4L 5s: Difference between revisions

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'''4L 5s''' or '''orwelloid''' (named after the abstract temperament [[orwell]]) refers to the structure of [[MOS scales]] whose generator falls between 2\9 (two degrees of [[9edo|9edo]] = approx. 266.667¢) and 1\4 (one degree of [[4edo|4edo]] = 300¢). In the case of 9edo, L and s are the same size; in the case of 4edo, s is so small it disappears. The spectrum, then, goes something like:
'''4L 5s''' or '''orwelloid''' (named after the abstract temperament [[orwell]]) refers to the structure of [[MOS scales]] whose generator falls between 2\9 (two degrees of [[9edo|9edo]] = approx. 266.667¢) and 1\4 (one degree of [[4edo|4edo]] = 300¢).
 
== Notation ==
 
The notation used in this article is LsLsLsLss = JKLMNOPQRJ unless specified otherwise. We denote raising and lowering by a chroma (L − s) by & "amp" and @ "at". (Mnemonics: & "and" means additional pitch. @ "at" rhymes with "flat".)
 
Thus the 13edo gamut is as follows:
 
'''J/R&''' J&/K@ '''K/L@''' '''L/K&''' L&/M@ '''M/N@''' '''N/M&''' N&/O@ '''O/P@''' '''P/O&''' P&/Q@ '''Q/R@''' '''R/Q&/J@''' '''J'''
 
== Tuning ranges ==
 
=== Parasoft ===
 
<!-- "Orwell" tuning range -- todo -->
 
== Scale tree ==
 
In the case of 9edo, L and s are the same size; in the case of 4edo, s is so small it disappears. The spectrum, then, goes something like:


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