This page is a sub-page of our page on Music.

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Related KMR pages:

• Chord-Set Inclusion Graph
• Solfège: An Abstract Key System
• Abstract and Concrete Chord Circles
• Interactions of Quarts and Quints

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The abstract chord sequence \, \langle \, ||: \, d_o \, f_a \, s_o \, f_a \, d_o \, :|| \, \rangle_{Sol} \, :

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Explain the appearance of the final “Do” above
(due to Intervals: DoFa + FaSo + SoFa + FaDo)
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The abstract chord sequence \, \langle \, ||: \, d_o \, f_a \, s_o \, f_a \, d_o \, :|| \, \rangle_{Sol} \, instantiated in the keys of d_o := C \, \text{(blue)}, d_o := G \, \text{(red)} \, \text{and} \, d_o := A \, \text{(green)}:

\, \langle \, ||: \, d_o \, f_a \, s_o \, f_a \, d_o \, :|| \rangle_{Sol} \, tunes in the key of D:

\, \langle \, ||: \, D \, G \, A \, G \, D \, :|| \, \rangle_{D} \,

• Twist And Shout (The Beatles) in the key of D.

\, \langle \, ||: \, d_o \, f_a \, s_o \, f_a \, d_o \, :|| \, \rangle_{Sol} \, tunes in the key of A:

\, \langle \, ||: \, A \, D \, E \, D \, A \, :|| \, \rangle_{A} \,

• Wild Thing (The Troggs) in the key of A.

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{Do, Fa, So, La_m} tunes:

Country Roads:

{ [ \, C_{ountry} \, R_{oads} \, ]}_{Sol} \, = \, \langle \, ||: \, d_o \, s_o \, {l_a}_m \, f_a \, d_o \, s_o \, f_a \, d_o \, :|| \, \rangle_{Sol} \, in the key of A:

{ [ \, \, C_{ountry} \, R_{oads} \, ] }_A \, \, = \, \, \langle \, ||: \, A \, E \, {F^{\sharp}}_m \, D \, A \, E \, D \, A \, \, :|| \, \rangle_{A} \,

• Country Road (John Denver) in the key of A.

Country Roads in the key of G:

\, { [ \, C_{ountry} \, R_{oads} \, ] }_G \, = \, \langle \, ||: \, G \, D \, E_m \, C \, G \, D \, C \, G \, :|| \, \rangle_{G} \, :

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