Linear step scale - Revision history

BudjarnLambeth: Todo and categories

2024-12-15T02:04:26Z

Todo and categories

2024-10-20T06:26:46Z

Todo link

2023-12-23T05:27:40Z

← Older revision		Revision as of 05:27, 23 December 2023
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	Most such scales are [[nonoctave]]. The scales which have octaves can have the a in "ax+b" determined by only b and the number of tones:		Most such scales are [[nonoctave]]. The scales which have octaves can have the a in "ax+b" determined by only b and the number of tones:

	~~TBA~~		a = (-2bn + 2b + 2400)/(n^2 - 3n + 2)

	Where n represents the number of tones, and all pitches are given in cents.		Where n represents the number of tones, and all pitches are given in cents.

2023-12-23T05:24:50Z

← Older revision		Revision as of 05:24, 23 December 2023
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	A '''linear step scale'''{{idiosyncratic}} is a possible generalization of [[equal temperament]]s other than [[MOS scale]]s. The size of the step after a note increases linearly in the form ax+b where x is the index of the note (starting from 0). For example, a 3-tone octave-repeating scale with the step size determined as 10x+285 in [[cents]] would have the step sizes between intervals as 285-295-305-~~335~~ cents and the intervals as 285-580-885-1200 cents. All linear step scales are logically [[harmonotonic tuning]]s (decreasing step sizes for negative slope and increasing step sizes for positive slope).		A '''linear step scale'''{{idiosyncratic}} is a possible generalization of [[equal temperament]]s other than [[MOS scale]]s. The size of the step after a note increases linearly in the form ax+b where x is the index of the note (starting from 0). For example, a 3-tone octave-repeating scale with the step size determined as 10x+285 in [[cents]] would have the step sizes between intervals as 285-295-305-315 cents and the intervals as 285-580-885-1200 cents. All linear step scales are logically [[harmonotonic tuning]]s (decreasing step sizes for negative slope and increasing step sizes for positive slope).

	The term "linear step scale" was proposed by [[User:CompactStar\|CompactStar]].		The term "linear step scale" was proposed by [[User:CompactStar\|CompactStar]].

2023-12-23T05:23:05Z

Nevermind that doesn't work

← Older revision		Revision as of 05:23, 23 December 2023
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	Most such scales are [[nonoctave]]. The scales which have octaves can have the a in "ax+b" determined by only b and the number of tones:		Most such scales are [[nonoctave]]. The scales which have octaves can have the a in "ax+b" determined by only b and the number of tones:

	~~a = (-2bn - 2b + 2400)/(n^2 + n)~~		TBA

	Where n represents the number of tones, and all pitches are given in cents.		Where n represents the number of tones, and all pitches are given in cents.

2023-12-23T05:20:40Z

← Older revision		Revision as of 05:20, 23 December 2023
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	a = (-2bn - 2b + 2400)/(n^2 + n)		a = (-2bn - 2b + 2400)/(n^2 + n)

	Where n represents the number of tones~~. All~~ pitches are given in cents.		Where n represents the number of tones, and all pitches are given in cents.
	[[Category:Scale]]		[[Category:Scale]]

	{{Stub}}		{{Stub}}

2023-12-23T05:20:35Z

← Older revision		Revision as of 05:20, 23 December 2023
Line 4:		Line 4:

	Most such scales are [[nonoctave]]. The scales which have octaves can have the a in "ax+b" determined by only b and the number of tones:		Most such scales are [[nonoctave]]. The scales which have octaves can have the a in "ax+b" determined by only b and the number of tones:

	a = (-2bn - 2b + 2400)/(n^2 + n)		a = (-2bn - 2b + 2400)/(n^2 + n)

	Where n represents the number of tones. All pitches are given in cents.		Where n represents the number of tones. All pitches are given in cents.
	[[Category:Scale]]		[[Category:Scale]]

	{{Stub}}		{{Stub}}

2023-12-23T05:20:30Z

← Older revision		Revision as of 05:20, 23 December 2023
Line 4:		Line 4:

	Most such scales are [[nonoctave]]. The scales which have octaves can have the a in "ax+b" determined by only b and the number of tones:		Most such scales are [[nonoctave]]. The scales which have octaves can have the a in "ax+b" determined by only b and the number of tones:
	(~~TBA~~)		a = (-2bn - 2b + 2400)/(n^2 + n)
	Where x represents the number of tones.		Where n represents the number of tones. All pitches are given in cents.
	[[Category:Scale]]		[[Category:Scale]]

	{{Stub}}		{{Stub}}

2023-12-15T10:03:03Z

← Older revision		Revision as of 10:03, 15 December 2023
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	Where x represents the number of tones.		Where x represents the number of tones.
	[[Category:Scale]]		[[Category:Scale]]
	~~[[Category:~~

	{{Stub}}		{{Stub}}

2023-12-15T10:02:58Z

← Older revision		Revision as of 10:02, 15 December 2023
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	The term "linear step scale" was proposed by [[User:CompactStar\|CompactStar]].		The term "linear step scale" was proposed by [[User:CompactStar\|CompactStar]].

			Most such scales are [[nonoctave]]. The scales which have octaves can have the a in "ax+b" determined by only b and the number of tones:
			(TBA)
			Where x represents the number of tones.
	[[Category:Scale]]		[[Category:Scale]]
			[[Category:

	{{Stub}}		{{Stub}}