Step pattern - Revision history

Fredg999: Merge Step label spectrum, reword lead section (abstract step patterns)

2024-08-12T15:53:10Z

Merge Step label spectrum, reword lead section (abstract step patterns)

@@ Line 1: / Line 1: @@
 The '''step pattern''' of a [[scale]] is the sequence of the [[interval size]]s of its [[step]]s, usually in ascending order of pitch.
-An '''abstract step pattern''' contains letters such as L ("large"), M ("medium") and s ("small") to express relative sizes (L > M > s). A '''concrete step pattern''' contains interval sizes instead, which can be [[frequency ratio]]s, numbers of [[step]]s in an equal tuning, etc.
+An '''abstract step pattern''' contains letters, known as '''step labels''', to express relative sizes. [[Binary scale]]s, including [[MOS scale]]s, use letters L ("large") and s ("small"); [[ternary scale]]s add the letter M ("medium") between L and s.<ref group="note">A lowercase m is sometimes used instead of the usual uppercase M, mainly when the medium step size is closer to a small step than to a large step, such as in [[aberrismic theory]].</ref>
 For an [[octave]]-repeating scale, the step pattern usually spans an octave; more generally, for a [[periodic scale]], the step pattern usually spans a [[period]] or an [[equave]]. Different rotations of the same step pattern can be used to express different [[mode]]s.
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 A scale pattern may be condensed into a '''scale signature''' or '''step signature''', displaying only the number of steps of any given size, no matter where they occur in the scale. For example, the scale signature for the diatonic scale, LLsLLLs, is [[5L 2s]]. In some cases, the scale signature can be used to uniquely identify a scale: for example, given a [[binary]] scale signature (aL bs), there is only one possible [[MOS scale]] with that signature.
 {| class="wikitable"
-|+ Comparison of two [[diatonic]] scales (major mode)
+|+ Example: comparison of two [[diatonic]] scales (major mode)
 ! Tuning
 ! Abstract step pattern
@@ Line 28: / Line 29: @@
 | 5 10 13 18 23 28 31
 |}
 [[Category:Scale]]
 [[Category:Terms]]

Inthar at 04:37, 12 February 2024

2024-02-12T04:37:19Z

← Older revision		Revision as of 04:37, 12 February 2024
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	For an [[octave]]-repeating scale, the step pattern usually spans an octave; more generally, for a [[periodic scale]], the step pattern usually spans a [[period]] or an [[equave]]. Different rotations of the same step pattern can be used to express different [[mode]]s.		For an [[octave]]-repeating scale, the step pattern usually spans an octave; more generally, for a [[periodic scale]], the step pattern usually spans a [[period]] or an [[equave]]. Different rotations of the same step pattern can be used to express different [[mode]]s.

	A scale pattern may be condensed into a '''scale signature''', displaying only the number of steps of any given size, no matter where they occur in the scale. For example, the scale signature for the diatonic scale, LLsLLLs, is [[5L 2s]]. In some cases, the scale signature can be used to uniquely identify a scale: for example, given a [[binary]] scale signature (aL bs), there is only one possible [[MOS scale]] with that signature.		A scale pattern may be condensed into a '''scale signature''' or '''step signature''', displaying only the number of steps of any given size, no matter where they occur in the scale. For example, the scale signature for the diatonic scale, LLsLLLs, is [[5L 2s]]. In some cases, the scale signature can be used to uniquely identify a scale: for example, given a [[binary]] scale signature (aL bs), there is only one possible [[MOS scale]] with that signature.

	== Example ==		== Example ==

Fredg999: Made into a full page

2023-12-11T06:45:29Z

Made into a full page

← Older revision		Revision as of 06:45, 11 December 2023
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	~~#REDIRECT~~ [[~~Scale~~]]		The '''step pattern''' of a [[scale]] is the sequence of the [[interval size]]s of its [[step]]s, usually in ascending order of pitch.

			An '''abstract step pattern''' contains letters such as L ("large"), M ("medium") and s ("small") to express relative sizes (L > M > s). A '''concrete step pattern''' contains interval sizes instead, which can be [[frequency ratio]]s, numbers of [[step]]s in an equal tuning, etc.

			For an [[octave]]-repeating scale, the step pattern usually spans an octave; more generally, for a [[periodic scale]], the step pattern usually spans a [[period]] or an [[equave]]. Different rotations of the same step pattern can be used to express different [[mode]]s.

			A scale pattern may be condensed into a '''scale signature''', displaying only the number of steps of any given size, no matter where they occur in the scale. For example, the scale signature for the diatonic scale, LLsLLLs, is [[5L 2s]]. In some cases, the scale signature can be used to uniquely identify a scale: for example, given a [[binary]] scale signature (aL bs), there is only one possible [[MOS scale]] with that signature.

			== Example ==
			{\| class="wikitable"
			\|+ Comparison of two [[diatonic]] scales (major mode)
			! Tuning
			! Abstract step pattern
			! Step ratio
			! Concrete step pattern
			! List of degrees
			\|-
			\| [[3-limit]] JI
			\| LLsLLLs
			\| L:s ≈ 2.26
			\| 9/8 9/8 256/243 9/8 9/8 9/8 256/243
			\| 9/8 81/64 4/3 3/2 27/16 243/128 2/1
			\|-
			\| 31edo
			\| LLsLLLs
			\| L:s = 5:3 ≈ 1.67
			\| 5 5 3 5 5 5 3
			\| 5 10 13 18 23 28 31
			\|}

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

Fredg999: Categories

2023-08-22T03:18:15Z

Fredg999: Redirected page to Scale

2023-02-20T02:35:19Z

Redirected page to Scale

New page

#REDIRECT [[Scale]]

← Older revision		Revision as of 03:18, 22 August 2023
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	#REDIRECT [[Scale]]		#REDIRECT [[Scale]]

			[[Category:Terms]]