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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 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:
The above scale allows a minor tone to occur next to a semitone which produces the awkward ratio 32:27 for D→F, and still worse, a minor tone next to a fourth giving 40:27 for D→A. Flattening D by a comma to 10:9 alleviates these difficulties but creates new ones: D→G becomes 27:20, and D→B becomes 27:16.
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.
C-D ♯-F ♯-A-C-D ♯ In the minor-thirds tuning, every interval between successive strings is a minor third. In the minor-thirds tuning beginning with C, the open strings contain the notes (C, D ♯, F ♯) of the diminished C chord. [28]
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-octave keyboard.
Starting from D for example (D-based tuning), six other notes are produced by moving six times a ratio 3:2 up, and the remaining ones by moving the same ratio down: E♭–B♭–F–C–G–D–A–E–B–F♯–C♯–G♯ This succession of eleven 3:2 intervals spans across a wide range of frequency (on a piano keyboard, it encompasses 77 ...
The Aeolian mode is identical with the natural minor scale. Thus, it is ubiquitous in minor-key music. The following is a list of some examples that are distinguishable from ordinary minor tonality, which also uses the melodic minor scale and the harmonic minor scale as required. Traditional – "God Rest You Merry, Gentlemen"