PHYSICS 109 Lecture Notes - Lecture 9: Baroque Trumpet, Equal Temperament, Fundamental Frequency
Document Summary
Physics 109 - lecture 9 - musical scales day 2. Just scale - frequency ratios that are low-order fractions; the ratios are: The ratios between ratios is 1. 125, 1. 11 (whole tones), and 1. 07 (semitone or half tone) Be able to identify where on a piano there is a half tone or a whole tone interval. Half tone is where there is no black key between two white keys. Whole tone is when there is black key between two white keys. Tempered scale - ratios close but not equal to small denominator fractions. The intervals between adjacent guitar strings for regular tuning. E2 a2: 5 semitones - fourth (4/3) A2 d3: 5 semitones - fourth (4/3) G3 b3: 4 semitones - major third (5/4) B3 e4: 5 semitones - fourth (4/3) Natural scale (aka harmonic series) - tones constructed as multiples of 1 fundamental frequency -- not all harmonics are notes on the diatonic scale.
