24edo tetrachords
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A chart of all possible 24edo tetrachords (36 altogether):
1-1-8 | 1-2-7 | 1-3-6 | 1-4-5 | 1-5-4 | 1-6-3 | 1-7-2 | 1-8-1 |
2-1-7 | 2-2-6 | 2-3-5 | 2-4-4 | 2-5-3 | 2-6-2 | 2-7-1 | |
3-1-6 | 3-2-5 | 3-3-4 | 3-4-3 | 3-5-2 | 3-6-1 | ||
4-1-5 | 4-2-4 | 4-3-3 | 4-4-2 | 4-5-1 | |||
5-1-4 | 5-2-3 | 5-3-2 | 5-4-1 | ||||
6-1-3 | 6-2-2 | 6-3-1 | |||||
7-1-2 | 7-2-1 | ||||||
8-1-1 |
Tetrachord details:
tetrachord notation | steps in cents | interval names | notes |
---|---|---|---|
1-1-8 | 50 + 50 + 400 | P1 sm2 m2 P4 | form of Greek enharmonic genus |
1-2-7 | 50 + 100 + 350 | P1 sm2 N2 P4 | |
1-3-6 | 50 + 150 + 300 | P1 sm2 M2 P4 | |
1-4-5 | 50 + 200 + 250 | P1 sm2 sm3 P4 | |
1-5-4 | 50 + 250 + 200 | P1 sm2 m3 P4 | |
1-6-3 | 50 + 300 + 150 | P1 sm2 N3 P4 | |
1-7-2 | 50 + 350 + 100 | P1 sm2 M3 P4 | |
1-8-1 | 50 + 400 + 50 | P1 sm2 SM3 P4 | form of Greek enharmonic genus |
2-1-7 | 100 + 50 + 350 | P1 m2 N2 P4 | |
2-2-6 | 100 + 100 + 300 | P1 m2 M2 P4 | Form of Greek chromatic genus |
2-3-5 | 100 + 150 + 250 | P1 m2 sm3 P4 | |
2-4-4 | 100 + 200 + 200 | P1 m2 m3 P4 | Phrygian; jins Kurd |
2-5-3 | 100 + 250 + 150 | P1 m2 N3 P4 | |
2-6-2 | 100 + 300 + 100 | P1 m2 M3 P4 | "Piano Hijaz"; form of Greek chromatic genus |
2-7-1 | 100 + 350 + 50 | P1 m2 SM3 P4 | |
3-1-6 | 150 + 50 + 300 | P1 N2 M2 P4 | |
3-2-5 | 150 + 100 + 250 | P1 N2 sm3 P4 | |
3-3-4 | 150 + 150 + 200 | P1 N2 m3 P4 | jins Bayati |
3-4-3 | 150 + 200 + 150 | P1 N2 N3 P4 | all-neutral tetrachord, resembles Maqam 'Iraq or Sikah Baladi |
3-5-2 | 150 + 250 + 100 | P1 N2 M3 P4 | |
3-6-1 | 150 + 300 + 50 | P1 N2 SM3 P4 | |
4-1-5 | 200 + 50 + 250 | P1 M2 sm3 P4 | like jins Nahawand but subminor 3rd instead of minor |
4-2-4 | 200 + 100 + 200 | P1 M2 m3 P4 | minor; jins Nahawand |
4-3-3 | 200 + 150 + 150 | P1 M2 N3 P4 | jins Rast |
4-4-2 | 200 + 200 + 100 | P1 M2 M3 P4 | major; jins 'Ajam |
4-5-1 | 200 + 250 + 50 | P1 M2 SM3 P4 | |
5-1-4 | 250 + 50 + 200 | P1 SM2 m3 P4 | |
5-2-3 | 250 + 100 + 150 | P1 SM2 N3 P4 | |
5-3-2 | 250 + 150 + 100 | P1 SM2 M3 P4 | |
5-4-1 | 250 + 200 + 50 | P1 SM2 SM3 P4 | |
6-1-3 | 300 + 50 + 150 | P1 m3 N3 P4 | |
6-2-2 | 300 + 100 + 100 | P1 m3 M3 P4 | form of Greek chromatic genus |
6-3-1 | 300 + 150 + 50 | P1 m3 SM3 P4 | |
7-1-2 | 350 + 50 + 100 | P1 N3 M3 P4 | |
7-2-1 | 350 + 100 + 50 | P1 N3 SM3 P4 | |
8-1-1 | 400 + 50 + 50 | P1 M3 SM3 P4 | form of Greek enharmonic genus |