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For instance, the above-mentioned C major scale contains the tritones F–B (from F to the B above it, also called augmented fourth) and B–F (from B to the F above it, also called diminished fifth, semidiapente, or semitritonus); [2] the latter is decomposed as a semitone B–C, a whole tone C–D, a whole tone D–E, and a semitone E–F ...
Use of key signature usual or unusual 15 equal temperament: 15-tet scale on C. ... Half diminished scale: Half diminished scale on C. Play ...
In major scales, a diminished triad occurs only on the seventh scale degree. For instance, in the key of C, this is a B diminished triad (B, D, F). Since the triad is built on the seventh scale degree, it is also called the leading-tone triad. This chord has a dominant function.
The diatonic circle of fifths is the circle of fifths encompassing only members of the diatonic scale. Therefore, it contains a diminished fifth, in C major between B and F. See structure implies multiplicity. The circle progression is commonly a circle of fifths through the diatonic chords, including one diminished chord.
Its tonic chord is a diminished triad (B dim = B dim 5 min 3 = B D F, in the Locrian mode using the white-key diatonic scale with starting note B, corresponding to a C major scale starting on its 7th tone). This mode's diminished fifth and the Lydian mode's augmented fourth are the only modes that contain a tritone as a note in their modal scale.
There are three types of fifth intervals, namely perfect fifths (7 semitones), diminished fifth (6 semitones), and; augmented fifth (8 semitones). After the unison and octave intervals, the perfect fifth is the most important interval in tonal harmony. It is highly consonant.
The Locrian is neither a major nor a minor mode because, although its third scale degree is minor, the fifth degree is diminished instead of perfect. For this reason it is sometimes called a "diminished" scale, though in jazz theory this term is also applied to the octatonic scale .
In this case, the chord is viewed as a C major seventh chord (CM 7) in which the third note is an augmented fifth from root (G ♯), rather than a perfect fifth from root (G). All chord names and symbols including altered fifths, i.e., augmented (♯ 5, +5, aug5) or diminished (♭ 5, o 5, dim5) fifths can be interpreted in a similar way.