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Although E-sharp minor is usually notated as F minor, it could be used on a local level, such as bars 17 to 22 in Johann Sebastian Bach's The Well-Tempered Clavier, Book 1, Prelude and Fugue No. 3 in C-sharp major. (E-sharp minor is the mediant minor key of C-sharp major.) The scale-degree chords of E-sharp minor are: Tonic – E-sharp minor
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.
the ascending melodic minor scale or jazz minor scale (also known as the Ionian ♭ 3 or Dorian ♯ 7): this form of the scale is also the 5th mode of the acoustic scale. the descending melodic minor scale: this form is identical to the natural minor scale . The ascending and descending forms of the A melodic minor scale are shown below:
On the other hand, the octave series is a geometric progression (2f, 4f, 8f, 16f, ...), and people perceive these distances as "the same" in the sense of musical interval. In terms of what one hears, each successively higher octave in the harmonic series is divided into increasingly "smaller" and more numerous intervals.
For example, the greater just minor seventh, 9:5 (Play ⓘ) is a 5-limit ratio, the harmonic seventh has the ratio 7:4 and is thus a septimal interval. Similarly, the septimal chromatic semitone , 21:20, is a septimal interval as 21÷7=3.
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
Harmonic series on G, partials 1–5 numbered Play ⓘ. The harmonic scale is a "super-just" musical scale allowing extended just intonation, beyond 5-limit to the 19th harmonic (Play ⓘ), and free modulation through the use of synthesizers. Transpositions and tuning tables are controlled by the left hand on the appropriate note on a one ...
The harmonic seventh arises from the harmonic series as the interval between the fourth harmonic (second octave of the fundamental) and the seventh harmonic; in that octave, harmonics 4, 5, 6, and 7 constitute the four notes (in order) of a purely consonant major chord (root position) with an added minor seventh (or augmented sixth, depending ...