Reticular intonation: Difference between revisions

(2 intermediate revisions by one other user not shown)

Line 3:

Largely in theory, then, the types of RI are the following:

* Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[~~Bohlen-Pierce~~]] Lambda scale is the canonical example of this type)

* Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[Bohlen–Pierce]] [[Lambda]] scale is the canonical example of this type)

* Diagonal: based on any other interval (the family of [[EDF|edf]]s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)

For entirely practical purposes, however, only the diagonal type contains intervals which have unlimited utility as the base of a scale; a seventh entirely and a sixth partially being too wide to seriously muddy close voicings of triads and a tenth being narrow enough to create a scale which entirely coheres. Incidentally, therefore, 2/1 is not the axis of symmetry of this region, being in fact significantly flat of that interval, itself not even being a simple fraction of 2/1 (although essentially, if not exactly 2 degrees of [[3edt]]).

[[Category:Tuning]]

@@ Line 3: / Line 3: @@
 Largely in theory, then, the types of RI are the following:
-* Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[Bohlen-Pierce]] Lambda scale is the canonical example of this type)
+* Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[Bohlen–Pierce]] [[Lambda]] scale is the canonical example of this type)
 * Diagonal: based on any other interval (the family of [[EDF|edf]]s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)
 For entirely practical purposes, however, only the diagonal type contains intervals which have unlimited utility as the base of a scale; a seventh entirely and a sixth partially being too wide to seriously muddy close voicings of triads and a tenth being narrow enough to create a scale which entirely coheres. Incidentally, therefore, 2/1 is not the axis of symmetry of this region, being in fact significantly flat of that interval, itself not even being a simple fraction of 2/1 (although essentially, if not exactly 2 degrees of [[3edt]]).
+{{todo|inline=1|review|clarify}}
 [[Category:Tuning]]