20ed5: Difference between revisions

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<span style="">One way of looking at it comes by constructing it via four tempered 3/2</span> ([[Meantone|meantone]] without octaves) <span style="">each of which is divided</span> into five tones, which in turn approximate 11/8 13/8 7/6 etc., and themselves end up on the "pentave", 5/1, wherein the scale repeats itself. By analogy to common practice, this is familiar extended meantone but ''turned entirely inside-out''. Interestingly, while Hieronymus does not repeat at the octave or even approximate it well, factors of 2 are nevertheless important to its perception and structure; it might even be helpful to think of the 3/2 intervals as a cellular structure of sorts.

Adding octaves makes it [[Meantone_family#Jerome|jerome temperament]], with generator a meantone fifth divided in five, and Hieronymus is the generator chain of that. Jerome/Hieronymus only really comes into its own as a higher limit temperament, as a 13, or even higher limit system. It is related to [[43edo]], and ~~its~~ 5\43 ~~interval~~ can be used as a generator.

Adding octaves makes it [[Meantone_family#Jerome|jerome temperament]], with generator a meantone fifth divided in five, and Hieronymus is the generator chain of that. Jerome/Hieronymus only really comes into its own as a higher limit temperament, as a 13, or even higher limit system. It is related to [[43edo]], and 5\43 can be used as a generator.

[[Category:ed5]]

[[Category:edonoi]]

[[Category:todo:add_sound_examples]]

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 <span style="">One way of looking at it comes by constructing it via four tempered 3/2</span> ([[Meantone|meantone]] without octaves) <span style="">each of which is divided</span> into five tones, which in turn approximate 11/8 13/8 7/6 etc., and themselves end up on the "pentave", 5/1, wherein the scale repeats itself. By analogy to common practice, this is familiar extended meantone but ''turned entirely inside-out''. Interestingly, while Hieronymus does not repeat at the octave or even approximate it well, factors of 2 are nevertheless important to its perception and structure; it might even be helpful to think of the 3/2 intervals as a cellular structure of sorts.
-Adding octaves makes it [[Meantone_family#Jerome|jerome temperament]], with generator a meantone fifth divided in five, and Hieronymus is the generator chain of that. Jerome/Hieronymus only really comes into its own as a higher limit temperament, as a 13, or even higher limit system. It is related to [[43edo]], and its 5\43 interval can be used as a generator.
+Adding octaves makes it [[Meantone_family#Jerome|jerome temperament]], with generator a meantone fifth divided in five, and Hieronymus is the generator chain of that. Jerome/Hieronymus only really comes into its own as a higher limit temperament, as a 13, or even higher limit system. It is related to [[43edo]], and 5\43 can be used as a generator.
 [[Category:ed5]]
 [[Category:edonoi]]
 [[Category:todo:add_sound_examples]]