5L 2s: Difference between revisions

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The familiar pattern of 5 whole steps and 2 half steps, commonly written as WWHWWWH for the major scale, takes on a generalized form of LLsLLLs, where the large and small ~~steps – denoted~~ as L's and s'~~s – represent~~ whole number step sizes, thus producing different [[edo]]s. These [[step ratio]]s affect the sizes of the diatonic scale's intervals and correspond to different tuning systems.

The familiar pattern of 5 whole steps and 2 half steps, commonly written as WWHWWWH for the major scale, takes on a generalized form of LLsLLLs, where the large and small steps—denoted as L's and s's—represent whole number step sizes, thus producing different [[edo]]s. These [[step ratio]]s affect the sizes of the diatonic scale's intervals and correspond to different tuning systems.

Among the most well-known forms of this scale are the Pythagorean diatonic scale, and scales produced by meantone systems (including [[12edo]]).

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=== Intervals ===

Intervals are identical to that of standard notation. As such, the usual [[~~Interval quality|~~interval qualities]] of major/minor and augmented/perfect/diminished apply here.

Intervals are identical to that of standard notation. As such, the usual [[interval qualities]] of major/minor and augmented/perfect/diminished apply here.

=== Note names ===

Note names are identical to that of standard notation. Thus, the basic gamut for 5L 2s is the following:

Note names are identical to that of standard notation. Thus, the basic gamut for 5L 2s is the following:

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=== Temperament interpretations ===

5L 2s has several rank-2 temperament interpretations, such as:

5L 2s has several rank-2 temperament interpretations, such as:

* [[Meantone]], with generators around 696.2¢. This includes:

** [[Flattone]], with generators around 693.7¢.

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** Ultrapyth, with generators around 713.7¢.

=== Warped diatonic scales ===

Because of most listeners’ familiarity with the 5L 2s diatonic scale, listeners may sometimes experience an effect like pareidolia, hearing 5L 2s even when it isn’t there.

Because of most listeners’ familiarity with the 5L 2s diatonic scale, listeners may sometimes experience an effect like pareidolia, hearing 5L 2s even when it isn’t there.

A larger scale can be constructed so that it contains chains of 5L 2s, but then breaks the pattern, exploiting that pareidolic effect to surprise and disorient the listener. Scales which have this effect are called [[warped diatonic]] scales.

A larger scale can be constructed so that it contains chains of 5L 2s, but then breaks the pattern, exploiting that pareidolic effect to surprise and disorient the listener. Scales which have this effect are called [[warped diatonic]] scales.

== Tuning ranges ==

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== Scales ==

=== Subset and superset scales ===

5L 2s has a parent scale of [[2L 3s]], a pentatonic scale, meaning 2L 3s is a subset. 5L 2s also has two child scales, which are supersets of 5L 2s:

5L 2s has a parent scale of [[2L 3s]], a pentatonic scale, meaning 2L 3s is a subset. 5L 2s also has two child scales, which are supersets of 5L 2s:

* [[7L 5s]], a chromatic scale produced using soft-of-basic step ratios.

* [[7L 5s]], a chromatic scale produced using soft-of-basic step ratios.

* [[5L 7s]], a chromatic scale produced using hard-of-basic step ratios.

* [[5L 7s]], a chromatic scale produced using hard-of-basic step ratios.

12edo, the equalized form of both 7L 5s and 5L 7s, is also a superset of 5L 2s.

12edo, the equalized form of both 7L 5s and 5L 7s, is also a superset of 5L 2s.

=== MODMOS scales and muddles ===

@@ Line 11: / Line 11: @@
 {{MOS intro}}
-The familiar pattern of 5 whole steps and 2 half steps, commonly written as WWHWWWH for the major scale, takes on a generalized form of LLsLLLs, where the large and small steps – denoted as L's and s's – represent whole number step sizes, thus producing different [[edo]]s. These [[step ratio]]s affect the sizes of the diatonic scale's intervals and correspond to different tuning systems.
+The familiar pattern of 5 whole steps and 2 half steps, commonly written as WWHWWWH for the major scale, takes on a generalized form of LLsLLLs, where the large and small steps—denoted as L's and s's—represent whole number step sizes, thus producing different [[edo]]s. These [[step ratio]]s affect the sizes of the diatonic scale's intervals and correspond to different tuning systems.
 Among the most well-known forms of this scale are the Pythagorean diatonic scale, and scales produced by meantone systems (including [[12edo]]).
@@ Line 22: / Line 22: @@
 === Intervals ===
-Intervals are identical to that of standard notation. As such, the usual [[Interval quality|interval qualities]] of major/minor and augmented/perfect/diminished apply here.
+Intervals are identical to that of standard notation. As such, the usual [[interval qualities]] of major/minor and augmented/perfect/diminished apply here.
 {{MOS intervals}}
 === Note names ===
-Note names are identical to that of standard notation. Thus, the basic gamut for 5L 2s is the following:
+Note names are identical to that of standard notation. Thus, the basic gamut for 5L&nbsp;2s is the following:
 {{MOS gamut}}
@@ Line 32: / Line 32: @@
 === Temperament interpretations ===
 {{Main| 5L 2s/Temperaments }}
-L 2s has several rank-2 temperament interpretations, such as:
+L&nbsp;2s has several rank-2 temperament interpretations, such as:
 * [[Meantone]], with generators around 696.2¢. This includes:
 ** [[Flattone]], with generators around 693.7¢.
@@ Line 42: / Line 42: @@
 ** Ultrapyth, with generators around 713.7¢.
 === Warped diatonic scales ===
-Because of most listeners’ familiarity with the 5L 2s diatonic scale, listeners may sometimes experience an effect like pareidolia, hearing 5L 2s even when it isn’t there.
+Because of most listeners’ familiarity with the 5L&nbsp;2s diatonic scale, listeners may sometimes experience an effect like pareidolia, hearing 5L&nbsp;2s even when it isn’t there.
-A larger scale can be constructed so that it contains chains of 5L 2s, but then breaks the pattern, exploiting that pareidolic effect to surprise and disorient the listener. Scales which have this effect are called [[warped diatonic]] scales.
+A larger scale can be constructed so that it contains chains of 5L&nbsp;2s, but then breaks the pattern, exploiting that pareidolic effect to surprise and disorient the listener. Scales which have this effect are called [[warped diatonic]] scales.
 == Tuning ranges ==
@@ Line 107: / Line 107: @@
 == Scales ==
 === Subset and superset scales ===
-L 2s has a parent scale of [[2L 3s]], a pentatonic scale, meaning 2L 3s is a subset. 5L 2s also has two child scales, which are supersets of 5L 2s:
+L&nbsp;2s has a parent scale of [[2L&nbsp;3s]], a pentatonic scale, meaning 2L&nbsp;3s is a subset. 5L&nbsp;2s also has two child scales, which are supersets of 5L&nbsp;2s:
-* [[7L 5s]], a chromatic scale produced using soft-of-basic step ratios.
+* [[7L&nbsp;5s]], a chromatic scale produced using soft-of-basic step ratios.
-* [[5L 7s]], a chromatic scale produced using hard-of-basic step ratios.
+* [[5L&nbsp;7s]], a chromatic scale produced using hard-of-basic step ratios.
-edo, the equalized form of both 7L 5s and 5L 7s, is also a superset of 5L 2s.
+edo, the equalized form of both 7L&nbsp;5s and 5L&nbsp;7s, is also a superset of 5L&nbsp;2s.
 === MODMOS scales and muddles ===