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In music, an octave (Latin: octavus: eighth) or perfect octave (sometimes called the diapason) [2] is an interval between two notes, one having twice the frequency of vibration of the other. The octave relationship is a natural phenomenon that has been referred to as the "basic miracle of music", the use of which is "common in most musical ...
Philolaus's scale thus consisted of the following intervals: 9:8, 9:8, 256:243 [these three intervals take us up a fourth], 9:8, 9:8, 9:8, 256:243 [these four intervals make up a fifth and complete the octave from our starting note]. This scale is known as the Pythagorean diatonic and is the scale that Plato adopted in the construction of the ...
Franz Schubert's Trout Quintet and Antonín Dvořák's Piano Quintet No. 2 are both in A major. Johannes Brahms, César Franck, and Gabriel Fauré wrote violin sonatas in A major. In connection to Beethoven's Kreutzer Sonata, Peter Cropper said that A major "is the fullest sounding key for the violin." [2]
[2] The Pythagorean scale is any scale which can be constructed from only pure perfect fifths (3:2) and octaves (2:1). [5] In Greek music it was used to tune tetrachords, which were composed into scales spanning an octave. [6] A distinction can be made between extended Pythagorean tuning and a 12-tone Pythagorean temperament.
Compositions using the octatonic scale: Radiohead "Just" (1995). Jonny Greenwood plays a series of OCT02 scales on the guitar during the intro (0:06-0:16) and each chorus (0:55-1:05, 1:44-1:55, 2:47-3:09) [1] Béla Bartók; Harvest Song (Ara táskor) Violin Duo # 33. Frederic Chopin; Ballade No. 1 in G Minor, Op. 23 : (bars 130-132)
In music theory, the scale degree is the position of a particular note on a scale [1] relative to the tonic—the first and main note of the scale from which each octave is assumed to begin. Degrees are useful for indicating the size of intervals and chords and whether an interval is major or minor .
Cello – C 2 G 2 D 3 A 3 (an octave lower than the viola) Double bass – E 1 A 1 D 2 G 2 (ascending perfect fourths, where the highest sounding open string coincides with the G on a cello). Double bass with a low C extension – C 1 E 1 A 1 D 2 G 2 (the same, except for low C, which is a major third below the low E on a standard 4-string ...
Harmonic fragment scales form a rare exception to this issue. In tunings such as 1:1, 9:8, 5:4, 3:2, 7:4, 2:1, all the pitches are chosen from the harmonic series (divided by powers of 2 to reduce them to the same octave), so all the intervals are related to each other by simple numeric ratios. Pythagorean tuning
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