Generator-offset property: Difference between revisions

@@ Line 15: / Line 15: @@
 This doesn't imply that g<sub>1</sub> and g<sub>2</sub> are the same number of scale steps. For example, 5-limit [[blackdye]] has g<sub>1</sub> = 9/5 (a 9-step)  and g<sub>2</sub> = 5/3 (a 7-step).
-More generally, we say that a scale is ''m'''''-GO''' if both of the following hold:
-# the scale consists of ''m'' + 1 chains of stacked generator g (implying ''m'' offsets δ<sub>1</sub>, ...,δ<sub>''m''</sub> from a fixed chain), each chain having either ''j'' or ''j'' + 1 notes.
-# The scale is well-formed with respect to g.
-(Thus 1-GO is the same thing as GO.)
-An ''m''-GO scale can be interpreted as a scale in a rank-(''m'' + 2) [[regular temperament]], with basis p (period), g, δ<sub>1</sub>, ...,δ<sub>''m''</sub> (though the specific tuning used may be of lower rank).
 == Conventions used on this page ==