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綱要
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
作者：
Steve Bleiler
主題：
幾何
An exploration of musical scales, temperament, and algorithmic keyboard design.
目錄
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
下一步
The Basic Sine Wave
最新資源
What Do You See?
Squares Question
What Do You See? (2)
Perpendicular Lines: Quick Exploration
גיליון אלקטרוני להעלאת נתוני בעיה ויצירת גרף בהתאם
探索資源
Test app
الانعكاس حول مستقيمين متقاطعين
Geogebra Spreadsheet Demo
POOL
探索主題
冪函數
圓錐曲線
乘法
相似三角形
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