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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.
The Sharp Scale was devised by Henrietta Sharp Cockrell as an objective and scientific way to measure the opacity of paper, particularly of manuscript folios, 'in the field' without specialized equipment. A practical application of the technique could be done in a museum or library setting.
Similarly, a sharp sign raises the pitch by one semitone. For example, a sharp on the note D would raise it to D♯ while a flat would lower it to D♭. Double sharps and double flats are less common, but they are used. A double sharp is placed before a note to make it two semitones higher, a double flat - two semitones lower.
A sharp raises a note's pitch by a semitone and a flat lowers it by a semitone. Double flats ( ) or sharps ( ) may also be used, which alter the unmodified note by two semitones. If a note with an accidental is tied , the accidental continues to apply, even if the note it is tied to is in the next measure.
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In jazz, the altered scale, altered dominant scale, or super-Locrian scale (Locrian ♭ 4 scale) is a seven-note scale that is a dominant scale where all non-essential tones have been altered. This means that it comprises the three irreducibly essential tones that define a dominant seventh chord , which are root, major third, and minor seventh ...
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