2L 5s: Difference between revisions

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Antidiatonic is similar to 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.

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.

== Name ==

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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. There are, however, two ways of notating accidentals:

* 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.

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=== Temperament interpretations ===

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

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

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

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=== Soft-of-basic tunings ===

Much of the range for soft-of-basic antidiatonic tunings (1:1 to 2:1) corresponds to mavila temperament. Edos include 9edo (not shown), [[16edo]], and [[23edo]].

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3/2: [[Mavila]];

13/8: Golden mavila (527.1497¢);

9/5: [[Mabila]]/[[~~Amavil~~]];

9/5: [[Mabila]]/[[amavil]];

5/2: Score;

13/5: Unnamed golden tuning (541.3837¢);

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6/1: [[Liese]]↓, [[triton]]↓}}

~~[[Category:7-tone scales]]~~

[[Category:Antidiatonic| ]]

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 {{MOS intro}}
-Antidiatonic is similar to 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.
+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.
 == Name ==
@@ Line 14: / Line 14: @@
 == 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. There are, however, two ways of notating accidentals:
 * 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.
@@ Line 29: / Line 28: @@
 === Temperament interpretations ===
 L&nbsp;5s has several rank-2 temperament interpretations, such as:
 * [[Mavila]], with generators around 679.8{{c}}.
 * [[Casablanca]], with generators around 657.8{{c}}.
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 === Soft-of-basic tunings ===
-{{Main|Mavila}}
+{{See also| Mavila }}
 Much of the range for soft-of-basic antidiatonic tunings (1:1 to 2:1) corresponds to mavila temperament. Edos include 9edo (not shown), [[16edo]], and [[23edo]].
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 /2: [[Mavila]];
 /8: Golden mavila (527.1497¢);
-/5: [[Mabila]]/[[Amavil]];
+/5: [[Mabila]]/[[amavil]];
 /2: Score;
 /5: Unnamed golden tuning (541.3837¢);
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 /1: [[Liese]]↓, [[triton]]↓}}
-[[Category:7-tone scales]]
 [[Category:Antidiatonic| ]] <!-- main article -->