2L 5s: Difference between revisions
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== Name == | == 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. | [[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 == | == Intervals == | ||
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== Notation == | == 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. | 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. | ||
{{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}}. | 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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=== Simple tunings === | === Simple tunings === | ||
The simplest tunings are those with step ratios 2:1, 3:1, and 3:2, producing [[9edo]], [[11edo]], and [[16edo]]. | The simplest tunings are those with step ratios 2:1, 3:1, and 3:2, producing [[9edo]], [[11edo]], and [[16edo]]. | ||
{{MOS tunings}} | {{MOS tunings}} | ||
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{{See also| 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]]. | 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]]. | ||
{{MOS tunings|Step Ratios=Soft-of-basic}} | {{MOS tunings|Step Ratios=Soft-of-basic}} | ||
=== Hypohard tunings === | === Hypohard tunings === | ||
The range of hard-of-basic tunings correspond to temperaments that have significantly flattened antidiatonic 5ths, such as score and casablanca. [[20edo]] and [[31edo]] represent these two temperaments quite well. | The range of hard-of-basic tunings correspond to temperaments that have significantly flattened antidiatonic 5ths, such as score and casablanca. [[20edo]] and [[31edo]] represent these two temperaments quite well. | ||
{{MOS tunings|Step Ratios=Hypohard}} | {{MOS tunings|Step Ratios=Hypohard}} | ||
=== Ultrahard tunings === | === Ultrahard tunings === | ||
Ultrahard tunings, particularly with the harder end of the spectrum, correspond to [[liese]] temperament, represent by edos such as 17edo, 19edo, and larger edos such as 55edo. | Ultrahard tunings, particularly with the harder end of the spectrum, correspond to [[liese]] temperament, represent by edos such as 17edo, 19edo, and larger edos such as 55edo. | ||
{{MOS tunings|Step Ratios=4/1; 5/1; 6/1; 7/1}} | {{MOS tunings|Step Ratios=4/1; 5/1; 6/1; 7/1}} | ||
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=== Proposed names === | === Proposed names === | ||
Modes of antidiatonic are usually named as "anti-" combined with the corresponding mode of the diatonic scale, where anti-locrian is the brightest mode and anti-lydian is the darkest mode. [[User:CompactStar|CompactStar]] also gave original names based on regions of France to mirror how modes of the diatonic scale are named on regions of Greece and Turkey. | Modes of antidiatonic are usually named as "anti-" combined with the corresponding mode of the diatonic scale, where anti-locrian is the brightest mode and anti-lydian is the darkest mode. [[User:CompactStar|CompactStar]] also gave original names based on regions of France to mirror how modes of the diatonic scale are named on regions of Greece and Turkey. | ||
{{MOS modes|Mode Names=Anti-locrian | {{MOS modes | ||
| Mode Names= | |||
Anti-locrian $ | |||
Anti-phrygian $ | |||
Anti-aeolian $ | |||
Anti-dorian $ | |||
Anti-mixolydian $ | |||
Anti-ionian $ | |||
Anti-lydian | |||
| Table Headers=CompactStar's names | |||
| Table Entries= | |||
Corsican $ | |||
Breton $ | |||
Burgundian $ | |||
Picardian $ | |||
Norman $ | |||
Provencal $ | |||
Alsatian | |||
}} | |||
== Scale tree == | == Scale tree == | ||
{{ | {{MOS tuning spectrum | ||
3/2 | | 6/5 = [[Gravity]] ↑ | ||
13/8 | | 3/2 = [[Mavila]] | ||
9/5 | | 13/8 = Golden mavila (527.1497{{c}}) | ||
5/2 | | 9/5 = [[Mabila]]/[[amavil]] | ||
13/5 | | 2/1 = [[Pelog]] | ||
8/3 | | 5/2 = Score | ||
11/3 | | 13/5 = Unnamed golden tuning (541.3837{{c}}) | ||
7/15 | | 8/3 = [[Casablanca]] | ||
6/1 | | 11/3 = [[Freivald]]/[[emka]] | ||
| 7/15 = [[Thuja]] | |||
| 6/1 = [[Liese]] ↓, [[triton]] ↓ | |||
}} | |||
[[Category:Antidiatonic| ]] <!-- main article --> | [[Category:Antidiatonic| ]] <!-- main article --> | ||