TAMNAMS/Appendix: Difference between revisions
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* 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''. | * 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. | ||
The reasoning for the ''para- super- ultra-'' progression (note that ''super-'' is the odd one out as it refers to an exact ratio) is it mirrors naming for shades of musical intervals and because ''parapythagorean'' is between ''pythagorean'' and ''superpythagorean''. | The reasoning for the ''para-/super-/ultra-'' progression (note that ''super-'' is the odd one out as it refers to an exact ratio) is it mirrors naming for shades of musical intervals and because ''[[parapythagorean]]'' is between ''pythagorean'' and ''[[superpythagorean]]''. | ||
This results in the ''central spectrum''—an elegant system which names all exact L/s ratios in the 5-integer-limit excepting only 5/1 and 5/4 which are disincluded intentionally for a variety of reasons: to keep the maximum corresponding notes per period in an [[EPD|equal pitch division]] low, because it keeps the 'tree' of mediants complete to a certain number of layers, and because their disinclusion gives a roughly-equally-spaced set of ratios, with the regions between 4/3 and 1/1 and between 4/1 and 1/0 being the only exceptions—corresponding to extreme tunings. Note that filling in those extreme regions is the purpose of the extended spectrum | This results in the ''central spectrum''—an elegant system which names all exact L/s ratios in the 5-integer-limit excepting only 5/1 and 5/4 which are disincluded intentionally for a variety of reasons: to keep the maximum corresponding notes per period in an [[EPD|equal pitch division]] low, because it keeps the 'tree' of mediants complete to a certain number of layers, and because their disinclusion gives a roughly-equally-spaced set of ratios, with the regions between 4/3 and 1/1 and between 4/1 and 1/0 being the only exceptions—corresponding to extreme tunings. Note that filling in those extreme regions is the purpose of the extended spectrum | ||