Rooted interval - Revision history

CompactStar at 08:33, 20 September 2023

2023-09-20T08:33:45Z

← Older revision		Revision as of 08:33, 20 September 2023
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	Playing a rooted interval in a harmonic timbre, the [[virtual fundamental]] is of the same pitch as the bass, or whole octaves below the bass. In other words, the virtual fundamental is in the same [[pitch class]] as the bass. This gives rooted intervals the distinct characteristic of securing its own bass than suggesting other pitch classes.		Playing a rooted interval in a harmonic timbre, the [[virtual fundamental]] is of the same pitch as the bass, or whole octaves below the bass. In other words, the virtual fundamental is in the same [[pitch class]] as the bass. This gives rooted intervals the distinct characteristic of securing its own bass than suggesting other pitch classes.

			Rooted intervals can be easily generalized to [[nonoctave]] equivalence such as <math>x/3^n</math> if the [[tritave]] is used as an equivalence.
	== See also ==		== See also ==
	* [[Uprooted interval]]		* [[Uprooted interval]]

FloraC: Fix grammar

2023-09-20T08:24:01Z

Fix grammar

← Older revision		Revision as of 08:24, 20 September 2023
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	A '''rooted interval''' is in the context of [[octave equivalence]] a [[rational interval]] over an power of 2, i.e. of the form <math>x/2^n</math> for any positive integer ''x'' and nonnegative integer ''n''.		A '''rooted interval''' is in the context of [[octave equivalence]] a [[rational interval]] over a power of 2, i.e. of the form <math>x/2^n</math> for any positive integer ''x'' and nonnegative integer ''n''.

	Playing a rooted interval in a harmonic timbre, the [[virtual fundamental]] is of the same pitch as the bass, or whole octaves below the bass. In other words, the virtual fundamental is in the same [[pitch class]] as the bass. This gives rooted intervals the distinct characteristic of securing its own bass than suggesting other pitch classes.		Playing a rooted interval in a harmonic timbre, the [[virtual fundamental]] is of the same pitch as the bass, or whole octaves below the bass. In other words, the virtual fundamental is in the same [[pitch class]] as the bass. This gives rooted intervals the distinct characteristic of securing its own bass than suggesting other pitch classes.

FloraC: Note its psychoacoustic significance

2023-09-20T08:16:57Z

Note its psychoacoustic significance

← Older revision		Revision as of 08:16, 20 September 2023
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	A '''rooted interval''' is a [[rational interval]] over an power of 2, i.e. of the form <math>~~\frac{~~x}{2^n}</math>.		A '''rooted interval''' is in the context of [[octave equivalence]] a [[rational interval]] over an power of 2, i.e. of the form <math>x/2^n</math> for any positive integer ''x'' and nonnegative integer ''n''.

			Playing a rooted interval in a harmonic timbre, the [[virtual fundamental]] is of the same pitch as the bass, or whole octaves below the bass. In other words, the virtual fundamental is in the same [[pitch class]] as the bass. This gives rooted intervals the distinct characteristic of securing its own bass than suggesting other pitch classes.

	== See also ==		== See also ==
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	* [[Otonality and utonality]]		* [[Otonality and utonality]]

	[[Category:~~Interval~~]]		[[Category:Harmonic]]
			[[Category:Otonality and utonality]]
			[[Category:Psychoacoustics]]

Fredg999: Updated internal link

2022-08-03T03:12:41Z

Updated internal link

← Older revision		Revision as of 03:12, 3 August 2022
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	== See also ==		== See also ==
			* [[Uprooted interval]]
	* [[Uprooted]]
	* [[Otonality and utonality]]		* [[Otonality and utonality]]

	[[Category:Interval]]		[[Category:Interval]]

Fredg999: Fredg999 moved page Rooted to Rooted interval: WP:NC#Use nouns

2022-08-03T03:11:35Z

Fredg999 moved page Rooted to Rooted interval: WP:NC#Use nouns

← Older revision	Revision as of 03:11, 3 August 2022
(No difference)

Fredg999: Misc. edits, categories

2022-08-03T03:09:15Z

Misc. edits, categories

← Older revision		Revision as of 03:09, 3 August 2022
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	A '''rooted''' ~~interval~~ is ~~any~~ rational interval over an power of 2, i.e. of the form ~~<span>~~<math>\frac{x}{2^n}</math~~></span~~>.		A '''rooted interval''' is a [[rational interval]] over an power of 2, i.e. of the form <math>\frac{x}{2^n}</math>.

	== See also ==		== See also ==
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	* [[Uprooted]]		* [[Uprooted]]
	* [[Otonality and utonality]]		* [[Otonality and utonality]]

			[[Category:Interval]]

Cmloegcmluin: Created page with "A '''rooted''' interval is any rational interval over an power of 2, i.e. of the form $\frac{x}{2^n}$ . == See also == * Uprooted * Otonality an..."

2021-04-06T17:03:53Z

Created page with "A '''rooted''' interval is any rational interval over an power of 2, i.e. of the form <span><math>\frac{x}{2^n}</math></span>. == See also == * Uprooted * Otonality an..."

New page

A '''rooted''' interval is any rational interval over an power of 2, i.e. of the form <span><math>\frac{x}{2^n}</math></span>.

== See also ==

* [[Uprooted]]
* [[Otonality and utonality]]