In traditional Indian music, musical notes are called svaras and commonly represented using the seven notes, Sa, Re, Ga, Ma, Pa, Dha and Ni.
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Learn More »Finally, it can be seen from this formula that octaves automatically yield powers of two times the original frequency, since n is a multiple of 12 (12 k , where k is the number of octaves up or down), and so the formula reduces to: f = 2 12 k 12 × 440 Hz = 2 k × 440 Hz {displaystyle f=2^{frac {12k}{12}} imes 440{ ext{ Hz}}=2^{k} imes 440{ ext{ Hz}}} yielding a factor of 2. In fact, this is the means by which this formula is derived, combined with the notion of equally-spaced intervals. The distance of an equally tempered semitone is divided into 100 cents. So 1200 cents are equal to one octave – a frequency ratio of 2:1. This means that a cent is precisely equal to 1200√2, which is approximately 1.000578. For use with the MIDI (Musical Instrument Digital Interface) standard, a frequency mapping is defined by: p = 69 + 12 × log 2 f 440 Hz {displaystyle p=69+12 imes log _{2}{frac {f}{440{ ext{ Hz}}}}} where p is the MIDI note number (and 69 is the number of semitones between C −1 (note 0) and A 4 ). And in the opposite direction, to obtain the frequency from a MIDI note p , the formula is defined as: f = 2 p − 69 12 × 440 Hz {displaystyle f=2^{frac {p-69}{12}} imes 440{ ext{ Hz}}} For notes in an A440 equal temperament, this formula delivers the standard MIDI note number ( p ). Any other frequencies fill the space between the whole numbers evenly. This lets MIDI instruments be tuned accurately in any microtuning scale, including non-western traditional tunings.
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