Once you know the basic chords, it might be easier to think of them the way the function inside a key. For example, when in the key of E, the E (I) is called the Tonic. It's what all the other chords want to get to—which is what helps give western music its sense of motion. The A (IV) in the key of E functions as the Subdominant—it's sort of a passive in-between, just as happy to continue forward, as to relax back to the Tonic. The Dominant is just what it sounds like: it leads you where it wants to go. In the key of E, that role is filled by the B (V), and will definitely make your brain want to get back to the Tonic! When you get more familiar with the chords, and want to sketch out a tune, try writing it as I-IV-V (or variations of that) instead of E-A-B. It will make it much easier to transpose when you find out your singer cannot sing in the original key!
As their categorical name suggests, extended chords indeed extend seventh chords by stacking one or more additional third-intervals, successively constructing ninth, eleventh, and finally thirteenth chords; thirteenth chords contain all seven notes of the diatonic scale. In closed position, extended chords contain dissonant intervals or may sound supersaturated, particularly thirteenth chords with their seven notes. Consequently, extended chords are often played with the omission of one or more tones, especially the fifth and often the third, as already noted for seventh chords; similarly, eleventh chords often omit the ninth, and thirteenth chords the ninth or eleventh. Often, the third is raised an octave, mimicking its position in the root's sequence of harmonics.
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Open tunings improve the intonation of major chords by reducing the error of third intervals in equal temperaments. For example, in the open-G overtones tuning G-G-D-G-B-D, the (G,B) interval is a major third, and of course each successive pair of notes on the G- and B-strings is also a major third; similarly, the open-string minor-third (B,D) induces minor thirds among all the frets of the B-D strings. The thirds of equal temperament have audible deviations from the thirds of just intonation: Equal temperaments is used in modern music because it facilitates music in all keys, while (on a piano and other instruments) just intonation provided better-sounding major-third intervals for only a subset of keys. "Sonny Landreth, Keith Richards and other open-G masters often lower the second string slightly so the major third is in tune with the overtone series. This adjustment dials out the dissonance, and makes those big one-finger major-chords come alive."
Russell, George (2001) . "Chapter 1 The Lydian scale: The seminal source of the principal of tonal gravity". George Russell's Lydian chromatic concept of tonal organization. Volume One: The art and science of tonal gravity (Fourth (Second printing, corrected, 2008) ed.). Brookline, Massachusetts: Concept Publishing Company. pp. 1–9. ISBN 0-9703739-0-2.
the fifth, which is a perfect fifth above the root; consequently, the fifth is a third above the third—either a minor third above a major third or a major third above a minor third. The major triad has a root, a major third, and a fifth. (The major chord's major-third interval is replaced by a minor-third interval in the minor chord, which shall be discussed in the next subsection.)
Further simplifications occur for the regular tunings that are repetitive, that is, which repeat their strings. For example, the E-G♯-c-e-g♯-c' M3 tuning repeats its octave after every two strings. Such repetition further simplifies the learning of chords and improvisation; This repetition results in two copies of the three open-strings' notes, each in a different octave. Similarly, the B-F-B-F-B-F augmented-fourths tuning repeats itself after one string.
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