PHYS 1240 Lecture Notes - Lecture 10: Equal Temperament, Inharmonicity
9 Nov 2018
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Every note is related by a factor of (2)^1/12 to its next half-step (the adjacent note) interval. We could take half steps as 440 hz/12=36. 67 hz, so it would go . Go up 12 fifths then go down 7 octaves- this should land you on the note you started with, but it"ll be a little bit off because 3/2 is not exactly perfect. Fixes tuning anomalies at a cost of lack of perfectness of the intervals. V = sqrt(t/(m/l)) m/l = mass over length of string. A mode is a pattern of motion in which all parts of the system move sinusoidally with the same frequency. Partials- the first four natural modes of a thin bar and their frequencies. The word partials is reserved for cases where the natural modes are inharmonic (not harmonic) Natural modes of vibration- things that bend and spring back will exhibit natural modes of vibration (elastic objects) Natural mode- the pattern of a particular vibration.
