Mode height - Revision history

Fredg999: Clarify definition, add "In equal tunings" section, misc. edits

2025-07-21T06:00:18Z

Clarify definition, add "In equal tunings" section, misc. edits

← Older revision		Revision as of 06:00, 21 July 2025
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	~~The~~ average [[pitch height]] of a [[~~mode~~]]. It can take values between -1 and 1 exclusive, where [[symmetric mode]]s have a mode height of 0.		'''Mode height''' is the average [[pitch]] height of a [[mode]] of a [[scale]]. It can take values between -1 and 1 exclusive, where [[symmetric mode]]s have a mode height of 0.

	Consider the [[diatonic scale]] in [[12edo]] as an example.		Consider the [[diatonic scale]] in [[12edo]] as an example.
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	We don't have to consider 0 and 1200 in calculating the mode height, as those notes are on either end and cancel each other out. To calculate the mode height we first shift the scale so that 0 cents is in the middle of the period, so we take away 600c from every interval. The mode height of the Ionian mode is then (-400 + (-200) + (-100) + 100 + 300 + 500) / (1200*6) = 0.02778.		We don't have to consider 0 and 1200 in calculating the mode height, as those notes are on either end and cancel each other out. To calculate the mode height we first shift the scale so that 0 cents is in the middle of the period, so we take away 600c from every interval. The mode height of the Ionian mode is then (-400 + (-200) + (-100) + 100 + 300 + 500) / (1200*6) = 0.02778.

			== In equal tunings ==
			The mode height of a scale in an [[equal tuning]] may instead be expressed in degrees of the tuning<ref>[[Hearne, Lillian M.]] (2020). [https://researchers-admin.westernsydney.edu.au/ws/portalfiles/portal/94900730/uws_58606.pdf "The Cognition of Harmonic Tonality in Microtonal Scales"], p. 171. ''Western Sydney University''. Retrieved 21 July 2025.</ref>. In that case, the values it can take are between -''N''/2 and -''N''/2 exclusive, where ''N'' is the number of degrees of the tuning spanned by the mode.

			== References ==
			<references />

	[[Category:Scale]]		[[Category:Scale]]
	[[Category:Terms]]		[[Category:Terms]]

BudjarnLambeth: Add outgoing links to dead end page

2024-12-04T10:03:18Z

Add outgoing links to dead end page

← Older revision		Revision as of 10:03, 4 December 2024
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	The average pitch height of a mode. It can take values between -1 and 1 exclusive, where symmetric ~~modes~~ have a mode height of 0.		The average [[pitch height]] of a [[mode]]. It can take values between -1 and 1 exclusive, where [[symmetric mode]]s have a mode height of 0.

	Consider the diatonic scale in 12edo as an example.		Consider the [[diatonic scale]] in [[12edo]] as an example.

	We may write the Ionian (major) as 0 200 400 500 700 900 1100 1200.		We may write the Ionian (major) as 0 200 400 500 700 900 1100 1200.

BudjarnLambeth: Moved from category "theory" to "terms"

2023-04-26T09:23:43Z

Moved from category "theory" to "terms"

← Older revision		Revision as of 09:23, 26 April 2023
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	We don't have to consider 0 and 1200 in calculating the mode height, as those notes are on either end and cancel each other out. To calculate the mode height we first shift the scale so that 0 cents is in the middle of the period, so we take away 600c from every interval. The mode height of the Ionian mode is then (-400 + (-200) + (-100) + 100 + 300 + 500) / (1200*6) = 0.02778.		We don't have to consider 0 and 1200 in calculating the mode height, as those notes are on either end and cancel each other out. To calculate the mode height we first shift the scale so that 0 cents is in the middle of the period, so we take away 600c from every interval. The mode height of the Ionian mode is then (-400 + (-200) + (-100) + 100 + 300 + 500) / (1200*6) = 0.02778.
	~~[[Category:Theory]]~~
	[[Category:Scale]]		[[Category:Scale]]
			[[Category:Terms]]

BudjarnLambeth at 01:17, 26 April 2023

2023-04-26T01:17:06Z

← Older revision		Revision as of 01:17, 26 April 2023
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	We don't have to consider 0 and 1200 in calculating the mode height, as those notes are on either end and cancel each other out. To calculate the mode height we first shift the scale so that 0 cents is in the middle of the period, so we take away 600c from every interval. The mode height of the Ionian mode is then (-400 + (-200) + (-100) + 100 + 300 + 500) / (1200*6) = 0.02778.		We don't have to consider 0 and 1200 in calculating the mode height, as those notes are on either end and cancel each other out. To calculate the mode height we first shift the scale so that 0 cents is in the middle of the period, so we take away 600c from every interval. The mode height of the Ionian mode is then (-400 + (-200) + (-100) + 100 + 300 + 500) / (1200*6) = 0.02778.
	[[Category:Theory]]		[[Category:Theory]]
	[[Category:~~Scales~~]]		[[Category:Scale]]

BudjarnLambeth: Categorised this uncategorised page

2023-04-26T01:16:50Z

Categorised this uncategorised page

← Older revision		Revision as of 01:16, 26 April 2023
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	We don't have to consider 0 and 1200 in calculating the mode height, as those notes are on either end and cancel each other out. To calculate the mode height we first shift the scale so that 0 cents is in the middle of the period, so we take away 600c from every interval. The mode height of the Ionian mode is then (-400 + (-200) + (-100) + 100 + 300 + 500) / (1200*6) = 0.02778.		We don't have to consider 0 and 1200 in calculating the mode height, as those notes are on either end and cancel each other out. To calculate the mode height we first shift the scale so that 0 cents is in the middle of the period, so we take away 600c from every interval. The mode height of the Ionian mode is then (-400 + (-200) + (-100) + 100 + 300 + 500) / (1200*6) = 0.02778.
			[[Category:Theory]]
			[[Category:Scales]]

Lhearne at 14:40, 23 February 2022

2022-02-23T14:40:10Z

← Older revision		Revision as of 14:40, 23 February 2022
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	Consider the diatonic scale in 12edo as an example.		Consider the diatonic scale in 12edo as an example.

	We may write the Ionian (major) as 0 200 400 500 700 900 1100 1200		We may write the Ionian (major) as 0 200 400 500 700 900 1100 1200.

	We don't have to consider 0 and 1200 in calculating the ~~pitch~~ height, as those notes are on either end and cancel each other out. To calculate the mode height we first shift the scale so that 0 cents is in the middle of the period, so we take away 600c from every interval. The mode height of the Ionian mode is then (-400 + (-200) + (-100) + 100 + 300 + 500) / (1200*6) = 0.02778.		We don't have to consider 0 and 1200 in calculating the mode height, as those notes are on either end and cancel each other out. To calculate the mode height we first shift the scale so that 0 cents is in the middle of the period, so we take away 600c from every interval. The mode height of the Ionian mode is then (-400 + (-200) + (-100) + 100 + 300 + 500) / (1200*6) = 0.02778.

Lhearne: created page

2022-02-23T14:14:56Z

created page

New page

The average pitch height of a mode. It can take values between -1 and 1 exclusive, where symmetric modes have a mode height of 0.

Consider the diatonic scale in 12edo as an example.

We may write the Ionian (major) as 0 200 400 500 700 900 1100 1200

We don't have to consider 0 and 1200 in calculating the pitch height, as those notes are on either end and cancel each other out. To calculate the mode height we first shift the scale so that 0 cents is in the middle of the period, so we take away 600c from every interval. The mode height of the Ionian mode is then (-400 + (-200) + (-100) + 100 + 300 + 500) / (1200*6) = 0.02778.