TAMNAMS: Difference between revisions

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m →Mos pattern names: clarified -wd names (abbreviating "tetra" to "tet" might be confusing and similarly abbreviating "monowood to "monowud" is pointless (only one letter shorter and one of the letters are wrong)
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::: (End of '''hyposoft''' range here.)
::: (End of '''hyposoft''' range here.)


'''Quintesssential''': L/s = 2/1
'''Basic''': L/s = 2/1


::: (Beginning of '''hypohard''' range here.)
::: (Beginning of '''hypohard''' range here.)
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The idea is to start with the simplest ratios (L/s = 1/0 and L/s = 1/1) and derive more complex ratios through repeated application of the [[mediant]] (aka Farey addition) to adjacent fractions.
The idea is to start with the simplest ratios (L/s = 1/0 and L/s = 1/1) and derive more complex ratios through repeated application of the [[mediant]] (aka Farey addition) to adjacent fractions.


* Applying the mediant to the starting intervals 1/0 and 1/1 gives (1+1)/(1+0) = 2/1, and as this is the simplest possible ratio where the large and small step are distinguished and nonzero, it is called the ''quintessential'' (''quintess.'' or ''essential'' for short) or ''basic'' tuning. (Note that if applying the mediant to 1/0 seems confusing, think of it as equivalent to applying the mediant to 0/1 and 1/1 and the ratios as flipped, thus representing s/L rather than L/s when written this way.)
* Applying the mediant to the starting intervals 1/0 and 1/1 gives (1+1)/(1+0) = 2/1, and as this is the simplest possible ratio where the large and small step are distinguished and nonzero, it is called the ''basic'' tuning. (Note that if applying the mediant to 1/0 seems confusing, think of it as equivalent to applying the mediant to 0/1 and 1/1 and the ratios as flipped, thus representing s/L rather than L/s when written this way.)


* As L/s = 1/1 represents L and s being equal in size, it is called ''equalized''.
* As L/s = 1/1 represents L and s being equal in size, it is called ''equalized''.
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* Anything softer than supersoft is ''ultrasoft,'' and anything harder than superhard is ''ultrahard''. Something between soft and supersoft is ''parasoft'', as ''para-'' means both ''beyond'' and ''next to''. Something between hard and superhard is ''parahard''.
* Anything softer than supersoft is ''ultrasoft,'' and anything harder than superhard is ''ultrahard''. Something between soft and supersoft is ''parasoft'', as ''para-'' means both ''beyond'' and ''next to''. Something between hard and superhard is ''parahard''.


* Something between soft and basic is ''hyposoft'' as it is less soft than soft. Something between hard and basic is ''hypohard'' for the same reason. Between semisoft and quintessential is ''minisoft'' and between semihard and quintessential is ''minihard''.
* Something between soft and basic is ''hyposoft'' as it is less soft than soft. Something between hard and basic is ''hypohard'' for the same reason. Between semisoft and basic is ''minisoft'' and between semihard and basic is ''minihard''.


* Finally, between soft and semisoft is ''quasisoft'' as such scales may potentially be mistaken for soft or semisoft while not being either - hence the use of the prefix ''quasi-'', and between hard and semihard is ''quasihard'' for the same reason.
* Finally, between soft and semisoft is ''quasisoft'' as such scales may potentially be mistaken for soft or semisoft while not being either - hence the use of the prefix ''quasi-'', and between hard and semihard is ''quasihard'' for the same reason.