SN scale: Difference between revisions

Inthar (talk | contribs)
m Examples: Used clearer wording for the subword replacement operation.
Inthar (talk | contribs)
m The elaboration belongs in the Definition section.
Line 4: Line 4:
a) A new smaller step at the top or bottom of every existing step, or
a) A new smaller step at the top or bottom of every existing step, or


b) The existing smallest step at the top or bottom of every larger step
b) The existing smallest step at the top or bottom of every larger step: i.e. replacing '''a''' with '''sa''' for every occurrence of any step '''a''' such that '''a''' > '''s''' at the current stage, where '''s''' is the current smallest step.


Each iteration of a) increasing the rank of the scale by 1.
Each iteration of a) increasing the rank of the scale by 1.
Line 14: Line 14:
==Examples ==
==Examples ==


The diatonic scale can be generated by iterating a) twice, introducing first the octave, then the perfect fifth, and then iterating b) 3 times, replacing '''a''' with '''sa''' for every occurrence of any step '''a''' such that '''a''' > '''s''' at the current stage ('''s''' is the current smallest step). It has step signature 5L 2s, and in the symmetric mode, it has step arrangement LsLLLsL. No other arrangement of 5 large and 2 small step sizes results in a SN scale.
The diatonic scale can be generated by iterating a) twice, introducing first the octave, then the perfect fifth, and then iterating b) 3 times. It has step signature 5L 2s, and in the symmetric mode, it has step arrangement LsLLLsL. No other arrangement of 5 large and 2 small step sizes results in a SN scale.


{| class="wikitable"
{| class="wikitable"