5L 2s: Difference between revisions

Ganaram inukshuk (talk | contribs)
Simple tunings: Test out complements-only option
Ganaram inukshuk (talk | contribs)
Tuning ranges: Refine ratio search for (most) tables
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[[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 tunings|JI Ratios=Prime Limit: 11; Int Limit: 30; Complements Only: 1}}
{{MOS tunings|JI Ratios=Tenney Height: 10; Int Limit: 27|Tolerance=10}}


=== Ultrasoft tunings ===
=== Ultrasoft tunings ===
{{MOS tunings|Step Ratios=Ultrasoft}}
{{MOS tunings|Step Ratios=Ultrasoft|JI Ratios=NONE}}


=== Parasoft tunings ===
=== Parasoft tunings ===
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Edos include [[19edo]], [[26edo]], [[45edo]], and [[64edo]].
Edos include [[19edo]], [[26edo]], [[45edo]], and [[64edo]].


{{MOS tunings|Step Ratios=Parasoft|JI Ratios=Prime Limit: 13; Int Limit: 30; Tenney Height: 8}}
{{MOS tunings|Step Ratios=Parasoft|JI Ratios=Subgroup: 2.3.5.7.13; Int Limit: 27; Tenney Height: 7.9}}


=== Hyposoft tunings ===
=== Hyposoft tunings ===
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Edos include [[19edo]], [[31edo]], [[43edo]], and [[50edo]].
Edos include [[19edo]], [[31edo]], [[43edo]], and [[50edo]].


{{MOS tunings|Step Ratios=Hyposoft|JI Ratios=Prime Limit: 5; Int Limit: 40; Tenney Height: 10}}
{{MOS tunings|Step Ratios=Hyposoft|JI Ratios=Subgroup:2.3.5; Int Limit: 40; Tenney Height: 10|Tolerance=15}}


=== Hypohard tunings ===
=== Hypohard tunings ===
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The range of hypohard tunings can be divided into a minihard range (2:1 to 5:2) and quasihard range (5:2 to 3:1).
The range of hypohard tunings can be divided into a minihard range (2:1 to 5:2) and quasihard range (5:2 to 3:1).
{{MOS tunings|Step Ratios=Hypohard}}
 
{{MOS tunings|Step Ratios=Hypohard|JI Ratios=NONE}}


==== Minihard tunings ====
==== Minihard tunings ====
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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 tunings|Step Ratios=Quasihard|JI Ratios=Subgroup: 2.3.7.11.13; Int Limit: 30}}
{{MOS tunings|Step Ratios=Quasihard|JI Ratios=Subgroup: 2.3.7.11.13; Int Limit: 30; Tenney Height: 9|Tolerance=12}}


=== Parahard and ultrahard tunings ===
=== Parahard and ultrahard tunings ===