Frequency - Revision history

Hkm: we live in three-dimensional space

2025-03-14T18:42:50Z

we live in three-dimensional space

← Older revision		Revision as of 18:42, 14 March 2025
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	}}		}}
	{{Wikipedia}}		{{Wikipedia}}
	Sound is created through air pressure waves—concentric ~~circular~~ regions emanating from the sound-creating object of high pressure and low pressure, which travel at the speed of sound while the object generates more pressure waves. In music, the '''frequency''' of a sound is equal to the frequency of the sine wave that represents the same pitch, where the frequency of the sine wave is measured in the number of times per second high pressure is sensed. Notes with high frequency sound high, and notes with low frequency sound low. Middle C, roughly in the center of the piano, has a frequency of about 255 [[Hertz]] (abbreviated Hz), or oscillations per second, while human hearing range is from about 20 to 20,000 Hz.		Sound is created through air pressure waves—concentric spherical regions emanating from the sound-creating object of high pressure and low pressure, which travel at the speed of sound while the object generates more pressure waves. In music, the '''frequency''' of a sound is equal to the frequency of the sine wave that represents the same pitch, where the frequency of the sine wave is measured in the number of times per second high pressure is sensed. Notes with high frequency sound high, and notes with low frequency sound low. Middle C, roughly in the center of the piano, has a frequency of about 255 [[Hertz]] (abbreviated Hz), or oscillations per second, while human hearing range is from about 20 to 20,000 Hz.

	If an instrument generates a single note, when pressure at a given point near the instrument is graphed, the resulting graph<ref>By taking the [[wikipedia:Fourier_transform\|Fourier transform]].</ref> is a sum of sine waves of various levels of frequency and amplitude. The frequency of the lowest sine wave is generally perceived as the frequency of a sound, even if this sine wave does not have the largest amplitude. The entire list of frequencies together with their amplitudes is called the '''frequency spectrum''', and differences in frequency spectra cause different instruments to sound different even if they are playing the same pitch.		If an instrument generates a single note, when pressure at a given point near the instrument is graphed, the resulting graph<ref>By taking the [[wikipedia:Fourier_transform\|Fourier transform]].</ref> is a sum of sine waves of various levels of frequency and amplitude. The frequency of the lowest sine wave is generally perceived as the frequency of a sound, even if this sine wave does not have the largest amplitude. The entire list of frequencies together with their amplitudes is called the '''frequency spectrum''', and differences in frequency spectra cause different instruments to sound different even if they are playing the same pitch.

Hkm: /* Intervals and concordance */

2025-03-14T16:41:37Z

Intervals and concordance

← Older revision		Revision as of 16:41, 14 March 2025
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	[[Category:Terms]]		[[Category:Terms]]
	== Intervals and concordance ==		== Intervals and concordance ==
	When two notes are played at once where their frequency spectra share a high-amplitude frequency, these two notes sound concordant when played together. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) they will sound concordant when ~~they have frequencies a and b where b/a~~ is ~~rational~~. ~~In this case, they~~ are related by the [[just intonation]] interval b/a, ~~and~~ the frequency they share lies at [[Lcm\|LCM]](a, b).		When two notes have frequencies a:b where b/a is rational, the interval between the two notes is within [[Just intonation]] and denoted b/a.

			When two notes are played at once where their frequency spectra share a high-amplitude frequency, these two notes sound concordant when played together. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) they will sound concordant when the interval between them is within just intonation (especially if the just-intonation ratio is low complexity). If these two notes are related by the [[just intonation]] interval b/a, then the frequency they share lies at [[Lcm\|LCM]](a, b).

	== References ==		== References ==
	<references />		<references />

Hkm: /* Intervals and concordance */

2025-03-14T16:37:45Z

Intervals and concordance

← Older revision		Revision as of 16:37, 14 March 2025
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	[[Category:Terms]]		[[Category:Terms]]
	== Intervals and concordance ==		== Intervals and concordance ==
	When two notes are played at once where their frequency spectra share a high-amplitude frequency, these two notes sound ~~pleasant~~ when played together. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) they will sound concordant when they have frequencies a and b where b/a is rational. In this case, they are related by the [[just intonation]] interval b/a, and the frequency they share lies at [[Lcm\|LCM]](a, b).		When two notes are played at once where their frequency spectra share a high-amplitude frequency, these two notes sound concordant when played together. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) they will sound concordant when they have frequencies a and b where b/a is rational. In this case, they are related by the [[just intonation]] interval b/a, and the frequency they share lies at [[Lcm\|LCM]](a, b).

	== References ==		== References ==
	<references />		<references />

Hkm: /* Intervals and concordance */

2025-03-14T16:36:50Z

Intervals and concordance

← Older revision		Revision as of 16:36, 14 March 2025
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	[[Category:Terms]]		[[Category:Terms]]
	== Intervals and concordance ==		== Intervals and concordance ==
	When two notes are played at once where their frequency spectra share a high-amplitude frequency, these two notes sound pleasant when played together. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) they will sound concordant when they have frequencies a and b where b/a is rational. In this case, they are related by the [[just intonation]]~~<nowiki/>~~interval b/a, and the frequency they share lies at [[Lcm\|LCM]](a, b).		When two notes are played at once where their frequency spectra share a high-amplitude frequency, these two notes sound pleasant when played together. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) they will sound concordant when they have frequencies a and b where b/a is rational. In this case, they are related by the [[just intonation]] interval b/a, and the frequency they share lies at [[Lcm\|LCM]](a, b).

	== References ==		== References ==
	<references />		<references />

Hkm: /* Intervals and concordance */

2025-03-14T16:36:30Z

Intervals and concordance

← Older revision		Revision as of 16:36, 14 March 2025
Line 12:		Line 12:
	[[Category:Terms]]		[[Category:Terms]]
	== Intervals and concordance ==		== Intervals and concordance ==
	When two notes are played at once where their frequency spectra share a high-amplitude frequency, these two notes sound pleasant when played together. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) they will sound concordant when they have frequencies a and b where b/a is rational. In this case, the frequency they share lies at [[Lcm\|LCM]](a, b).		When two notes are played at once where their frequency spectra share a high-amplitude frequency, these two notes sound pleasant when played together. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) they will sound concordant when they have frequencies a and b where b/a is rational. In this case, they are related by the [[just intonation]]<nowiki/>interval b/a, and the frequency they share lies at [[Lcm\|LCM]](a, b).

	== References ==		== References ==
	<references />		<references />

Hkm at 16:28, 14 March 2025

2025-03-14T16:28:15Z

← Older revision		Revision as of 16:28, 14 March 2025
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	[[Category:Terms]]		[[Category:Terms]]
	== Intervals and concordance ==		== Intervals and concordance ==
	When two notes are played at once where their frequency spectra share a high-amplitude frequency, these two notes sound pleasant when played together. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) they will sound concordant when they have frequencies a and b where b/a is rational. In this case, the frequency they share lies at [[Lcm\|LCM]](a, b).<references />		When two notes are played at once where their frequency spectra share a high-amplitude frequency, these two notes sound pleasant when played together. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) they will sound concordant when they have frequencies a and b where b/a is rational. In this case, the frequency they share lies at [[Lcm\|LCM]](a, b).

			== References ==
			<references />

Hkm at 16:07, 14 March 2025

2025-03-14T16:07:58Z

← Older revision		Revision as of 16:07, 14 March 2025
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	}}		}}
	{{Wikipedia}}		{{Wikipedia}}
	Sound is created through air pressure waves—concentric circular regions emanating from the sound-creating object of high pressure and low pressure. In music, the '''frequency''' of a sound is equal to the frequency of the sine wave that represents the same pitch, where the frequency of the sine wave is measured in the number of times per second high pressure is sensed. Notes with high frequency sound high, and notes with low frequency sound low. Middle C, roughly in the center of the piano, has a frequency of about 255 [[Hertz]] (abbreviated Hz), or oscillations per second, while human hearing range is from about 20 to 20,000 Hz.		Sound is created through air pressure waves—concentric circular regions emanating from the sound-creating object of high pressure and low pressure, which travel at the speed of sound while the object generates more pressure waves. In music, the '''frequency''' of a sound is equal to the frequency of the sine wave that represents the same pitch, where the frequency of the sine wave is measured in the number of times per second high pressure is sensed. Notes with high frequency sound high, and notes with low frequency sound low. Middle C, roughly in the center of the piano, has a frequency of about 255 [[Hertz]] (abbreviated Hz), or oscillations per second, while human hearing range is from about 20 to 20,000 Hz.

	If an instrument generates a single note, when pressure at a given point near the instrument is graphed, the resulting graph<ref>By taking the [[wikipedia:Fourier_transform\|Fourier transform]].</ref> is a sum of sine waves of various levels of frequency and amplitude. The frequency of the lowest sine wave is generally perceived as the frequency of a sound, even if this sine wave does not have the largest amplitude. The entire list of frequencies together with their amplitudes is called the '''frequency spectrum''', and differences in frequency spectra cause different instruments to sound different even if they are playing the same pitch.		If an instrument generates a single note, when pressure at a given point near the instrument is graphed, the resulting graph<ref>By taking the [[wikipedia:Fourier_transform\|Fourier transform]].</ref> is a sum of sine waves of various levels of frequency and amplitude. The frequency of the lowest sine wave is generally perceived as the frequency of a sound, even if this sine wave does not have the largest amplitude. The entire list of frequencies together with their amplitudes is called the '''frequency spectrum''', and differences in frequency spectra cause different instruments to sound different even if they are playing the same pitch.

Hkm at 15:59, 14 March 2025

2025-03-14T15:59:49Z

← Older revision		Revision as of 15:59, 14 March 2025
Line 4:		Line 4:
	}}		}}
	{{Wikipedia}}		{{Wikipedia}}
	Sound is created through air pressure waves—concentric circular regions emanating from the sound-creating object of high pressure and low pressure. In music, the '''frequency''' of a sound is equal to the frequency of the sine wave that represents the same pitch, where the frequency of the sine wave is measured in the number of times per second ~~the object emanating it generates~~ high pressure. Notes with high frequency sound high, and notes with low frequency sound low. Middle C, roughly in the center of the piano, has a frequency of about 255 [[Hertz]] (abbreviated Hz), or oscillations per second, while human hearing range is from about 20 to 20,000 Hz.		Sound is created through air pressure waves—concentric circular regions emanating from the sound-creating object of high pressure and low pressure. In music, the '''frequency''' of a sound is equal to the frequency of the sine wave that represents the same pitch, where the frequency of the sine wave is measured in the number of times per second high pressure is sensed. Notes with high frequency sound high, and notes with low frequency sound low. Middle C, roughly in the center of the piano, has a frequency of about 255 [[Hertz]] (abbreviated Hz), or oscillations per second, while human hearing range is from about 20 to 20,000 Hz.

	If an instrument generates a single note, when pressure at a given point near the instrument is graphed, the resulting graph<ref>By taking the [[wikipedia:Fourier_transform\|Fourier transform]].</ref> is a sum of sine waves of various levels of frequency and amplitude. The frequency of the lowest sine wave is generally perceived as the frequency of a sound, even if this sine wave does not have the largest amplitude. The entire list of frequencies together with their amplitudes is called the '''frequency spectrum''', and differences in frequency spectra cause different instruments to sound different even if they are playing the same pitch.		If an instrument generates a single note, when pressure at a given point near the instrument is graphed, the resulting graph<ref>By taking the [[wikipedia:Fourier_transform\|Fourier transform]].</ref> is a sum of sine waves of various levels of frequency and amplitude. The frequency of the lowest sine wave is generally perceived as the frequency of a sound, even if this sine wave does not have the largest amplitude. The entire list of frequencies together with their amplitudes is called the '''frequency spectrum''', and differences in frequency spectra cause different instruments to sound different even if they are playing the same pitch.

Hkm: em dash

2025-03-14T15:56:33Z

em dash

← Older revision		Revision as of 15:56, 14 March 2025
Line 4:		Line 4:
	}}		}}
	{{Wikipedia}}		{{Wikipedia}}
	Sound is created through air pressure ~~waves--concentric~~ circular regions emanating from the sound-creating object of high pressure and low pressure. In music, the '''frequency''' of a sound is equal to the frequency of the sine wave that represents the same pitch, where the frequency of the sine wave is measured in the number of times per second the object emanating it generates high pressure. Notes with high frequency sound high, and notes with low frequency sound low. Middle C, roughly in the center of the piano, has a frequency of about 255 [[Hertz]] (abbreviated Hz), or oscillations per second, while human hearing range is from about 20 to 20,000 Hz.		Sound is created through air pressure waves—concentric circular regions emanating from the sound-creating object of high pressure and low pressure. In music, the '''frequency''' of a sound is equal to the frequency of the sine wave that represents the same pitch, where the frequency of the sine wave is measured in the number of times per second the object emanating it generates high pressure. Notes with high frequency sound high, and notes with low frequency sound low. Middle C, roughly in the center of the piano, has a frequency of about 255 [[Hertz]] (abbreviated Hz), or oscillations per second, while human hearing range is from about 20 to 20,000 Hz.

	If an instrument generates a single note, when pressure at a given point near the instrument is graphed, the resulting graph<ref>By taking the [[wikipedia:Fourier_transform\|Fourier transform]].</ref> is a sum of sine waves of various levels of frequency and amplitude. The frequency of the lowest sine wave is generally perceived as the frequency of a sound, even if this sine wave does not have the largest amplitude. The entire list of frequencies together with their amplitudes is called the '''frequency spectrum''', and differences in frequency spectra cause different instruments to sound different even if they are playing the same pitch.		If an instrument generates a single note, when pressure at a given point near the instrument is graphed, the resulting graph<ref>By taking the [[wikipedia:Fourier_transform\|Fourier transform]].</ref> is a sum of sine waves of various levels of frequency and amplitude. The frequency of the lowest sine wave is generally perceived as the frequency of a sound, even if this sine wave does not have the largest amplitude. The entire list of frequencies together with their amplitudes is called the '''frequency spectrum''', and differences in frequency spectra cause different instruments to sound different even if they are playing the same pitch.

Hkm: add concordance material that was previously deleted

2025-03-14T15:53:06Z

add concordance material that was previously deleted

← Older revision		Revision as of 15:53, 14 March 2025
Line 6:		Line 6:
	Sound is created through air pressure waves--concentric circular regions emanating from the sound-creating object of high pressure and low pressure. In music, the '''frequency''' of a sound is equal to the frequency of the sine wave that represents the same pitch, where the frequency of the sine wave is measured in the number of times per second the object emanating it generates high pressure. Notes with high frequency sound high, and notes with low frequency sound low. Middle C, roughly in the center of the piano, has a frequency of about 255 [[Hertz]] (abbreviated Hz), or oscillations per second, while human hearing range is from about 20 to 20,000 Hz.		Sound is created through air pressure waves--concentric circular regions emanating from the sound-creating object of high pressure and low pressure. In music, the '''frequency''' of a sound is equal to the frequency of the sine wave that represents the same pitch, where the frequency of the sine wave is measured in the number of times per second the object emanating it generates high pressure. Notes with high frequency sound high, and notes with low frequency sound low. Middle C, roughly in the center of the piano, has a frequency of about 255 [[Hertz]] (abbreviated Hz), or oscillations per second, while human hearing range is from about 20 to 20,000 Hz.

	If an instrument generates a single note, when pressure at a given point near the instrument is graphed, the resulting graph<ref>By taking the [[wikipedia:Fourier_transform\|Fourier transform]].</ref> is a sum of sine waves of various levels of frequency and amplitude. The frequency of the lowest sine wave is generally perceived as the frequency of a sound, even if this sine wave does not have the largest amplitude. The entire list of frequencies is called the '''frequency spectrum'''.		If an instrument generates a single note, when pressure at a given point near the instrument is graphed, the resulting graph<ref>By taking the [[wikipedia:Fourier_transform\|Fourier transform]].</ref> is a sum of sine waves of various levels of frequency and amplitude. The frequency of the lowest sine wave is generally perceived as the frequency of a sound, even if this sine wave does not have the largest amplitude. The entire list of frequencies together with their amplitudes is called the '''frequency spectrum''', and differences in frequency spectra cause different instruments to sound different even if they are playing the same pitch.

			Frequency is different from [[pitch]], because multiplications in frequency translate to additions in pitch; successive octaves are equally spaced in pitch, but exponentially increasing in frequency.
	[[Category:Tuning]]		[[Category:Tuning]]
	[[Category:Terms]]		[[Category:Terms]]
	~~Frequency is different from [[pitch]], because multiplications in frequency translate to additions in pitch; successive octaves are equally spaced in pitch, but exponentially increasing in frequency.~~		== Intervals and concordance ==
			When two notes are played at once where their frequency spectra share a high-amplitude frequency, these two notes sound pleasant when played together. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) they will sound concordant when they have frequencies a and b where b/a is rational. In this case, the frequency they share lies at [[Lcm\|LCM]](a, b).<references />
	== Intervals ==
	When two notes ~~have frequencies a:b~~ where b/a ~~is rational~~, ~~the interval between the~~ two notes ~~is within [[Just intonation]] and denoted b/a~~. If the two notes have frequency spectra where all non-negligible frequencies are multiples of the lowest frequency (as is the case with most methods of sound production, including the human voice, most instruments, and square/saw/triangle waves) ~~the two notes~~ will sound concordant when ~~played~~ at ~~once~~.
	<references />