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The legend is, at least with respect to the hammers, demonstrably false. It is probably a Middle Eastern folk tale. [2] These proportions are indeed relevant to string length (e.g. that of a monochord) — using these founding intervals, it is possible to construct the chromatic scale and the basic seven-tone diatonic scale used in modern music, and Pythagoras might well have been influential ...
In linguistics, a modifier is an optional element in phrase structure or clause structure [1] which modifies the meaning of another element in the structure. For instance, the adjective "red" acts as a modifier in the noun phrase "red ball", providing extra details about which particular ball is being referred to.
Modern acoustic theory supports the medieval interpretation insofar as the intervals of unison, octave, fifth and fourth have particularly simple frequency ratios. The octave has the ratio of 2:1, for example the interval between a' at A440 and a'' at 880 Hz, giving the ratio 880:440, or 2:1.
Helmholtz resonator, p. 121, fig. 32. On the Sensations of Tone as a Physiological Basis for the Theory of Music (German Die Lehre von den Tonempfindungen als physiologische Grundlage für die Theorie der Musik), commonly referred to as Sensations of Tone, is a foundational work on music acoustics and the perception of sound by Hermann von Helmholtz.
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).
A narrower undecimal major fourth is found at 537 cents (the ratio 15:11). 31 equal temperament has an interval of 542 cents, which lies in between the two types of undecimal major fourth. The term may also be applied to the "comma-deficient major fourth" (or "chromatic major fourth" [3]), which is the ratio 25:18, or 568.72 cents (F ♯). [4]
The minimal Ursatz: a line supported by an arpeggiation of the bass. Play ⓘ.. In Schenkerian analysis, the fundamental structure (German: Ursatz) describes the structure of a tonal work as it occurs at the most remote (or "background") level and in the most abstract form.
Comparison between tunings: Pythagorean, equal-tempered, quarter-comma meantone, and others.For each, the common origin is arbitrarily chosen as C. The degrees are arranged in the order or the cycle of fifths; as in each of these tunings except just intonation all fifths are of the same size, the tunings appear as straight lines, the slope indicating the relative tempering with respect to ...