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# Links Provided By Bruce Arnold Foundation

Sonic Twist® Bruce Arnold Artist Site Muse Eek Publishing Jam Tracks Bruce Arnold Foundation Contextual Ear Training® MetroDrone™ Guitar Intensive Workshop Key to Your Kingdom Ear Training Michal Shapiro Music Education Music Performance and Technology New Vision Music App Pentatonic Scales Poetry and Art Books Practice Perfect Music Practice That Works Rock Ear Training Scale[…]

# Set Difference

Set Difference in the Musical Context Set difference of U and A, denoted U \ A, is the set of all members of U that are not members of A. The set difference {1,2,3} \ {2,3,4} is {1}, while, conversely, the set difference {2,3,4} \ {1,2,3} is {4} . When A is a subset of[…]

# Set Theory’s Intersection in the Musical Context

The idea of “Intersection” in set theory is a fairly simple concept. Let’s use an example with two separate sets. Example: If you had one set of items, {apple, banana cherry}, and another set of items with {banana, cherry, date, eggplant} the intersection of these sets would be: {banana, cherry}. This is because they both[…]

# The Equal Division of Note Division

The Equal Division of Note Division In musical theory, we symbolize the rhythm of notes based on time and the designated ‘beat value’ in the meter. This article will discuss how dividing musical notes is similar to dividing up numbers. It is important to understand that dividing up notes can also be applied to rests[…]

# Fractions and the Musical Meter

Fractions and the Music Meter In western music, we use something all a meter to define a piece’s rhythmic structure. On staff paper, the meter is placed before the whole piece but after the clef (the clef is used for finding notes, to learn more about clefs click here). The music meter is essential for[…]

# Fractions

Fractions in the Rhythmical Musical Context Understanding fractions is an important conception to have when consulting music. In music fractions are mainly found in rhythm by way of meters, note division, note subdivision, tempo, and harmonic rhythm. Fractions are what allow musicians to simplify rhythm and help to explain why certain rhythmic patterns sound the[…]

# Amplitude in the Musical Context

Amplitude in the Musical Context At the very basic level, sounds of music are made up of primarily two different properties. Both properties are directly related to the vibration of soundwaves. These properties are Frequency and Amplitude. This article will focus on Amplitude. To learn more about Frequency click here. To understand Amplitude, one must[…]

# Using Algebra to Find an Octave’s Pitch

Finding an Octave’s Pitch Algebraically The one consistent interval used in music across all cultures is known as the octave. In music, the octave is known as the interval between one pitch and another that is either half or double its frequency (Hz). For example, if we were to take the pitch of middle C[…]