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===Circle progressions=== {{Image frame|content=<score sound="1"> { \new PianoStaff << \new Staff << \new Voice \relative c' { \clef treble \time 4/4 \stemUp e2 f d e c d b c } \new Voice \relative c' { \stemDown c2 c b b a a g g } >> \new Staff << \new Voice \relative c' { \clef bass \time 4/4 \stemUp g2 a f g e f d e } \new Voice \relative c { \stemDown c_\markup { \concat { \translate #'(-4 . 0) { "C: I" \hspace #2.8 "IV" \hspace #3 "vii" \raise #1 \small "o" \hspace #1.5 "iii" \hspace #3.2 "vi" \hspace #2.5 "ii" \hspace #3.8 "V" \hspace #3 "I" } } } f, b e, a d, g c, } >> >> } </score>|width=340|caption=A [[circle progression]] in C major}}{{Image frame|content=<score sound="1"> { \relative c' { \clef treble \time 4/4 \key c \major <e gis b d>1_\markup { \concat { \translate #'(-3.5 . 0) { "C: III" \raise #1 \small "7" \hspace #5 "VI" \raise #1 \small "7" \hspace #5.5 "II" \raise #1 \small "7" \hspace #5.5 "V" \raise #1 \small "7" } } } <a, e' g! cis> <d fis a c!> < g, d' f! b> \bar "||" } } </score>|width=310|caption=The [[ragtime progression]] (E<sup>7</sup>–A<sup>7</sup>–D<sup>7</sup>–G<sup>7</sup>) often appears in the [[bridge (music)|bridge]] of [[jazz standard]]s.<ref>Boyd, Bill (1997). ''Jazz Chord Progressions'', p. 56. {{ISBN|0-7935-7038-7}}.</ref> The III<sup>7</sup>–VI<sup>7</sup>–II<sup>7</sup>–V<sup>7</sup> (or V<sup>7</sup>/V/V/V–V<sup>7</sup>/V/V–V<sup>7</sup>/V–V<sup>7</sup>) leads back to C major (I) but is itself indefinite in key.}}Introducing the ii chord into these progressions emphasises their appeal as constituting elementary forms of [[circle progression]]. These, named for the [[circle of fifths]], consist of "adjacent [[Root (chord)|roots]] in ascending fourth or descending fifth relationship"—for instance, the sequence vi–ii–V–I ascends with each successive chord to one a fourth above the previous. Such a motion, based upon close harmonic relations, offers "undoubtedly the most common and the strongest of all harmonic progressions".<ref name="B&S">{{cite book|last1=Benward|first1=Bruce|last2=Saker|first2=Marilyn|year=2003|title=Music: In Theory and Practice|volume=I|page=178|publisher=McGraw-Hill |edition=7th|isbn=978-0-07-294262-0}}</ref> Short cyclical progressions may be derived by selecting a sequence of chords from the series completing a circle from the tonic through all seven diatonic chords:<ref name="B&S"/><blockquote>I–IV–vii<sup>o</sup>–iii–vi–ii–V–I</blockquote>This type of progression was much used by classical composers, who introduced increasingly subtle inflections. Particularly, substitution of major for minor chords giving, for example, I–VI–II–V allowed a more sophisticated [[chromaticism]] as well as the possibility of [[modulation (music)|modulation]]. These harmonic conventions were taken up by American popular entertainers, giving rise to many variations on those harmonic staples of early [[jazz]] that have been dubbed the [[ragtime progression]] and the [[stomp progression]]. All such progressions may be found used sectionally, as for example in the much-used "[[rhythm changes]]" of [[George Gershwin]]'s "[[I Got Rhythm]]".
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