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216                                         HOPI SONGS
Discord is any combination of pitches within the diatonic scale other than the notes of one of its three triads with their octaves, and reso­lution the sequence of some combination of these upon the discordant group. In the resolution represented, the upper octave of the tonic represents it. Modulation is a change in the conception of the step of the scale represented by a given pitch, entailing changes in the pitches identified with other steps of the scale. It appears in the dia­gram as a revolution of the triads about the axis of tone. The modu­lation from D to is shown as a backward rotation (ascent) of the scale through 15°, Si coming to occupy the place of Do. Mutation of
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E-Book - An Annotated Compendium of Old Time American Songs by James Alverson III