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The harmonic minor scale (or Aeolian ♮7 scale) is a musical scale derived from the natural minor scale, with the minor seventh degree raised by one semitone to a major seventh, [2] [3] [4] creating an augmented second between the sixth and seventh degrees.
Euler's Tonnetz. The Tonnetz originally appeared in Leonhard Euler's 1739 Tentamen novae theoriae musicae ex certissismis harmoniae principiis dilucide expositae.Euler's Tonnetz, pictured at left, shows the triadic relationships of the perfect fifth and the major third: at the top of the image is the note F, and to the left underneath is C (a perfect fifth above F), and to the right is A (a ...
The A harmonic minor scale can be used on the chords of a piece in A minor, especially on the minor ii–V–i chord progression. One of the most common uses of the harmonic minor scale is its fifth mode (phrygian dominant scale), which is a frequently used over dominant chords.
Harmonic table note layout. The Harmonic Table note-layout , or tonal array, is a key layout for musical instruments that offers interesting advantages over the traditional keyboard layout. Its symmetrical, hexagonal pattern of interval sequences places the notes of the major and minor triads together.
The harmonic minor scale (or Aeolian ♯ 7 scale) has the same notes as the natural minor scale except that the seventh degree is raised by one semitone, creating an augmented second between the sixth and seventh degrees.
For instance: the frequency ratio 5:4 is equal to 4 ⁄ 5 of the string length and 4 ⁄ 5 is the complement of 1 ⁄ 5, the position of the fifth harmonic (and the fourth overtone). The Norwegian composer Eivind Groven also wrote a thesis on the scale of harmonics, claiming this to be the oldest usable scale, frequent in Norwegian folk music ...
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 ...