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GeoGebra
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Opsummering
The Geometry of Music
Musical Harmony from First Principles
Pythagorean, Just, and Equal Tempered Scales
Euclidean Rhythms, Even Distribution, and Bjorklund's Algorithm
Keyboards in Geogebra
The Geometry of Music
Forfatter
Steve Bleiler
Emne:
Geometri
An exploration of musical scales, temperament, and algorithmic keyboard design.
Indholdsfortegnelse
Musical Harmony from First Principles
The Basic Sine Wave
Build a Sound Wave
Dyadic Harmony in the Plane
Visualize Two Note Harmonies with Lissajous Diagrams
Visualize 3 Note Chords with Lissajous Diagrams in 3-D
The Chordal Spirograph
Hearing Just Intervals
Hearing 3 Note Just Chords
Pythagorean, Just, and Equal Tempered Scales
Just Scale
Pythagorean Scale
Equal Tempered Scales
Contrasting Chords in Different Temperaments
Circle of Chords in n-ET
Extended Chords
Euclidean Rhythms, Even Distribution, and Bjorklund's Algorithm
A Drum Machine for Euclidean Rhythms
Even Distribution and Euclidean Rhythms
Generating All Euclidean Rhythms
Keyboards in Geogebra
Generalized Equal Tempered Keyboard
Euclidean Equal Tempered Keyboard
An Hexagonal Just Lattice Keyboard
An Hexagonal Just Lattice Keyboard
A Playable 5-Limit Tonality Diamond
A Playable n-limit Tonality Diamond
The Virtual Tonal Plexus
Næste
The Basic Sine Wave
Nye Materialer
Rolling a Square
bewijs stelling van Pythagoras
Open Education 2026
Parallel lines, Transversals and Segments
Cartesian Notation of a Vector
Opdag Ressourcer
Properties of a trapezoid.
Verification Problem Example
AM42EB1_LC_DEMO_CH13_010_First Principals
Rombo
Klokke manuell digital analog uttale
Udforsk emner
Plan
Omskreven cirkel
Trigonometriske funktioner
Histogram
Matematik
