Corollaries: Difference between revisions

(One intermediate revision by the same user not shown)

Line 3:

Corollaries are obvious to some, not-so-obvious to others. They are useful to have a grip on.

* [[Equal temperament]]s are equal on the logarithmic scale, and [[harmonic series]] are equal on the frequency scale. The logarithmic scale is the logarithm of the frequency scale. (Could a logarithm of the logarithm scale be useful? Or an exponential of the frequency scale? Or a power of any one of these?)

* [[Equal temperament]]s are equal on the logarithmic scale, and [[harmonic series]] are equal on the frequency scale. The logarithmic scale is the logarithm of the frequency scale. (Could a logarithm of the logarithm scale be useful? Or an exponential of the frequency scale? Or a power of any one of these? - see [[PFDO]]?)

* [[Prime_edo|Prime edos]] make every interval repeated cycle through the whole thing. --[[William Lynch]].

Line 11:

* A [[tenth]] splits the difference between the [[octave]] and the [[twelfth]].

[[Category:Lists]]

* "''The more subtle refinement is not yet with us and can only come by the use of a scale more minutely divided than our own; this would educate the ear to something finer than we have yet heard.''" - [[Edward Elgar]]

@@ Line 3: / Line 3: @@
 Corollaries are obvious to some, not-so-obvious to others. They are useful to have a grip on.
-* [[Equal temperament]]s are equal on the logarithmic scale, and [[harmonic series]] are equal on the frequency scale. The logarithmic scale is the logarithm of the frequency scale. (Could a logarithm of the logarithm scale be useful? Or an exponential of the frequency scale? Or a power of any one of these?)
+* [[Equal temperament]]s are equal on the logarithmic scale, and [[harmonic series]] are equal on the frequency scale. The logarithmic scale is the logarithm of the frequency scale. (Could a logarithm of the logarithm scale be useful? Or an exponential of the frequency scale? Or a power of any one of these? - see [[PFDO]]?)
 * [[Prime_edo|Prime edos]] make every interval repeated cycle through the whole thing. --[[William Lynch]].
@@ Line 11: / Line 11: @@
 * A [[tenth]] splits the difference between the [[octave]] and the [[twelfth]].
 [[Category:Lists]]
+* "''The more subtle refinement is not yet with us and can only come by the use of a scale more minutely divided than our own; this would educate the ear to something finer than we have yet heard.''" - [[Edward Elgar]]