MATH SCIENCE MUSIC OF WILLOUGHBY'S DREAM THE MATHEMATICS OF MUSIC HAROMANY

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 O = B , Cb , C flat , 1/2 step , P = C, B# , B sharp ,  1/2 step , Q = C# , C sharp / Db , D flat , 1/2 step , R = D , 1/2 step ,  S = D# , D sharp / Eb , E flat , 1/2 step , T = E , Fb , F flat , 1/2  step , U = F , E# , E sharp , 1/2 step , V = F# , F sharp / Gb , G flat ,  1/2 step , W = G , 1/2 step , X = G# , G sharp / Ab , A flat , 1/2 step , Y = A ,  1/2 step , Z = A# , A sharp / Bb, B flat , 1/2 step , and back to the  beginning ,,,,,,,,,,  Across the top of the CHORDTEACHER is the printed  replica of a 6-stringed guitar fret board, comprising  of 6 horizontal color-coded lines representing the 6 strings of a  guitar, and vertical lines representing the frets. Each fret is  numbered 1-19. All of the chromatic scale notes, the natural notes,  sharps & flats and the Willoughby scale notes are color-coded and  labeled at  the intersections of the strings and frets. Across the bottom of the CHORDTEACHER is the  printed replica of a piano-type musical keyboard with all of the  chromatic notes color-coded and labeled. Above each piano key is printed  the corresponding note of the “Willoughby Scale” of my invention.

The Willoughby Scale adds additional note names to the  Chromatic Note names as follows by renaming each note with the last 12  letters of the alphabet, O P Q R S T U V W X Y Z. Traditionally these  notes are called natural notes, sharps and flats,  
 

: In conclusion, it can be stated that my inventions,  as described herein, present new and useful ways to explore and  practically apply the scientific relationships between music, harmony  and mathematics. The Willoughby Scale eliminates the confusion generated  by the old-school traditional use of sharps and flats in the chromatic  scale by renaming each note with the last 12 letters of the alphabet.