User:Ganaram inukshuk/5L 2s: Difference between revisions
m →Temperament interpretations: generators now reference the temperaments subpage's optimal generators |
→Tuning ranges: Added simple tunings |
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== Tuning ranges== | == Tuning ranges== | ||
17edo and 19edo are the smallest edos that requires the least amount of new notation, if any. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo. | |||
Larger edos are described in the following subsections. | |||
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=2/1; 3/1; 3/2}} | |||
===Parasoft=== | ===Parasoft=== | ||
:''Main article: [[Flattone]]'' | :''Main article: [[Flattone]]'' | ||
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===Hyposoft=== | ===Hyposoft=== | ||
:''Main article: [[Meantone]]'' | :''Main article: [[Meantone]]'' | ||
Hyposoft tunings (step ratio between 3:2 to 2:1) correspond to meantone temperaments, characterized by flattening the perfect 5th (3/2) to achieve a diatonic major 3rd that approximates 5/4 (386¢). Compatible edos include 19edo, 31edo, and 50edo. | Hyposoft tunings (step ratio between 3:2 to 2:1) correspond to meantone temperaments, characterized by flattening the perfect 5th (3/2) to achieve a diatonic major 3rd that approximates 5/4 (386¢). Compatible edos include 19edo, 31edo, 43edo, and 50edo. | ||
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/2; 5/3; 8/5}} | {{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/2; 5/3; 7/4; 8/5}} | ||
===Hypohard === | ===Hypohard === | ||
:''Main articles: [[Pythagorean tuning]] and [[Schismatic family#Schismatic aka Helmholtz|schismatic temperament]]'' | :''Main articles: [[Pythagorean tuning]] and [[Schismatic family#Schismatic aka Helmholtz|schismatic temperament]]'' | ||
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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. | 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=5/2; 8/3 | {{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 5/2; 8/3}} | ||
===Parahard and ultrahard=== | ===Parahard and ultrahard=== | ||
Parahard and ultrahard tunings (step ratio 3:1 or sharper) correspond to "archy" systems. Compatible edos include 17edo, 22edo, and 27edo. | Parahard and ultrahard tunings (step ratio 3:1 or sharper) correspond to "archy" systems. Compatible edos include 17edo, 22edo, and 27edo. |