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m Realized "5L 2s as a mos" is redundant (it's already a mos!); renamed section to "generalizing whole and half steps"
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→Temperament interpretations: Added back step ratios (work-in-progress)
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5L 2s has several temperament interpretations, such as:
5L 2s has several temperament interpretations, such as:


* Flattone, with a generator size around 694¢, corresponding to a step ratio of around 4:3.
* Flattone, with a generator size around 694¢, corresponding to a step ratio within the ultrasoft to parasoft range (6:5 to 3:2).
* Meantone, with a generator size around 696¢, corresponding to a step ratio of around 5:3.
*Meantone, with a generator size around 696¢, corresponding to a step ratio within the hyposoft range (3:2 to 2:1).
* Schismic, with a generator size around 702¢ (just perfect 5th, or 3/2), corresponding to a step ratio between 2:1 and 5:2.
*Schismic, with a generator size around 702¢ (just perfect 5th, or 3/2), corresponding to a step ratio within the hypohard range (2:1 to 3:2).
** Pythagorean tuning also has a generator of 702¢.
*Parapyth, with a generator size ranging between 702¢ and 705¢, corresponding to a step ratio within the quasihard to range (5:2 to 3:1).
* Parapyth, with a generator size ranging between 702¢ and 705¢, corresponding to a step ratio between 5:2 and 3:1.
*Archy, with a generator size greater than 705¢, corresponding to a step ratio within the parahard to ultrahard range (greater than 3:1).
* Archy, with a generator size greater than 705¢, corresponding to a step ratio between 3:1 and 5:1.
 
== Step ratios==
 
===Parasoft to ultrasoft===
 
===Hyposoft===
Hyposoft tunings correspond to meantone temperaments, characterized by flattening the perfect 5th from just (3/2) to achieve a diatonic major 3rd that approximates 5/4 (386¢). Examples of this include 19edo (step ratio 3:2) and 31edo (step ratio 5:3).
 
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/2; 5/3}}
 
===Hypohard===
 
===Parahard to ultrahard===


==Modes==
==Modes==
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{{MOS modes|Scale Signature=5L 2s}}
{{MOS modes|Scale Signature=5L 2s}}
==Scales==
==Scales==
=== Scala files ===
* [[Meantone7]] – 19edo and 31edo tunings
* [[Nestoria7]] – 171edo tuning
* [[Pythagorean7]] – Pythagorean tuning
* [[Garibaldi7]] – 94edo tuning
* [[Cotoneum7]] – 217edo tuning
* [[Pepperoni7]] – 271edo tuning
* [[Supra7]] – 56edo tuning
* [[Archy7]] – 472edo tuning
=== MODMOS scales and muddles ===
{{main| 5L 2s MODMOSes }} ''and [[5L 2s Muddles]]''
=== Parent and daughter MOS scales ===
5L 2s has a parent scale of 2L 3s, meaning 5L 2s contains 2L 3s as a subset. 5L 2s also has two daughter scales that both contain 5L 2s as a subset: either 7L 5s (if the step ratio is less than 2:1) or 5L 7s (if the step ratio is greater than 2:1). A step ratio exactly 2:1 will produce an equalized form of both 7L 5s and 5L 7s, corresponding to 12edo.
==Tuning spectrum==
==Tuning spectrum==
{{Scale tree|5L 2s|depth=6|Comments=7/5:[[Flattone]] is in this region;21/13:[[Golden meantone]] (696.2145¢);5/3:[[Meantone]] is in this region;2/1:(Generators smaller than this are proper);9/4:The generator closest to a just [[3/2]] for EDOs less than 200;16/7:[[Garibaldi]] / [[Cassandra]];21/8:Golden neogothic (704.0956¢);8/3:[[Neogothic]] is in this region;4/1:[[Archy]] is in this region|tuning=5L 2s}}
== See also ==
* [[Diatonic functional harmony]]
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