2L 5s: Difference between revisions

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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; 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}}
{{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 ==
{{Scale tree|Comments=6/5: [[Gravity]]↑;
{{MOS tuning spectrum
3/2: [[Mavila]];
| 6/5 = [[Gravity]] 
13/8: Golden mavila (527.1497¢);
| 3/2 = [[Mavila]]
9/5: [[Mabila]]/[[amavil]];
| 13/8 = Golden mavila (527.1497{{c}})
5/2: Score;
| 9/5 = [[Mabila]]/[[amavil]]
13/5: Unnamed golden tuning (541.3837¢);
| 5/2 = Score
8/3: [[Casablanca]];
| 13/5 = Unnamed golden tuning (541.3837{{c}})
11/3: [[Freivald]]/[[emka]];
| 8/3 = [[Casablanca]]
7/15: [[Thuja]];
| 11/3 = [[Freivald]]/[[emka]]
6/1: [[Liese]]↓, [[triton]]↓}}
| 7/15 = [[Thuja]]
| 6/1 = [[Liese]] ↓, [[triton]] 
}}


[[Category:Antidiatonic| ]] <!-- main article -->
[[Category:Antidiatonic| ]] <!-- main article -->