And even a beginning piano student encounters geometry in the “circle of fifths” when learning ... Next, he noted that the order of the notes in a chord doesn’t much matter.

Other common representations include the circle of fifths ... Musical chords have a non-Euclidean geometry that has been exploited by Western composers in many different styles. A musical chord can be ...

Mindful Harmony encourages you to introduce subtle or extreme modulation to your compositions by creating chord progressions that move around the circle, modulating between modes as you go to create ...

A straight line joining two points on a circle is known as a chord. The angle between a tangent and a chord is equal to the angle in the alternate segment.

THIS work of Prof. Smith's has a “very practical purpose,” viz, “to present in simple and intelligible form a body of geometric doctrine, acquaintance with which may fairly be demanded of ...