dominant seventh chord just intonation

The Dominant Seventh Chord 19.1 Introduction. For example, a justly intuned A harmonic seventh chord in root position starting at A440 consists of the pitches 440 Hz, 550 Hz, 660 Hz, and 770 Hz. List of chords in just intonation. In the first case, the chord has a pre-dominant or sub-dominant function, in the second, a dominant function. In fact, if the consonance and stability of an interval are determined by the smallness of the numbers in its ratio, these are the four most consonant notes of all — 1/1, 3/1, 5/1 and 7/1. Augmented 7th Chord The dominant-7th chord is formally a chord containing 4 notes, built upward in pitch from the root with the intervals of a major-3rd, minor-3rd, and another minor-3rd, resulting in the chord-members identified as root, 3rd, 5th, and 7th. The above chord (Ab-C-Eb-F#) normally resolves to a C64 (major or minor) followed by a G chord when acting like a German Sixth but to a Db chord when acting like dominant seventh. With just intonation on all notes of the harmonic seventh chord, the ratio between the frequencies of the pitches in the chord is 4:5:6:7. "Just Intonation ! 7th= +26 5th= -4 3rd= -14. While an ordinary dominant chord would work just fine for resolution to the tonic chord, the addition of the seventh gives the chord not only a greater degree of richness, but also additional dissonance that demands urgent resolution to the tonic. Figure 11-12 Seventh Chords. As we will see in Chapter 14, this “Blue Note” seventh is also considerably more consonant-sounding. C Maj 7: C – E 1 – G – B 1. Key Signatures. The dominant seventh chord is one of the chords in music that is associated with dissonance (an unpleasant combination of notes), consequently, the dominant seventh chord sounds restless and has the tendency to move to a more stable chord when played. C 7: the “dominant” seventh, can be C – E 1 – G – Bb but the E 1 can go up to E and the Bb can go up to B 1 b. Just Intonation Intervals. 47 terms. C min 7: C – E 1 Ascending Intervals. Lower it 31 cents – very consonant, resolves well, best used for dominant harmonic functions ! In this post I’ll be showing you two ways to resolve dominant seventh chords. Minor-major (mmaj7) ... augmented triad + augmented seventh. Dominant. One of these types occurs far more frequently than any of the others: the major-minor seventh chord, typically built on scale degree [latex]\hat5[/latex]. Augmented Major 7th Chord. 50 terms. It has been asserted that a dimished seventh chord cannot be tuned in just intonation. An example of a V 7-I progression in C major.. Maj +2-14 + or - is cents rounded to nearest whole number min +16 +2 dim +16-17 Aug -14-4 Maj w/ add 6 -16-14 +2 min w/ add 6 +19 +16 +2 dim w/ add b6 +14-17 +16 dom 7 -14-31 +2 In Chapter 18 we discussed the various types of seventh chords that one encounters in tonal Western art music. Eliminating beats makes the sound more consonant ... 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