11edo smitonic

The intervals of the symmetric LsLsLsL mode (harmonics in bold): Sortable table of major and minor intervals in hypohard smitonic tunings:

Degree 11edo value Note name on J #Gens up
unison 0\11, 0.0 J 0
minor mos2nd 1\11, 109.1 K@ +4
major mos2nd 2\11, 218.2 K -3
perf. mos3rd 3\11, 327.3 L +1
aug. mos3rd 4\11, 436.4 L& -6
minor mos4th 4\11, 436.4 M@ +5
major mos4th 5\11, 545.5 M -2
minor mos5th 6\11, 656.6 N +2
major mos5th 7\11, 763.6 N& -5
dim. mos6th 7\11, 763.6 O@ +6
perf. mos6th 8\11, 872.7 O -1
minor mos7th 9\11, 981.8 P +3
major mos7th 10\11, 1090.9 P& -4
  • consonances: major 2nd, minor 3rd, sharp fourth, the minor seventh
  • dissonances: minor 2nd, major 3nd, flat fifth, minor 6th, major seventh

18edo smitonic

Degree 18edo value Note name on J #Gens up
unison 0\18, 0.0 J 0
chroma 1\18, 66.7 J& -7
dim. mos2nd 1\18, 66.7 K@@ +11
minor mos2nd 2\18, 133.3 K@ +4
major mos2nd 3\18, 200.0 K -3
aug. mos2nd 4\18, 266.7 K& -10
dim. mos3rd 4\18, 266.7 L@ +8
perf. mos3rd 5\18, 333.3 L +1
aug. mos3rd 6\18, 400.0 L& -6
doubly aug. mos3rd 7\18, 466.7 L&& -13
dim. mos4th 6\18, 400.0 M@@ +12
minor mos4th 7\18, 466.7 M@ +5
major mos4th 8\18, 533.3 M -2
aug. mos4th 9\18, 600.0 M& -9
dim. mos5th 9\18, 600.0 N@ +9
minor mos5th 10\18, 666.7 N +2
major mos5th 11\18, 733.3 N& -5
aug. mos5th 12\18, 800.0 N&& -12
doubly dim. mos6th 11\18, 733.3 O@@ +13
dim. mos6th 12\18, 800.0 O@ +6
perf. mos6th 13\18, 866.7 O -1
aug. mos6th 14\18, 933.3 O& -8
dim. mos7th 14\18, 933.3 P@ +10
minor mos7th 15\18, 1000.0 P +3
major mos7th 16\18, 1066.7 P& -4
aug. mos7th 17\18, 1133.3 P& -11
dim. mosoctave 17\18, 1133.3 J@ +7

Modal harmony

MODMOSes and chroma modification become more important. Use MODMOSes with SS = diminished mos3rd = 266.67¢. For example, rotations of LLLSLSS.

or 5L 1M 1S: LLMLLLS or LLSLLLM

Treat it as neutralized mavila antidiatonic?