Each note in the ET scale is at a distance of a multiple of 1.0594631 from the previous note. The tuning of the keyboards of Pianos, Organs, Accordions, and Harmoniums is done in this manner. This magic number is the "12th root of 2". This means that when any number is multiplied by this magic number 12 times, the original number will be doubled. (Refer to following table) |
Table shows % distances of every note in Octave (Saptak) as per 12-Tone-Equitempered (ET) Scale (as tuned in Pianos, Synthesizers, Keyboards, Organs, Harmoniums, Accordions) Remember : Multiply Hz frequency of any key by 1.0594631 to get the frequency of next key; and divide to get the frequency of the previous key. From S Take any starting key as S = say 100 Hz Note : All the 12 notes in the Equitempered Scale are "Unnatural". |
Practical Example : Komal Dhaivat of 'A' or Saphet 6 is 'F'. 'A' is 440 Hz. F will be at a distance of Komal Dhaivat i.e., at 58.74%. 440 x 58.74% + = 698.456 Hz.
In ET scale, if we listen to the Shadja and Gandhar (played together) in any key taken as the Shadja, we find that there is no consonance. This is because, the S-G distance in the tempered scale is almost 26% whereas the Natural S-G distance as heard on a Tanpura is a pure 25%. S-P distance in tempered scale is 49.83% whereas the Natural S-P distance as heard on a Tanpura is a pure 50%. Similarly, there are differences in all other notes between the ET scale and the Natural scale.
|
|
Website inaugurated on the 2nd, 3rd February, 2008 by Achyut Godbole, Dr.N.Rajam and Pt. D.K.Datar.
©2008-2018, 22shruti.com | All rights reserved. | Privacy Policy |