I'll might write in descriptions of these at some point comparing them to ancient Greek and modern Persian/Arabic/Turkish tetrachords. But for now, here are some otonal representations of tetrachords:
[9, 10, 11, 12] [1/1, 10/9, 11/9, 4/3] [P1, M2, AsGrm3, P4]
[12, 13, 14, 16] [1/1, 13/12, 7/6, 4/3] [P1, Prm2, Sbm3, P4]
[12, 13, 15, 16] [1/1, 13/12, 5/4, 4/3] [P1, Prm2, M3, P4]
[15, 16, 18, 20] [1/1, 16/15, 6/5, 4/3] [P1, m2, m3, P4]
[15, 17, 18, 20] [1/1, 17/15, 6/5, 4/3] [P1, ExM2, m3, P4]
[18, 19, 21, 24] [1/1, 19/18, 7/6, 4/3] [P1, Lfm2, Sbm3, P4]
[18, 19, 22, 24] [1/1, 19/18, 11/9, 4/3] [P1, Lfm2, AsGrm3, P4]
[18, 19, 23, 24] [1/1, 19/18, 23/18, 4/3] [P1, Lfm2, NbM3, P4]
[18, 20, 21, 24] [1/1, 10/9, 7/6, 4/3] [P1, M2, Sbm3, P4]
[18, 20, 22, 24] [1/1, 10/9, 11/9, 4/3] [P1, M2, AsGrm3, P4]
[18, 20, 23, 24] [1/1, 10/9, 23/18, 4/3] [P1, M2, NbM3, P4]
[21, 24, 26, 28] [1/1, 8/7, 26/21, 4/3] [P1, SpM2, PrSpGrm3, P4]
[21, 24, 27, 28] [1/1, 8/7, 9/7, 4/3] [P1, SpM2, SpM3, P4]
[21, 25, 26, 28] [1/1, 25/21, 26/21, 4/3] [P1, SpA2, PrSpGrm3, P4]
[21, 25, 27, 28] [1/1, 25/21, 9/7, 4/3] [P1, SpA2, SpM3, P4]
[24, 26, 28, 32] [1/1, 13/12, 7/6, 4/3] [P1, Prm2, Sbm3, P4]
[24, 26, 30, 32] [1/1, 13/12, 5/4, 4/3] [P1, Prm2, M3, P4]
[24, 27, 28, 32] [1/1, 9/8, 7/6, 4/3] [P1, AcM2, Sbm3, P4]
[24, 27, 30, 32] [1/1, 9/8, 5/4, 4/3] [P1, AcM2, M3, P4]
[27, 28, 32, 36] [1/1, 28/27, 32/27, 4/3] [P1, Sbm2, Grm3, P4]
[27, 30, 32, 36] [1/1, 10/9, 32/27, 4/3] [P1, M2, Grm3, P4]
[27, 30, 33, 36] [1/1, 10/9, 11/9, 4/3] [P1, M2, AsGrm3, P4]
[27, 30, 34, 36] [1/1, 10/9, 34/27, 4/3] [P1, M2, ExGrM3, P4]
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