These notes include: the chord’s root, which functions as a kind of harmonic anchor ... resulting in the dissonant-sounding tritone interval. Additionally, the presence of the 9th and 13th ...

If they could prove this for every interval up to three, they’d prove the Kakeya conjecture ... The conjecture’s resolution is a seismic shift for the field of harmonic analysis, which studies the ...

During an evening performance at La Scala, things are going badly wrong. The dancers’ camp routine is uncoordinated, a soprano singing from atop a flimsy cut-out elephant shrieks as she tumbles, and ...

The impurities that creep into certain intervals under the Western system ... which begins with a double bass sounding the harmonic series of a single string and builds up a throbbing monument ...

The first of the overture’s four sections, according to Dr. Roberts, features four motives: the tones of AEC, and then the harmonic intervals 6-C-12 (formula: sixth element on the periodic table ...

“We are usually most pleased by the tones from our cultural origin; it is as if we are ‘wired’ to anticipate specific harmonic resolutions ... at different intervals of time, incorporating ...

"The ensemble’s dramatic approach to the work brought out a new experience of Mozart’s astonishing harmonic adventurism." ...

Bach homes in on the harmonic structure ... (like a ‘round’), its imitative voices set at a progressively wider interval each time: variation 3 is a canon on the unison, no. 6 with the ...

One of the best ways to do that is with a style of workout called interval training. But once you’re comfortably running a few miles at a consistent clip multiple times per week, occasionally ...