Perfect fourth - Wikipedia
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For example, the root of chord ii, if tuned to a fifth above the dominant, would be a major whole tone 9: If tuned a just minor third 6: Meantone temperament reduces the difference between 9: Equal temperament tunings[ edit ] In equal temperamentthe octave is divided into equal parts on the logarithmic scale.
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While it is possible to construct equal temperament scale with any number of notes for example, the tone Arab tone systemthe most common number is 12, which makes up the equal-temperament chromatic scale.
In western music, a division into twelve intervals is commonly assumed unless it is specified otherwise. For the chromatic scale, the octave is divided into twelve equal parts, each semitone half-step is an interval of the twelfth root of two so that twelve of these equal half steps add up to exactly an octave.
With fretted instruments it is very useful to use equal temperament so that the frets align evenly across the strings. In the European music tradition, equal temperament was used for lute and guitar music far earlier than for other instruments, such as musical keyboards.
Because of this historical force, twelve-tone equal temperament is now the dominant intonation system in the Western, and much of the non-Western, world.
Equally tempered scales have been used and instruments built using various other numbers of equal intervals. The 19 equal temperamentfirst proposed and used by Guillaume Costeley in the 16th century, uses 19 equally spaced tones, offering better major thirds and far better minor thirds than normal semitone equal temperament at the cost of a flatter fifth.
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The overall effect is one of greater consonance. Twenty-four equal temperamentwith twenty-four equally spaced tones, is widespread in the pedagogy and notation of Arabic music.
However, in theory and practice, the intonation of Arabic music conforms to rational ratiosas opposed to the irrational ratios of equally tempered systems. These neutral seconds, however, vary slightly in their ratios dependent on maqamas well as geography.
Indeed, Arabic music historian Habib Hassan Touma has written that "the breadth of deviation of this musical step is a crucial ingredient in the peculiar flavor of Arabian music.
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