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The frequency data format allows for the precise notation of frequencies that differ from equal temperament. "Frequency data shall be defined in [units] which are fractions of a semitone. The frequency range starts at MIDI note 0, C = 8.1758 Hz, and extends above MIDI note 127, G = 12543.854 Hz.
The musical note frequency calculation formula is used: F=(2^12/n)*440, where n equals the number of positive or negative steps away from the base note of A4(440 hertz) and F equals the frequency. The formula is used in calculating the frequency of each note in the piece. The values are then added together and divided by the number of notes.
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The frequency of a pitch is derived by multiplying (ascending) or dividing (descending) the frequency of the previous pitch by the twelfth root of two (approximately 1.059463). [1] [2] For example, to get the frequency one semitone up from A 4 (A ♯ 4), multiply 440 Hz by the twelfth root of two.
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Frequency domain, polyphonic detection is possible, usually utilizing the periodogram to convert the signal to an estimate of the frequency spectrum [4].This requires more processing power as the desired accuracy increases, although the well-known efficiency of the FFT, a key part of the periodogram algorithm, makes it suitably efficient for many purposes.
Zettlr is a free and open-source note-taking application that works with Markdown files. [1] Files may be exported and imported from a variety of different formats using an integration with Pandoc, whilst integration with reference managers allows for insertion of citations into documents.