation?
- Do we use equal temperament?
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.
How out of tune is equal temperament?
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. Nothing is perfect; nothing is terrible.
Is Pythagorean tuning the same as just intonation?
Pythagorean tuning is a type of just intonation. You don't quite get simple ratios by stacking P5, but what you get is also decent -> major/minor thirds and sixths are a schisma away from simple ratios, so you get a few good intervals in a 12 notes gamut.
Do we use equal temperament?
Equal temperament, in music, a tuning system in which the octave is divided into 12 semitones of equal size. Equal temperament tuning was widely adopted in France and Germany by the late 18th century and in England by the 19th. ... Other systems are discussed in tuning and temperament.