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- Fundamental_frequency abstract "The fundamental frequency, often referred to simply as the fundamental, is defined as the lowest frequency of a periodic waveform. In terms of a superposition of sinusoids (e.g. Fourier series), the fundamental frequency is the lowest frequency sinusoidal in the sum. In some contexts, the fundamental is usually abbreviated as f0 (or FF), indicating the lowest frequency counting from zero. In other contexts, it is more common to abbreviate it as f1, the first harmonic. (The second harmonic is then f2 = 2⋅f1, etc. In this context, the zeroth harmonic would be 0 Hz.)All sinusoidal and many non-sinusoidal waveforms are periodic, which is to say they repeat exactly over time. A single period is thus the smallest repeating unit of a signal, and one period describes the signal completely. We can show a waveform is periodic by finding some period T for which the following equation is true:Where x(t) is the function of the waveform.This means that for multiples of some period T the value of the signal is always the same. The least possible value of T for which this is true is called the fundamental period and the fundamental frequency (f0) is:Where f0 is the fundamental frequency and T is the fundamental period.For a tube of length L with one end closed and the other end open the wavelength of the fundamental harmonic is 4L, as indicated by the top two animations on the right. Hence,Therefore, using the relation,where v is the speed of the wave, we can find the fundamental frequency in terms of the speed of the wave and the length of the tube:If the ends of the same tube are now both closed or both opened as in the bottom two animations on the right, the wavelength of the fundamental harmonic becomes 2L. By the same method as above, the fundamental frequency is found to beAt 20 °C (68 °F) the speed of sound in air is 343 m/s (1129 ft/s). This speed is temperature dependent and does increase at a rate of 0.6 m/s for each degree Celsius increase in temperature (1.1 ft/s for every increase of 1 °F).The velocity of a sound wave at different temperatures:-v = 343.2 m/s at 20 °Cv = 331.3 m/s at 0 °C↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑".
- Fundamental_frequency thumbnail Harmonic_partials_on_strings.svg?width=300.
- Fundamental_frequency wikiPageID "11490".
- Fundamental_frequency wikiPageRevisionID "598798666".
- Fundamental_frequency hasPhotoCollection Fundamental_frequency.
- Fundamental_frequency subject Category:Acoustics.
- Fundamental_frequency subject Category:Fourier_analysis.
- Fundamental_frequency subject Category:Musical_tuning.
- Fundamental_frequency comment "The fundamental frequency, often referred to simply as the fundamental, is defined as the lowest frequency of a periodic waveform. In terms of a superposition of sinusoids (e.g. Fourier series), the fundamental frequency is the lowest frequency sinusoidal in the sum. In some contexts, the fundamental is usually abbreviated as f0 (or FF), indicating the lowest frequency counting from zero. In other contexts, it is more common to abbreviate it as f1, the first harmonic.".
- Fundamental_frequency label "Frecuencia fundamental".
- Fundamental_frequency label "Frequenza fondamentale".
- Fundamental_frequency label "Frequência fundamental".
- Fundamental_frequency label "Fréquence fondamentale".
- Fundamental_frequency label "Fundamental frequency".
- Fundamental_frequency label "Grondtoon (natuurkunde)".
- Fundamental_frequency label "Grundfrequenz".
- Fundamental_frequency label "Ton podstawowy".
- Fundamental_frequency label "基本周波数".
- Fundamental_frequency label "基本頻率".
- Fundamental_frequency sameAs Grundfrequenz.
- Fundamental_frequency sameAs Θεμελιώδης_συχνότητα.
- Fundamental_frequency sameAs Frecuencia_fundamental.
- Fundamental_frequency sameAs Fréquence_fondamentale.
- Fundamental_frequency sameAs Frekuensi_dasar.
- Fundamental_frequency sameAs Frequenza_fondamentale.
- Fundamental_frequency sameAs 基本周波数.
- Fundamental_frequency sameAs Grondtoon_(natuurkunde).
- Fundamental_frequency sameAs Ton_podstawowy.
- Fundamental_frequency sameAs Frequência_fundamental.
- Fundamental_frequency sameAs m.031m3.
- Fundamental_frequency sameAs Q1331774.
- Fundamental_frequency sameAs Q1331774.
- Fundamental_frequency wasDerivedFrom Fundamental_frequency?oldid=598798666.
- Fundamental_frequency depiction Harmonic_partials_on_strings.svg.
- Fundamental_frequency isPrimaryTopicOf Fundamental_frequency.