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===Note names===
===Note names===
Note names are identical to that of standard notation. Thus, the basic gamut for 5L 2s is the following:
Note names are identical to that of standard notation. Thus, the basic (12edo) gamut for 5L 2s is the following:


{{MOS gamut|Scale Signature=5L 2s}}
{{MOS gamut|Scale Signature=5L 2s}}
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== Step ratio ranges==
== Step ratio ranges==
This section describes step ratio ranges for 5L 2s and what rank-2 temperaments they correspond to. Although the two may have closely correspond with one another, the purpose of step ratios is to describe 5L 2s without necessarily using [[regular temperament theory]].


=== Simple step ratios ===
=== Simple step ratios ===
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====Hyposoft step ratios====
====Hyposoft step ratios====
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/2; 5/3; 7/4; 8/5|Genchain Extend=0, 5}}
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/2; 5/3; 7/4; 8/5|Genchain Extend=0, 5}}
===Hypohard step ratios ===
===Hard step ratios ===
:''Main article: [[Pythagorean tuning]] and [[Schismatic family#Schismatic aka Helmholtz|schismatic temperament]]''
:''Main article: [[Pythagorean tuning]], [[Schismatic family#Schismatic aka Helmholtz|schismatic temperament]], and [[Archy]]''
The range of hypohard step ratios can be divided into a minihard range (2:1 to 5:2) and quasihard range (5:2 to 3:1). Specifically, the minihard range corresponds to Pythagorean tuning and schismatic temperament, and quasihard to "neogothic" or "parapyth" systems.
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.
==== Minihard step ratios ====
==== Minihard step ratios ====
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=7/3; 9/4|Genchain Extend=0, 5}}
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=7/3; 9/4|Genchain Extend=0, 5}}
==== Quasihard step ratios ====
==== Quasihard step ratios ====
{{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===
====Parahard and ultrahard step ratios====
:''Main article: [[Superpyth]]''
Parahard and ultrahard step ratios (3:1 or harder) correspond to "archy" systems, such as superpyth.
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 4/1; 5/1; 6/1|Genchain Extend=0, 5}}
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 4/1; 5/1; 6/1|Genchain Extend=0, 5}}


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