Harmonics & Temperament - Revision history

Unshod at 15:30, 11 July 2026

2026-07-11T15:30:09Z

← Older revision		Revision as of 11:30, 11 July 2026
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	Harmonics are the natural frequency ratios that make up musical sound, while temperament is the deliberate, human-made spacing of those frequencies.		Harmonics are the natural frequency ratios that make up musical sound, while temperament is the deliberate, human-made spacing of those frequencies.

	None of this matters ~~in fizz~~ because it sucks and ~~it’s~~ better if you don’t restrict yourself to a specific harmonic system (your music will be better).		None of this matters because it sucks and in fizz you’re better and cooler if you don’t restrict yourself to a specific harmonic system (your music will be better).

Unshod: Added the whole friggin thing

2026-07-11T15:28:49Z

Added the whole friggin thing

← Older revision	Revision as of 11:28, 11 July 2026
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		Harmonics are the natural frequency ratios that make up musical sound, while temperament is the deliberate, human-made spacing of those frequencies.

		None of this matters in fizz because it sucks and it’s better if you don’t restrict yourself to a specific harmonic system (your music will be better).

Xenprism: Blanked the page

2026-07-01T21:28:29Z

Blanked the page

← Older revision		Revision as of 17:28, 1 July 2026
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	~~[[File:Metric Harmonics.jpg\|center\|502x502px\|source: ]]~~
	~~<small>(image source: https://general-theory-of-rhythm.org)</small>~~

Xenprism: Replaced content with "source: (image source: https://general-theory-of-rhythm.org)"

2026-07-01T21:27:59Z

Replaced content with "center|502x502px|source: <small>(image source: https://general-theory-of-rhythm.org)</small>"

← Older revision		Revision as of 17:27, 1 July 2026
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	Harmonics are just as present in rhythm as in harmony: speed up any series of beats, and a tone will eventually be audible. Conversely, a tone can be slowed down to the point where it sounds like a series of beats.

	The harmonic series is an infinite series of [https://en.wikipedia.org/wiki/Sine_wave sine wave] tones (partials) that are multiples of a fundamental frequency. The harmonic series can be replicated percussively by using equally spaced pulses. Different pulse frequencies (tempos) will create different harmonics. ''Tempering'' these harmonics involves phrasing them to be ''unequal'' in spacing.

	The harmonic series follows a specific pattern, where each harmonic vibrates at integer multiples of the fundamental frequency (partials). A 120 bpm straight pulse's second harmonic (2/1) would be double the tempo, its third harmonic (3/1) triple the tempo, etc... At the tenth harmonic (10/1), the pulse is now at 1200 bpm (20 [https://en.wikipedia.org/wiki/Hertz Hz]). By this point, it often ceases to sound like percussion and instead as an audible tone. However, the listener's perception and the sound's timbre can alter this threshold slightly.

	Meters are often tempered purely out of preference or for a specific genre. Swing, MOS rhythm, and microrhythmic phrasing are all examples of tempering harmonic (straight) meters. However, as explained by musician and theorist Malcolm Braff, meters can also be tempered to increase synchronization (proximity) between beats:

	[[File:Metric Harmonics.jpg\|center\|502x502px\|source: ]]		[[File:Metric Harmonics.jpg\|center\|502x502px\|source: ]]
	<small>(image source: https://general-theory-of-rhythm.org)</small>		<small>(image source: https://general-theory-of-rhythm.org)</small>

Xenprism at 21:25, 1 July 2026

2026-07-01T21:25:45Z

← Older revision		Revision as of 17:25, 1 July 2026
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	Harmonics are just as present in rhythm as in harmony: speed up any series of beats, and a tone will eventually be audible. Conversely, a tone can be slowed down to the point where it sounds like a series of beats.		Harmonics are just as present in rhythm as in harmony: speed up any series of beats, and a tone will eventually be audible. Conversely, a tone can be slowed down to the point where it sounds like a series of beats.

	~~In harmony, the~~ harmonic series is an infinite series of [https://en.wikipedia.org/wiki/Sine_wave sine wave] tones (partials) that are multiples of a fundamental frequency. The harmonic series can be replicated percussively by using equally spaced pulses. Different pulse frequencies (tempos) will create different harmonics. ''Tempering'' these harmonics involves phrasing them to be ''unequal'' in spacing.		The harmonic series is an infinite series of [https://en.wikipedia.org/wiki/Sine_wave sine wave] tones (partials) that are multiples of a fundamental frequency. The harmonic series can be replicated percussively by using equally spaced pulses. Different pulse frequencies (tempos) will create different harmonics. ''Tempering'' these harmonics involves phrasing them to be ''unequal'' in spacing.

	The harmonic series follows a specific pattern, where each harmonic vibrates at integer multiples of the fundamental frequency (partials). A 120 bpm straight pulse's second harmonic (2/1) would be double the tempo, its third harmonic (3/1) triple the tempo, etc... At the tenth harmonic (10/1), the pulse is now at 1200 bpm (20 [https://en.wikipedia.org/wiki/Hertz Hz]). By this point, it often ceases to sound like percussion and instead as an audible tone. However, the listener's perception and the sound's timbre can alter this threshold slightly.		The harmonic series follows a specific pattern, where each harmonic vibrates at integer multiples of the fundamental frequency (partials). A 120 bpm straight pulse's second harmonic (2/1) would be double the tempo, its third harmonic (3/1) triple the tempo, etc... At the tenth harmonic (10/1), the pulse is now at 1200 bpm (20 [https://en.wikipedia.org/wiki/Hertz Hz]). By this point, it often ceases to sound like percussion and instead as an audible tone. However, the listener's perception and the sound's timbre can alter this threshold slightly.

Xenprism at 21:22, 1 July 2026

2026-07-01T21:22:29Z

← Older revision		Revision as of 17:22, 1 July 2026
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	[[File:Metric Harmonics.jpg\|center\|502x502px\|source: ]]		[[File:Metric Harmonics.jpg\|center\|502x502px\|source: ]]
	(source: https://general-theory-of-rhythm.org)		<small>(image source: https://general-theory-of-rhythm.org)</small>

Xenprism at 21:21, 1 July 2026

2026-07-01T21:21:11Z

← Older revision		Revision as of 17:21, 1 July 2026
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	[[File:Metric Harmonics.jpg\|center\|502x502px\|source: ]]		[[File:Metric Harmonics.jpg\|center\|502x502px\|source: ]]
	(source: https://general-theory-of-rhythm.org)		(source: https://general-theory-of-rhythm.org)

Xenprism at 21:20, 1 July 2026

2026-07-01T21:20:25Z

← Older revision		Revision as of 17:20, 1 July 2026
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	[[File:Metric Harmonics.jpg\|center\|502x502px\|source: ]]		[[File:Metric Harmonics.jpg\|center\|502x502px\|source: ]]
			(source: https://general-theory-of-rhythm.org)

Xenprism: Created page with "Harmonics are just as present in rhythm as in harmony: speed up any series of beats, and a tone will eventually be audible. Conversely, a tone can be slowed down to the point where it sounds like a series of beats. In harmony, the harmonic series is an infinite series of [https://en.wikipedia.org/wiki/Sine_wave sine wave] tones (partials) that are multiples of a fundamental frequency. The harmonic series can be replicated percussively by using equally spaced pulses. Dif..."

2026-07-01T21:13:38Z

Created page with "Harmonics are just as present in rhythm as in harmony: speed up any series of beats, and a tone will eventually be audible. Conversely, a tone can be slowed down to the point where it sounds like a series of beats. In harmony, the harmonic series is an infinite series of [https://en.wikipedia.org/wiki/Sine_wave sine wave] tones (partials) that are multiples of a fundamental frequency. The harmonic series can be replicated percussively by using equally spaced pulses. Dif..."

New page

Harmonics are just as present in rhythm as in harmony: speed up any series of beats, and a tone will eventually be audible. Conversely, a tone can be slowed down to the point where it sounds like a series of beats.

In harmony, the harmonic series is an infinite series of [https://en.wikipedia.org/wiki/Sine_wave sine wave] tones (partials) that are multiples of a fundamental frequency. The harmonic series can be replicated percussively by using equally spaced pulses. Different pulse frequencies (tempos) will create different harmonics. ''Tempering'' these harmonics involves phrasing them to be ''unequal'' in spacing.

The harmonic series follows a specific pattern, where each harmonic vibrates at integer multiples of the fundamental frequency (partials). A 120 bpm straight pulse's second harmonic (2/1) would be double the tempo, its third harmonic (3/1) triple the tempo, etc... At the tenth harmonic (10/1), the pulse is now at 1200 bpm (20 [https://en.wikipedia.org/wiki/Hertz Hz]). By this point, it often ceases to sound like percussion and instead as an audible tone. However, the listener's perception and the sound's timbre can alter this threshold slightly.

Meters are often tempered purely out of preference or for a specific genre. Swing, MOS rhythm, and microrhythmic phrasing are all examples of tempering harmonic (straight) meters. However, as explained by musician and theorist Malcolm Braff, meters can also be tempered to increase synchronization (proximity) between beats:

[[File:Metric Harmonics.jpg|center|502x502px|source: ]]