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

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===Hard step ratios ===

:''Main article: [[Pythagorean tuning]], [[Schismatic family#Schismatic aka Helmholtz|schismatic temperament]], and [[Archy]]''

The range of hard step ratios can be divided into a ~~minihard~~ range (2:1 ~~to 5:2), quasihard range (5:2~~ to 3:1), parahard range (3:1 to 4:1), and ultrahard range (4:1 to 1:0)~~. Specifically, the minihard range corresponds to Pythagorean tuning and schismatic temperament, quasihard to "neogothic" or "parapyth" systems, and parahard and ultrahard to "archy" systems~~.

The range of hard step ratios can be divided into a hypohard range (2:1 to 3:1), parahard range (3:1 to 4:1), and ultrahard range (4:1 to 1:0).

==== ~~Minihard~~ step ratios ====

==== Hypohard step ratios ====

{{MOS degrees|Scale Signature=5L 2s|Step Ratio=7/3; 9/4|Genchain Extend=0, 5}}

The flatter end of the hypohard region corresponds to Pythagorean tuning and schismic temperament, with perfect 5ths that are close to 702¢.{{MOS degrees|Scale Signature=5L 2s|Step Ratio=7/3; 9/4|Genchain Extend=0, 5}}

~~==== Quasihard step ratios ====~~

The sharper end of the hypohard region corresponds to "neogothic" or "parapyth" systems, with perfect 5ths that are sharper than 702¢.{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 5/2; 8/3|Genchain Extend=0, 5}}

{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 5/2; 8/3|Genchain Extend=0, 5}}

====Parahard and ultrahard step ratios====

{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 4/1; 5/1; 6/1|Genchain Extend=0, 5}}

The parahard and ultrahard ranges correspond to archy systems, with perfect 5ths that are significantly sharper than than 702¢.{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 4/1; 5/1; 6/1|Genchain Extend=0, 5}}

== Modes==

@@ Line 168: / Line 168: @@
 ===Hard step ratios ===
 :''Main article: [[Pythagorean tuning]], [[Schismatic family#Schismatic aka Helmholtz|schismatic temperament]], and [[Archy]]''
-The range of hard step ratios can be divided into a minihard range (2:1 to 5:2), quasihard range (5:2 to 3:1), parahard range (3:1 to 4:1), and ultrahard range (4:1 to 1:0). Specifically, the minihard range corresponds to Pythagorean tuning and schismatic temperament, quasihard to "neogothic" or "parapyth" systems, and parahard and ultrahard to "archy" systems.
+The range of hard step ratios can be divided into a hypohard range (2:1 to 3:1), parahard range (3:1 to 4:1), and ultrahard range (4:1 to 1:0).
-==== Minihard step ratios ====
+==== Hypohard step ratios ====
-{{MOS degrees|Scale Signature=5L 2s|Step Ratio=7/3; 9/4|Genchain Extend=0, 5}}
+The flatter end of the hypohard region corresponds to Pythagorean tuning and schismic temperament, with perfect 5ths that are close to 702¢.{{MOS degrees|Scale Signature=5L 2s|Step Ratio=7/3; 9/4|Genchain Extend=0, 5}}
-==== Quasihard step ratios ====
+The sharper end of the hypohard region corresponds to "neogothic" or "parapyth" systems, with perfect 5ths that are sharper than 702¢.{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 5/2; 8/3|Genchain Extend=0, 5}}
-{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 5/2; 8/3|Genchain Extend=0, 5}}
 ====Parahard and ultrahard step ratios====
-{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 4/1; 5/1; 6/1|Genchain Extend=0, 5}}
+The parahard and ultrahard ranges correspond to archy systems, with perfect 5ths that are significantly sharper than than 702¢.{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 4/1; 5/1; 6/1|Genchain Extend=0, 5}}
 == Modes==