37 pages
39 illustrations
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A Mathematician's Music
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A Musician's Mathematics
- Musical Notes as Vibration of Air
Pitch, Vibrational Rate and Frequency
- Harmonics: Multiples of Frequency
Harmonic Tuning
- Harmonic and Even-Tempered Scales
Why Even-Tempering is Necessary
- The Twelve Major and Minor Keys
Scales in the Twelve Keys
- Chords: Multiples of Vibrational Rate
Major, Minor, Augmented, Diminished Chords
in All Twelve Keys
- Staffs and Clefs: Treble, Alto, Tenor, Bass
"MP" Cleff - No Sharps and Flats
- International Standard Frequencies
for All Notes
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