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- Constant_spectrum_melody abstract "A constant timbre at a constant pitch is characterized by a spectrum.Along a piece of music, the spectrum measured within a narrow time window varies with the melody and the possible effects of instruments.Therefore, it may seem paradoxical that a constant spectrum can be perceived as a melody rather than a stamp.The paradox is that the ear is not an abstract spectrograph: it "calculates" the Fourier transform of the sound signal in a narrow time window, but the slower variations are seen as temporal evolution and not as pitch.However, the example of paradoxical melody above contains no infrasound (i.e. pure tone of period slower than the time window) !The second paradox is that when two pitches are very close, they create a beat. If the period of this beat is longer than the integration window, it is seen as a sinusoidal variation in the average rating: sin(2π(f+ε)t) + sin(2π(f-ε)t) = sin(2πft)cos(2πεt), where 1/ε is the slow period.The present spectrum is made of multiple frequencies beating together, resulting in a superimposition of various pitches fading in and out at different moments and pace, thus forming the melody.".
- Constant_spectrum_melody thumbnail SpectreParadoxalZ.png?width=300.
- Constant_spectrum_melody wikiPageID "39293555".
- Constant_spectrum_melody wikiPageLength "2172".
- Constant_spectrum_melody wikiPageOutDegree "15".
- Constant_spectrum_melody wikiPageRevisionID "637065954".
- Constant_spectrum_melody wikiPageWikiLink Audio_signal.
- Constant_spectrum_melody wikiPageWikiLink Auditory_illusion.
- Constant_spectrum_melody wikiPageWikiLink Beat_(acoustics).
- Constant_spectrum_melody wikiPageWikiLink Category:Melody.
- Constant_spectrum_melody wikiPageWikiLink Category:Perception.
- Constant_spectrum_melody wikiPageWikiLink Category:Sound.
- Constant_spectrum_melody wikiPageWikiLink Fourier_transform.
- Constant_spectrum_melody wikiPageWikiLink Frequency_spectrum.
- Constant_spectrum_melody wikiPageWikiLink Musical_acoustics.
- Constant_spectrum_melody wikiPageWikiLink Shepard_tone.
- Constant_spectrum_melody wikiPageWikiLink Sound_signal.
- Constant_spectrum_melody wikiPageWikiLink Spectral_density.
- Constant_spectrum_melody wikiPageWikiLink Spectral_music.
- Constant_spectrum_melody wikiPageWikiLink Spectrogram.
- Constant_spectrum_melody wikiPageWikiLink Timbre.
- Constant_spectrum_melody wikiPageWikiLink File:ConstantSpectrumMelody.ogg.
- Constant_spectrum_melody wikiPageWikiLink File:SpectreParadoxalZ.png.
- Constant_spectrum_melody wikiPageWikiLinkText "constant spectrum melody".
- Constant_spectrum_melody hasPhotoCollection Constant_spectrum_melody.
- Constant_spectrum_melody wikiPageUsesTemplate Template:Auditory_illusions.
- Constant_spectrum_melody wikiPageUsesTemplate Template:Multiple_issues.
- Constant_spectrum_melody wikiPageUsesTemplate Template:Portal.
- Constant_spectrum_melody subject Category:Melody.
- Constant_spectrum_melody subject Category:Perception.
- Constant_spectrum_melody subject Category:Sound.
- Constant_spectrum_melody type Concept.
- Constant_spectrum_melody type Process.
- Constant_spectrum_melody comment "A constant timbre at a constant pitch is characterized by a spectrum.Along a piece of music, the spectrum measured within a narrow time window varies with the melody and the possible effects of instruments.Therefore, it may seem paradoxical that a constant spectrum can be perceived as a melody rather than a stamp.The paradox is that the ear is not an abstract spectrograph: it "calculates" the Fourier transform of the sound signal in a narrow time window, but the slower variations are seen as temporal evolution and not as pitch.However, the example of paradoxical melody above contains no infrasound (i.e. ".
- Constant_spectrum_melody label "Constant spectrum melody".
- Constant_spectrum_melody sameAs Mélodie_de_spectre_constant.
- Constant_spectrum_melody sameAs m.0t_frqc.
- Constant_spectrum_melody sameAs Q12681136.
- Constant_spectrum_melody sameAs Q12681136.
- Constant_spectrum_melody wasDerivedFrom Constant_spectrum_melody?oldid=637065954.
- Constant_spectrum_melody depiction SpectreParadoxalZ.png.
- Constant_spectrum_melody isPrimaryTopicOf Constant_spectrum_melody.