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An eighth note or a quaver is a musical note played for one eighth the duration of a whole note (semibreve). Its length relative to other rhythmic values is as expected—e.g., half the duration of a quarter note (crotchet), one quarter the duration of a half note (minim), and twice the value of a sixteenth note.
The extremes of the meantone systems encountered in historical practice are the Pythagorean tuning, where the whole tone corresponds to 9:8, i.e. (3:2) 2 / 2 , the mean of the major third (3:2) 4 / 4 , and the fifth (3:2) is not tempered; and the 1 ⁄ 3-comma meantone, where the fifth is tempered to the extent that three ...
The size of an interval between two notes may be measured by the ratio of their frequencies.When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as 1:1 (), 2:1 (), 5:3 (major sixth), 3:2 (perfect fifth), 4:3 (perfect fourth), 5:4 (major third), 6:5 (minor third).
Sonantometry or music as math discipline. Music: A Mathematical Offering by Dave Benson. Nicolaus Mercator use of Ratio Theory in Music at Convergence; The Glass Bead Game Hermann Hesse gave music and mathematics a crucial role in the development of his Glass Bead Game. Harmony and Proportion. Pythagoras, Music and Space. "Linear Algebra and Music"
Clear quarter note pulse in 4 4 at a tempo of =120 Play ⓘ.At =600 the pulse becomes a drone Play ⓘ, while at =30 the pulse becomes disconnected sounds Play ⓘ.. While ideal pulses are identical, when pulses are variously accented, this produces two- or three-pulse pulse groups such as strong–weak and strong–weak–weak [4] and any longer group may be broken into such groups of two and ...
A semitone is thus made of two steps, and three steps make a three-quarter tone or neutral second, half of a minor third. The 8-TET scale is composed of three-quarter tones. Four steps make a whole tone. Quarter tones and intervals close to them also occur in a number of other equally tempered tuning systems.
As the name implies, a quarter note's duration is one quarter that of a whole note, half the length of a half note, and twice that of an eighth note. It represents one beat in a bar of 4 4 time. The term "quarter note" is a calque (loan-translation) of the German term Viertelnote.
In the Middle Ages, simultaneous notes a fourth apart were heard as a consonance.During the common practice period (between about 1600 and 1900), this interval came to be heard either as a dissonance (when appearing as a suspension requiring resolution in the voice leading) or as a consonance (when the root of the chord appears in parts higher than the fifth of the chord).