2L 5s: Difference between revisions

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Antidiatonic is similar to [[5L 2s|diatonic]] except interval classes are flipped. For example, there are natural, harmonic, and melodic major scales instead of minor scales, and its locrian scale, called "antilocrian", has an augmented fifth instead of a diminished fifth. The flatter the fifth, the less this scale resembles diatonic.

The most well-known forms of this scale are produced by [[mavila]], with fifths sharp enough to resemble diatonic. Other temperaments that produce this scale include [[score]], [[casablanca]], and [[triton]], whose fifths are so flat that they cannot be interpreted as a diatonic 5th, flattened or otherwise.

The most well-known forms of this scale are produced by [[mavila]], with fifths sharp enough to resemble diatonic. Other temperaments that produce this scale include [[score]], [[casablanca]], and [[triton]], whose fifths are so flat that they cannot be interpreted as a diatonic 5th, flattened or otherwise. The [[undecimation]] temperament also produces a near-equal antidiatonic scale, being generated by a fifth between that of mavila and [[7edo]] such that -6 of these fifths stacked leads to a more in-tune ~[[3/2]] fifth. However it makes more sense to use a larger gamut, such as the [[7L 9s]] MOS, for undecimation.

== Name ==

[[TAMNAMS]] suggests the temperament-agnostic name '''antidiatonic''' for this scale, adopted from the common use of the term to refer to diatonic ([[5L 2s]]) but with the large and small steps switched.

The scale is also often called peletonic or '''peltonic''', based on its prefix.

== Intervals ==

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== Notation ==

The most common way of notating this scale, particularly when working with mavila, is to use the same note names and accidentals as that of diatonic (CDEFGAB, #, and b), but read as antidiatonic instead. ~~There are, however, two ways of notating accidentals:~~

The most common way of notating this scale, particularly when working with mavila, is to use the same note names and accidentals as that of diatonic (CDEFGAB, #, and b), but read as antidiatonic instead.

* Harmonic antidiatonic notation, where the sharps and flats of diatonic switch roles: sharps flatten and flats sharpen.

* Melodic antidiatonic notation, where the meaning of sharps and flats is preserved: sharps sharpen and flats flatten.

Under harmonic antidiatonic notation, the basic gamut (for D anti-dorian) is the following: {{MOS gamut|Notation=DEFGABC; b; #|Step Ratio=2/1}}.

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=== Temperament interpretations ===

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

* [[Undecimation]], with generators around 681.4{{c}}.

* [[Mavila]], with generators around 679.8{{c}}.

* [[Casablanca]], with generators around 657.8{{c}}.

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== Scale tree ==

{{MOS tuning spectrum

| 6/5 = [[Gravity]] ↑

| 6/5 = [[Gravity]] ↑<br>[[Undecimation]]

| 3/2 = [[Mavila]]

| 13/8 = Golden mavila (527.1497{{c}})

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+{{Interwiki
+|en=2L 5s
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 {{Infobox MOS}}
 {{MOS intro}}
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 Antidiatonic is similar to [[5L 2s|diatonic]] except interval classes are flipped. For example, there are natural, harmonic, and melodic major scales instead of minor scales, and its locrian scale, called "antilocrian", has an augmented fifth instead of a diminished fifth. The flatter the fifth, the less this scale resembles diatonic.
-The most well-known forms of this scale are produced by [[mavila]], with fifths sharp enough to resemble diatonic. Other temperaments that produce this scale include [[score]], [[casablanca]], and [[triton]], whose fifths are so flat that they cannot be interpreted as a diatonic 5th, flattened or otherwise.
+The most well-known forms of this scale are produced by [[mavila]], with fifths sharp enough to resemble diatonic. Other temperaments that produce this scale include [[score]], [[casablanca]], and [[triton]], whose fifths are so flat that they cannot be interpreted as a diatonic 5th, flattened or otherwise. The [[undecimation]] temperament also produces a near-equal antidiatonic scale, being generated by a fifth between that of mavila and [[7edo]] such that -6 of these fifths stacked leads to a more in-tune ~[[3/2]] fifth. However it makes more sense to use a larger gamut, such as the [[7L 9s]] MOS, for undecimation.
 == Name ==
 [[TAMNAMS]] suggests the temperament-agnostic name '''antidiatonic''' for this scale, adopted from the common use of the term to refer to diatonic ([[5L 2s]]) but with the large and small steps switched.
+The scale is also often called peletonic or '''peltonic''', based on its prefix.
 == Intervals ==
@@ Line 14: / Line 22: @@
 == Notation ==
-The most common way of notating this scale, particularly when working with mavila, is to use the same note names and accidentals as that of diatonic (CDEFGAB, #, and b), but read as antidiatonic instead. There are, however, two ways of notating accidentals:
+The most common way of notating this scale, particularly when working with mavila, is to use the same note names and accidentals as that of diatonic (CDEFGAB, #, and b), but read as antidiatonic instead.
-* Harmonic antidiatonic notation, where the sharps and flats of diatonic switch roles: sharps flatten and flats sharpen.
-* Melodic antidiatonic notation, where the meaning of sharps and flats is preserved: sharps sharpen and flats flatten.
+{{Mavila|Tuning=2L 5s}}
 Under harmonic antidiatonic notation, the basic gamut (for D anti-dorian) is the following: {{MOS gamut|Notation=DEFGABC; b; #|Step Ratio=2/1}}.
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 === Temperament interpretations ===
 L&nbsp;5s has several rank-2 temperament interpretations, such as:
+* [[Undecimation]], with generators around 681.4{{c}}.
 * [[Mavila]], with generators around 679.8{{c}}.
 * [[Casablanca]], with generators around 657.8{{c}}.
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 == Scale tree ==
 {{MOS tuning spectrum
-| 6/5 = [[Gravity]]&nbsp;↑
+| 6/5 = [[Gravity]]&nbsp;↑<br>[[Undecimation]]
 | 3/2 = [[Mavila]]
 | 13/8 = Golden mavila (527.1497{{c}})

2L 5s: Difference between revisions

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