Biheptatonic scale: Difference between revisions

(One intermediate revision by the same user not shown)

Line 1:

A ~~'''diheptatonic''' or~~ '''biheptatonic scale''' is a 14-note octave-equivalent scale where both the set of odd-numbered notes and the set of even-numbered notes form a fixed choice of heptatonic scale. Following from this, ~~diheptatonic~~ scales based on a [[MOS]] heptatonic scale have a maximum of two sizes for intervals that are an even number of steps. All ~~diheptatonic~~ scales are [[~~flought scale~~]]s.

A '''biheptatonic scale''' is a 14-note octave-equivalent scale where both the set of odd-numbered notes and the set of even-numbered notes form a fixed choice of heptatonic scale. Following from this, biheptatonic scales based on a [[MOS]] heptatonic scale have a maximum of two sizes for intervals that are an even number of steps. All biheptatonic scales are [[interleaving]]s.

== JI ~~diheptatonic~~ scales ==

== JI biheptatonic scales ==

* Zil[14] is the following 2.3.5.7 group constant structure (or its chiral inverse): 36/35 16/15 8/7 6/5 128/105 4/3 48/35 3/2 32/21 8/5 12/7 9/5 64/35 2/1. It is ~~diheptatonic~~ with the 5-limit Zarlino heptatonic 16/15 6/5 4/3 3/2 8/5 9/5 2/1, separated by an offset of 8/7.

* Zil[14] is the following 2.3.5.7 group constant structure (or its chiral inverse): 36/35 16/15 8/7 6/5 128/105 4/3 48/35 3/2 32/21 8/5 12/7 9/5 64/35 2/1. It is biheptatonic with the 5-limit Zarlino heptatonic 16/15 6/5 4/3 3/2 8/5 9/5 2/1, separated by an offset of 8/7.

[[Category:14-tone scales]]

[[Category:Terms]]

@@ Line 1: / Line 1: @@
-A '''diheptatonic''' or '''biheptatonic scale''' is a 14-note octave-equivalent scale where both the set of odd-numbered notes and the set of even-numbered notes form a fixed choice of heptatonic scale. Following from this, diheptatonic scales based on a [[MOS]] heptatonic scale have a maximum of two sizes for intervals that are an even number of steps. All diheptatonic scales are [[flought scale]]s.
+A '''biheptatonic scale''' is a 14-note octave-equivalent scale where both the set of odd-numbered notes and the set of even-numbered notes form a fixed choice of heptatonic scale. Following from this, biheptatonic scales based on a [[MOS]] heptatonic scale have a maximum of two sizes for intervals that are an even number of steps. All biheptatonic scales are [[interleaving]]s.
-== JI diheptatonic scales ==
+== JI biheptatonic scales ==
-* Zil[14] is the following 2.3.5.7 group constant structure (or its chiral inverse): 36/35 16/15 8/7 6/5 128/105 4/3 48/35 3/2 32/21 8/5 12/7 9/5 64/35 2/1. It is diheptatonic with the 5-limit Zarlino heptatonic 16/15 6/5 4/3 3/2 8/5 9/5 2/1, separated by an offset of 8/7.
+* Zil[14] is the following 2.3.5.7 group constant structure (or its chiral inverse): 36/35 16/15 8/7 6/5 128/105 4/3 48/35 3/2 32/21 8/5 12/7 9/5 64/35 2/1. It is biheptatonic with the 5-limit Zarlino heptatonic 16/15 6/5 4/3 3/2 8/5 9/5 2/1, separated by an offset of 8/7.
 [[Category:14-tone scales]]
 [[Category:Terms]]