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University of Tennessee: The Prime Pages
Here you can find a detailed searchable database of the 5000 largest known primes! Content also includes a glossary, a top 10 records list, prime-music, programs, free downloads, and much more!
University of St. Andrews (UK)
University of St. Andrews: Leonhard Euler
Lengthy biography of Euler that sets him in relationship with his contemporaries in mathematics and physics. Several quotes and pictures available, as well as links to relevant mathematical topics. A terrific site.
OpenStax
Open Stax: Catherine Schmidt Jones: Keys and Scales Are Sets
Help your students identify sets and intersections of sets with this musical activity. Using the concept of key signatures, students will learn that scales are sets of notes. Included with this lesson plan are downloadable worksheets and...
Walter Fendt
Walter Fendt: Apps Zur Physik
This site, in German, offers numerous apps that illustrate common physics principles. Apps are organized into categories: mechanics, oscillations and waves, electrodynamics, optics, thermodynamics, the theory of relativity, physics of...
Other
Harmonic Analysis of Chopin's Prelude #8
This analysis is well done with clear diagrams, concise text and online sound clips. Also available in Spanish.
Open Curriculum
Open Curriculum: An Introduction to Counterpoint
To introduce the concept of counterpoint and define related terms
Open Curriculum
Open Curriculum: Beginning Harmonic Analysis
To introduce harmonic analysis of chords and provide an overview of the relationship of chords, keys, and triads
Open Curriculum
Open Curriculum: Beyond Triads: Naming Other Chords
To explain how to name common chords based on the relationship to the tonic of the note in the chord
Open Curriculum
Open Curriculum: Ear Training
To define the components of ear training and suggestions for developing ear training skills
Open Curriculum
Open Curriculum: Frequency, Wavelength, and Pitch
To provide an overview of the relationship between frequency, wavelength, and pitch
Open Curriculum
Open Curriculum: Half Steps and Whole Steps
To explain the pitch of a note and how it can be measured with either half steps or whole steps
Open Curriculum
Open Curriculum: Harmonic Series: Harmonics, Intervals, and Instruments
To demonstrate how the harmonic series can illustrate the relationship between frequency and interval and the harmonic series
Open Curriculum
Open Curriculum: Harmonic Series: Timbre and Octaves
To explain the octaves and timbre of a note originating from the harmonic series
Open Curriculum
Open Curriculum: Interval
To explain the concept of intervals and how to distinguish and classify the various intervals
Open Curriculum
Open Curriculum: Introduction to Chords
To understand the concepts of chords and the different types of chords
Open Curriculum
Open Curriculum: Minor Keys and Scales
To discuss the interval patter of minor scales and their difference from major scales
Open Curriculum
Open Curriculum: Modes
To learn about the concept of modes and how they can be derived
Open Curriculum
Open Curriculum: Naming Triads
To explain how different chords are named based on their position
Open Curriculum
Open Curriculum: The Circle of Fifths
To understand the circle of fifths and to identify key signatures, related keys and order of sharps and flats in key signatures using circle of fifths
Open Curriculum
Open Curriculum: Transposing Instruments
To understand transposing instruments, their purpose, and to provide examples of transposing instruments
Open Curriculum
Open Curriculum: Transposition: Changing Keys
To provide an overview of transposition and examples of its use
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