More ideas from Lou
The Mersenne Star:  the cycle of fifths and all intervals illustrated. Named for Marin Mersennus, a French theologian, philosopher, mathematician and music theorist, often referred to as the “father of acoustics." Caption from link

Another look at the Circle of Fifths, and the relationship of relative minor keys to major key signatures.

"...the so-called “Coltrane circle,” which resembles what any musician will recognize as the “Circle of Fifths,” but incorporates Coltrane’s own innovations. Coltrane gave the drawing to saxophonist and professor Yusef Lateef in 1967, who included it in his seminal text, Repository of Scales and Melodic Patterns."

John Coltrane Draws a Picture Illustrating the Mathematics of Music. Physicist and saxophonist Stephon Alexander has argued in his many public lectures and his book The Jazz of Physics that Albert Einstein and John Coltrane had quite a lot in common.

Circle of 5ths Exercises. These are a series of progressive keyboard exercises for mastering the circle of 5ths. This is good prep for jazz or harmonization of actual tunes.

Circle of Exercises. These are a series of progressive keyboard exercises for mastering the circle of This is good prep for jazz or harmonization of actual tunes.

Circle Of Fifths

the circle of fifths shows the relationships among the 12 tones of the chromatic scale, their corresponding key signatures, and the associated major and minor keys.

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