Thus, the deviation corresponds to -14 cent, as given in the last column of Table 1. The minus sign means that the major third in the 7TJM scale is flatter (lower in frequency) than that in 12TET.ĭoing a similar calculation for E (the fifth, which is seven semitones above the root) one finds that its frequency should be 659.2 Hz in 12TET, which is 2 cent below the 7TJM value. Or, in other words, the 7TJM perfect fifth is 2 cent sharper (higher in frequency) than the 12TET value, as also given in Table 1. Most musical instruments today are tuned to what is called 12-tone equal temperament (12TET) using a reference frequency (pitch) of A4 = 440 Hz (1 Hz = 1 Hertz = one cycle of oscillation per second). This intonation (tuning scheme) is a common standard that ensures that different instruments sound good together and that each instrument sounds reasonably good independent of which key it is played in.ġ2TET is characterized by (1) a doubling of the frequency for each octave and (2) a division of the octave in twelve equal steps – semitones. The first property is common to most tuning schemes. The second property means that a semitone step increases the frequency with a certain factor x and if this is repeated 12 times one reaches a doubling of the frequency: Introduction 1.1 Twelve-tone equal temperament Just intonation for natural minor diatonic harmonicasġ. Hohner Classic Marine Band and Special 20.Other tuning schemes for major diatonic harmonicas.Just intonation for major diatonic harmonicas.An example of a seven-tone just major scale.( Click on a heading to get directly to that section.) hand-held devices): This page is best viewed in landscape orientation since some of the tables are quite wide. For visitors with low-resolution screens (e.g.Page last updated: (see revision history at the end).
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