Diaslen: Difference between revisions

'''{{PAGENAME}}''' (also denoted 4s in [[groundfault]]'s [[aberrismic theory]]) is a family of quasi-diatonic ternary scale patterns with [[scale signature]] 5L2m4s, so named by groundfault who considers [[33edo]]'s L:m:s = 5:2:1 a good tuning for it. The name ''diamech'' is a blend of ''dia-'' and the [[TAMNAMS]] prefix ''mech-'' for [[machinoid]]. [[23edo]] is the only edo without a diatonic fifth that has a 5L2mks ternary scale pattern, namely 5L2m4s with L:m:s = 3:2:1.

The three standard diamech scale patterns, denoted 4sL (LsLsLmLsLsm), 4sC (LmLsLsLmLss), and 4sR (LsLmLsLsLms), may be constructed via [[MOS substitution]], giving [[generator sequence]]s for the three scales:

|colspan=2| GS('''L'''+'''s''', '''L'''+'''s''', '''L'''+'''m''')  

|}

The standard untempered 2.3.7 interpretation for diamech has L = [[9/8]], m = [[49/48]], s = [[64/63]].

[[Category:Rank-3 scales]]

[[Category:Aberrismic theory]]