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User:Ganaram inukshuk/5L 2s: Difference between revisions

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Sandboxed an alternate layout for the intervals module, closer to what is (at the time) used for the 5L 3s page (but without genchain info and in ascending order of pitch); sandboxed a scale construction clause (select a variety for each interval class and you may either get a mos or modmos)
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{{Infobox MOS|Tuning=5L 2s}}
{{Infobox MOS|Tuning=5L 2s|debug=1}}
:''This is a test page. For the main page, see [[5L 2s]].''
:''This is a test page. For the main page, see [[5L 2s]].''
{{MOS intro|Scale Signature=5L 2s}}
{{MOS intro|Scale Signature=5L 2s}}
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===Simple tunings===
===Simple tunings===
[[17edo]] and [[19edo]] are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.
[[17edo]] and [[19edo]] are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=2/1; 3/1; 3/2|Genchain Extend=7|Notation=NONE}}
===Parasoft tunings ===
===Parasoft tunings ===
:''Main article: [[Flattone]]''
:''Main article: [[Flattone]]''
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Edos include [[19edo]], [[26edo]], [[45edo]], and [[64edo]].
Edos include [[19edo]], [[26edo]], [[45edo]], and [[64edo]].
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/2; 4/3; 7/5; 10/7|Genchain Extend=0, 5|Notation=NONE}}
===Hyposoft tunings===
===Hyposoft tunings===
:''Main article: [[Meantone]]''
:''Main article: [[Meantone]]''
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Edos include [[19edo]], [[31edo]], [[43edo]], and [[50edo]].
Edos include [[19edo]], [[31edo]], [[43edo]], and [[50edo]].
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/2; 5/3; 7/4; 8/5|Genchain Extend=0, 5|Notation=NONE}}
===Hypohard tunings===
===Hypohard tunings===
:''Main article: [[Pythagorean tuning]] and [[Schismatic family#Schismatic aka Helmholtz|schismatic temperament]]''
:''Main article: [[Pythagorean tuning]] and [[Schismatic family#Schismatic aka Helmholtz|schismatic temperament]]''
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Edos include [[41edo]] and [[53edo]].
Edos include [[41edo]] and [[53edo]].
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=7/3; 9/4|Genchain Extend=0, 5|Notation=NONE}}
==== Quasihard tunings====
==== Quasihard tunings====
Quasihard tunings correspond to "neogothic" or "parapyth" systems whose perfect 5th is slightly sharper than just, resulting in major 3rds that are sharper than 81/64 and minor 3rds that are slightly flat of [[32/27]] (294¢).
Quasihard tunings correspond to "neogothic" or "parapyth" systems whose perfect 5th is slightly sharper than just, resulting in major 3rds that are sharper than 81/64 and minor 3rds that are slightly flat of [[32/27]] (294¢).


Edos include [[17edo]], [[29edo]], and [[46edo]]. 17edo is considered to be on the sharper end of the neogothic spectrum, with a major 3rd that is more discordant than flatter neogothic tunings.
Edos include [[17edo]], [[29edo]], and [[46edo]]. 17edo is considered to be on the sharper end of the neogothic spectrum, with a major 3rd that is more discordant than flatter neogothic tunings.
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 5/2; 8/3|Genchain Extend=0, 5|Notation=NONE}}
===Parahard and ultrahard tunings===
===Parahard and ultrahard tunings===
:''Main article: [[Archy]]''
:''Main article: [[Archy]]''
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Edos include [[17edo]], [[22edo]], [[27edo]], and [[32edo]], among others.
Edos include [[17edo]], [[22edo]], [[27edo]], and [[32edo]], among others.
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 4/1; 5/1; 6/1|Genchain Extend=0, 5|Notation=NONE}}
==Modes==
==Modes==
Diatonic modes have standard names from classical music theory:
Diatonic modes have standard names from classical music theory:
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|Perfect (C)
|Perfect (C)
|}
|}
== Generator chain ==
''Explain how the scale can also be generated by stacking 6 generating intervals in any combination of up or down from the root. Also explain how this can be extended further to 11 generators to produce chromatic scales.''


==Scales==
==Scales==
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==Scale tree ==
==Scale tree ==
{{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}}
{{MOS tuning spectrum
| Scale Signature = 5L 2s
| Depth = 6
| 7/5 = [[Flattone]] is in this region
| 21/13 = [[Golden meantone]] (696.2145{{c}})
| 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{{c}})
| 8/3 = [[Neogothic]] is in this region
| 4/1 = [[Archy]] is in this region
}}
 
==See also==
==See also==
 
* [[Diatonic functional harmony]]
*[[Diatonic functional harmony]]
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