MOS substitution: Difference between revisions

Inthar (talk | contribs)
mNo edit summary
Inthar (talk | contribs)
No edit summary
Line 1: Line 1:
'''MOS substitution''' is a procedure for obtaining a [[arity|ternary]] scale with arbitrary [[scale signature]] ''a'''''L'''''b'''''m'''''c'''''s'''.  
'''MOS substitution''' is a procedure for obtaining a [[arity|ternary]] scale with arbitrary [[scale signature]] <math>a\mathbf{L}b\mathbf{m}c\mathbf{s}</math>.  
== Conventions ==
== Conventions ==
* Boldface Latin variables are step sizes, and '''L''' > '''m''' > '''s''' > '''0'''. '''0''' denotes the zero interval (0 cents).
* Boldface Latin variables are step sizes, and <math>\mathbf{L} > \mathbf{m} > \mathbf{s} > \mathbf{0}.</math> <math>\mathbf{0}</math> denotes the zero interval (0 cents).
* Italic lowercase Latin variables are integers.
* Italic lowercase Latin variables are integers.
* Italic uppercase Latin variables are scale words.
* Italic uppercase Latin variables are scale words.
* Function names in sans serif font are scale constructions.
* Function names in sans serif font are scale constructions.
* For integers ''m'' and ''n'', (''m'', ''n'') := gcd(''m'', ''n'').
* For integers <math>m, n, \ (m, n) := \gcd(m, n).</math>


== Motivation ==
== Motivation ==