MUSIC THEORY FOR MUSICIANS AND NORMAL PEOPLE

Toby Rush provides easy-to-read, individual music theory pages to help learn, teach, and brush up music theory concepts. 

Sevenths

http://tobyrush.com/theorypages/en-uk/index.html

MUSICTHEORY.NET

Musictheory.net offers a number of helpful calulators and utilities including:

•Accidental Calculator

•Interval Calculator

•Chords Calculator

•Analysis Caluclator

•Tempo Tapper

•Staff Paper Generator

AXIS SYSTEM

Axis system is none other than the recognition of the fact that the tonic A and E(see sketch above) not only have C as a common relative, but also the F# or Gb degree. Likewise the common relative, between the subdominant D and Ab is not only F, but also the B. Finally, G and C# (or Db) equally the common relatives of the dominant E and Bdegrees:

www.mi.sanu.ac.rs/vismath/lends/ch1.htm

CREATIVE CHORD PROGRESSIONS

Do you want your songs to take off in surprising directions, avoid cliches, and bypass the tried-and-true?

Welcome to Milo Ippolito's unschooled approach to music theory and composition.

spinditty.com/learning/disharmony

THE SACRED GEOMETRY OF MUSIC

You can think of music just like time. The clock is a circle divided evenly into twelve hours. An octave of music is divided evenly into twelve semitones. Therefore, if you assign the twelve semitones of an octave of music to the twelve numbers on the clock, and draw a line from each number to each other number, you have a harmonisphere. The clock measures time clockwise forward and counterclockwise backward. The harmonisphere measures musical intervals clockwise up in pitch and counterclockwise down in pitch. The lines on the harmonisphere each measure the harmony (and the interval) between the two notes that it joins.

 
               Clock                             Harmonisphere  

The mathematics of the harmonisphere are amazing. It is all about symmetry and mirrored pairs. Each line on the harmonisphere measures two intervals, depending upon which note is on top. The line that measures up a minor third (three semitones) also measures down a major sixth (nine semitones).

The mirrored pairs are:

Minor 2nd - Major 7th
Major 2nd - Minor 7th
Minor 3rd - Major 6th
Major 3rd - Minor 6th
Perfect 4th - Perfect 5th
The diminished 5th is it’s own mirrored image. In fact, the diminished 5th is the mirror.

 

Find out more about the Sacred Geometry of Music at www.harmonisphere.com/SacredGeometryOfMusic.htm