10ed5: Difference between revisions

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In general, 10ed5 is simply a smashing tuning. The relatively large small steps, about the size of a minor third or an orwell generator, actually work for melodies, and it's harmonies while strange have no lack of impact. It can be used such that the fifth harmonic is equivalent, but of course, doesn't have to.

As 5ed5 is the simplest [[~~Hyperpyth|~~hyperpyth]] tuning, analogous to [[~~5edo|~~5edo]] and [[~~4edt|~~4edt]] in their own spheres, this, its double, can be compared, structurally, to, [[10edo|10edo]]. While its approximations of 9/5, 17/5 and 21/5 are quite far off, these are still categorically important intervals.

As 5ed5 is the simplest [[hyperpyth]] tuning (analogous to [[5edo]] and [[4edt]] in their own spheres) this, its double, can be compared structurally to [[10edo|10edo]]. While its approximations of 9/5, 17/5 and 21/5 are quite far off, these are still categorically important intervals. It is especially important as a structural framework for the [[5.7.11.13 subgroup]].

Adding octaves~~, strangely enough,~~ relates this tuning to [[43edo]].

Adding octaves relates this tuning to [[43edo]], which divides the step in ten.

== Harmonics ==

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 In general, 10ed5 is simply a smashing tuning. The relatively large small steps, about the size of a minor third or an orwell generator, actually work for melodies, and it's harmonies while strange have no lack of impact. It can be used such that the fifth harmonic is equivalent, but of course, doesn't have to.
-As 5ed5 is the simplest [[Hyperpyth|hyperpyth]] tuning, analogous to [[5edo|5edo]] and [[4edt|4edt]] in their own spheres, this, its double, can be compared, structurally, to, [[10edo|10edo]]. While its approximations of 9/5, 17/5 and 21/5 are quite far off, these are still categorically important intervals.
+As 5ed5 is the simplest [[hyperpyth]] tuning (analogous to [[5edo]] and [[4edt]] in their own spheres) this, its double, can be compared structurally to [[10edo|10edo]]. While its approximations of 9/5, 17/5 and 21/5 are quite far off, these are still categorically important intervals. It is especially important as a structural framework for the [[5.7.11.13 subgroup]].
-Adding octaves, strangely enough, relates this tuning to [[43edo]].
+Adding octaves relates this tuning to [[43edo]], which divides the step in ten.
 == Harmonics ==