Who invented Meantone temperament?

Use of meantone temperament However, the first mathematically precise Meantone tuning descriptions are found in late 16th century treatises by Francisco de Salinas and Gioseffo Zarlino.

What is a syntonic comma interval?

In music theory, the syntonic comma, also known as the chromatic diesis, the Didymean comma, the Ptolemaic comma, or the diatonic comma is a small comma type interval between two musical notes, equal to the frequency ratio 81:80 (= 1.0125) (around 21.51 cents).

What is werckmeister tuning?

Werckmeister temperaments are the tuning systems described by Andreas Werckmeister in his writings. The tuning systems are numbered in two different ways: the first refers to the order in which they were presented as “good temperaments” in Werckmeister’s 1691 treatise, the second to their labelling on his monochord.

What is the difference between just intonation and equal temperament?

Just Intonation: smooth chords, melody notes that sound out of tune. 2. Equal Temperament – melody notes sound in tune, chords sound rough. One of the best ways to understand the difference Equal Temperament and Just Intonation is to play harmonicas tuned to JI and ET and compare the way they sound.

What tuning did Beethoven use?

Tuning forks were invented in the early 18th century, and were used primarily for tuning string instruments (violins, violas, cellos guitars) to a common resonance for the note ‘A’ above middle ‘C’….Beethoven’s tuning fork.

Full title: Tuning fork formerly belonging to Ludwig van Beethoven
Held by British Library
Shelfmark: Add MS 71148 A

What is a comma in musical tuning?

comma, in music, slight difference in frequency (and therefore pitch) occurring when a note of a scale, say E in the scale of C, is derived according to different systems of tuning. There are two commonly cited commas, the Pythagorean comma and the comma of Didymus, or syntonic comma.

What is a breath mark in music?

[English] A directive to the performer to break the phrase at that point in the composition and breathe, thus assisting in the production of a smooth phrase consistent with the composer’s wishes.

How do you find the Pythagorean comma?

It is equal to the frequency ratio (1.5)12⁄27 = 531441⁄524288 ≈ 1.01364, or about 23.46 cents, roughly a quarter of a semitone (in between 75:74 and 74:73). The comma that musical temperaments often refer to tempering is the Pythagorean comma.