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Die Skalen im Tonumfang einer Oktav –
Alle 518 spiegelsymmetrischen Skalen im Tonumfang einer Oktav, mit Umkehrungen
Die Skalen im Tonumfang einer Oktav
Siegfried Koepf, März 2009
| Alle 518 spiegelsymmetrischen Skalen im Tonumfang einer Oktav mit Umkehrungen | ||||
| [N] | Intervallfolge | Symmetrien | Ausgeschlossene Intervalle | Name |
|---|---|---|---|---|
| [1,0] | 12 | s2 | 1 2 3 4 5 6 7 8 9 10 11 | Ton |
| [2,0] | 1 11 | s2 | . 2 3 4 5 6 7 8 9 10 . | Kleine Sekund |
| [2,1] | 11 1 | s2 | . 2 3 4 5 6 7 8 9 10 . | Große Septim |
| [3,0] | 2 10 | s2 | 1 . 3 4 5 6 7 8 9 . 11 | Große Sekund |
| [3,1] | 10 2 | s2 | 1 . 3 4 5 6 7 8 9 . 11 | Kleine Septim |
| [4,0] | 3 9 | s2 | 1 2 . 4 5 6 7 8 . 10 11 | Kleine Terz |
| [4,1] | 9 3 | s2 | 1 2 . 4 5 6 7 8 . 10 11 | Große Sext |
| [5,0] | 4 8 | s2 | 1 2 3 . 5 6 7 . 9 10 11 | Große Terz |
| [5,1] | 8 4 | s2 | 1 2 3 . 5 6 7 . 9 10 11 | Kleine Sext |
| [6,0] | 5 7 | s2 | 1 2 3 4 . 6 . 8 9 10 11 | Reine Quart |
| [6,1] | 7 5 | s2 | 1 2 3 4 . 6 . 8 9 10 11 | Reine Quint |
| [7,0] | 6 6 | t2 s4 | 1 2 3 4 5 . 7 8 9 10 11 | Tritonus |
| [8,0] | 1 1 10 | s2 | . . 3 4 5 6 7 8 9 . . | |
| [8,1] | 1 10 1 | s2 | . . 3 4 5 6 7 8 9 . . | |
| [8,2] | 10 1 1 | s2 | . . 3 4 5 6 7 8 9 . . | |
| [9,0] | 2 2 8 | s2 | 1 . 3 . 5 6 7 . 9 . 11 | |
| [9,1] | 2 8 2 | s2 | 1 . 3 . 5 6 7 . 9 . 11 | |
| [9,2] | 8 2 2 | s2 | 1 . 3 . 5 6 7 . 9 . 11 | |
| [10,0] | 2 5 5 | s2 | 1 . 3 4 . 6 . 8 9 . 11 | |
| [10,1] | 5 5 2 | s2 | 1 . 3 4 . 6 . 8 9 . 11 | |
| [10,2] | 5 2 5 | s2 | 1 . 3 4 . 6 . 8 9 . 11 | |
| [11,0] | 3 3 6 | s2 | 1 2 . 4 5 . 7 8 . 10 11 | Verminderter Dreiklang |
| [11,1] | 3 6 3 | s2 | 1 2 . 4 5 . 7 8 . 10 11 | Verminderter Dreiklang 1. U. |
| [11,2] | 6 3 3 | s2 | 1 2 . 4 5 . 7 8 . 10 11 | Verminderter Dreiklang 2. U. |
| [12,0] | 4 4 4 | t3 s6 | 1 2 3 . 5 6 7 . 9 10 11 | Übermäßiger Dreiklang |
| [13,0] | 1 1 1 9 | s2 | . . . 4 5 6 7 8 . . . | |
| [13,1] | 1 1 9 1 | s2 | . . . 4 5 6 7 8 . . . | |
| [13,2] | 1 9 1 1 | s2 | . . . 4 5 6 7 8 . . . | |
| [13,3] | 9 1 1 1 | s2 | . . . 4 5 6 7 8 . . . | |
| [14,0] | 1 1 5 5 | s2 | . . 3 4 . . . 8 9 . . | |
| [14,1] | 1 5 5 1 | s2 | . . 3 4 . . . 8 9 . . | |
| [14,2] | 5 5 1 1 | s2 | . . 3 4 . . . 8 9 . . | |
| [14,3] | 5 1 1 5 | s2 | . . 3 4 . . . 8 9 . . | |
| [15,0] | 1 2 1 8 | s2 | . . . . 5 6 7 . . . . | |
| [15,1] | 2 1 8 1 | s2 | . . . . 5 6 7 . . . . | |
| [15,2] | 1 8 1 2 | s2 | . . . . 5 6 7 . . . . | |
| [15,3] | 8 1 2 1 | s2 | . . . . 5 6 7 . . . . | |
| [16,0] | 1 2 7 2 | s2 | . . . 4 . 6 . 8 . . . | |
| [16,1] | 2 7 2 1 | s2 | . . . 4 . 6 . 8 . . . | |
| [16,2] | 7 2 1 2 | s2 | . . . 4 . 6 . 8 . . . | |
| [16,3] | 2 1 2 7 | s2 | . . . 4 . 6 . 8 . . . | |
| [17,0] | 1 3 1 7 | s2 | . 2 . . . 6 . . . 10 . | |
| [17,1] | 3 1 7 1 | s2 | . 2 . . . 6 . . . 10 . | |
| [17,2] | 1 7 1 3 | s2 | . 2 . . . 6 . . . 10 . | |
| [17,3] | 7 1 3 1 | s2 | . 2 . . . 6 . . . 10 . | |
| [18,0] | 1 3 5 3 | s2 | . 2 . . . 6 . . . 10 . | |
| [18,1] | 3 5 3 1 | s2 | . 2 . . . 6 . . . 10 . | |
| [18,2] | 5 3 1 3 | s2 | . 2 . . . 6 . . . 10 . | |
| [18,3] | 3 1 3 5 | s2 | . 2 . . . 6 . . . 10 . | |
| [19,0] | 1 4 1 6 | s2 | . 2 3 . . . . . 9 10 . | |
| [19,1] | 4 1 6 1 | s2 | . 2 3 . . . . . 9 10 . | |
| [19,2] | 1 6 1 4 | s2 | . 2 3 . . . . . 9 10 . | |
| [19,3] | 6 1 4 1 | s2 | . 2 3 . . . . . 9 10 . | |
| [20,0] | 1 4 3 4 | s2 | . 2 . . . 6 . . . 10 . | Großer Dur-Septakkord 3. U. |
| [20,1] | 4 3 4 1 | s2 | . 2 . . . 6 . . . 10 . | Großer Dur-Septakkord |
| [20,2] | 3 4 1 4 | s2 | . 2 . . . 6 . . . 10 . | Großer Dur-Septakkord 1. U. |
| [20,3] | 4 1 4 3 | s2 | . 2 . . . 6 . . . 10 . | Großer Dur-Septakkord 2. U. |
| [21,0] | 1 5 1 5 | t2 s4 | . 2 3 4 . . . 8 9 10 . | |
| [21,1] | 5 1 5 1 | t2 s4 | . 2 3 4 . . . 8 9 10 . | |
| [22,0] | 2 2 2 6 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [22,1] | 2 2 6 2 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [22,2] | 2 6 2 2 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [22,3] | 6 2 2 2 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [23,0] | 2 2 4 4 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [23,1] | 2 4 4 2 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [23,2] | 4 4 2 2 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [23,3] | 4 2 2 4 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [24,0] | 2 3 2 5 | s2 | 1 . . 4 . 6 . 8 . . 11 | |
| [24,1] | 3 2 5 2 | s2 | 1 . . 4 . 6 . 8 . . 11 | |
| [24,2] | 2 5 2 3 | s2 | 1 . . 4 . 6 . 8 . . 11 | |
| [24,3] | 5 2 3 2 | s2 | 1 . . 4 . 6 . 8 . . 11 | |
| [25,0] | 2 3 4 3 | s2 | 1 . . . . 6 . . . . 11 | Kleiner Moll-Septakkord 3. U. |
| [25,1] | 3 4 3 2 | s2 | 1 . . . . 6 . . . . 11 | Kleiner Moll-Septakkord |
| [25,2] | 4 3 2 3 | s2 | 1 . . . . 6 . . . . 11 | Kleiner Moll-Septakkord 1. U. |
| [25,3] | 3 2 3 4 | s2 | 1 . . . . 6 . . . . 11 | Kleiner Moll-Septakkord 2. U. |
| [26,0] | 2 4 2 4 | t2 s4 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [26,1] | 4 2 4 2 | t2 s4 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [27,0] | 3 3 3 3 | t4 s8 | 1 2 . 4 5 . 7 8 . 10 11 | Verminderter Septakkord |
| [28,0] | 1 1 1 1 8 | s2 | . . . . 5 6 7 . . . . | |
| [28,1] | 1 1 1 8 1 | s2 | . . . . 5 6 7 . . . . | |
| [28,2] | 1 1 8 1 1 | s2 | . . . . 5 6 7 . . . . | |
| [28,3] | 1 8 1 1 1 | s2 | . . . . 5 6 7 . . . . | |
| [28,4] | 8 1 1 1 1 | s2 | . . . . 5 6 7 . . . . | |
| [29,0] | 1 1 2 6 2 | s2 | . . . . 5 . 7 . . . . | |
| [29,1] | 1 2 6 2 1 | s2 | . . . . 5 . 7 . . . . | |
| [29,2] | 2 6 2 1 1 | s2 | . . . . 5 . 7 . . . . | |
| [29,3] | 6 2 1 1 2 | s2 | . . . . 5 . 7 . . . . | |
| [29,4] | 2 1 1 2 6 | s2 | . . . . 5 . 7 . . . . | |
| [30,0] | 1 1 3 4 3 | s2 | . . . . . 6 . . . . . | |
| [30,1] | 1 3 4 3 1 | s2 | . . . . . 6 . . . . . | |
| [30,2] | 3 4 3 1 1 | s2 | . . . . . 6 . . . . . | |
| [30,3] | 4 3 1 1 3 | s2 | . . . . . 6 . . . . . | |
| [30,4] | 3 1 1 3 4 | s2 | . . . . . 6 . . . . . | |
| [31,0] | 1 1 4 2 4 | s2 | . . 3 . . . . . 9 . . | |
| [31,1] | 1 4 2 4 1 | s2 | . . 3 . . . . . 9 . . | |
| [31,2] | 4 2 4 1 1 | s2 | . . 3 . . . . . 9 . . | |
| [31,3] | 2 4 1 1 4 | s2 | . . 3 . . . . . 9 . . | |
| [31,4] | 4 1 1 4 2 | s2 | . . 3 . . . . . 9 . . | |
| [32,0] | 1 2 1 4 4 | s2 | . . . . . 6 . . . . . | |
| [32,1] | 2 1 4 4 1 | s2 | . . . . . 6 . . . . . | |
| [32,2] | 1 4 4 1 2 | s2 | . . . . . 6 . . . . . | |
| [32,3] | 4 4 1 2 1 | s2 | . . . . . 6 . . . . . | |
| [32,4] | 4 1 2 1 4 | s2 | . . . . . 6 . . . . . | |
| [33,0] | 1 2 2 1 6 | s2 | ||
| [33,1] | 2 2 1 6 1 | s2 | ||
| [33,2] | 2 1 6 1 2 | s2 | ||
| [33,3] | 1 6 1 2 2 | s2 | ||
| [33,4] | 6 1 2 2 1 | s2 | ||
| [34,0] | 1 3 3 1 4 | s2 | . 2 . . . . . . . 10 . | |
| [34,1] | 3 3 1 4 1 | s2 | . 2 . . . . . . . 10 . | |
| [34,2] | 3 1 4 1 3 | s2 | . 2 . . . . . . . 10 . | |
| [34,3] | 1 4 1 3 3 | s2 | . 2 . . . . . . . 10 . | |
| [34,4] | 4 1 3 3 1 | s2 | . 2 . . . . . . . 10 . | |
| [35,0] | 2 2 2 2 4 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [35,1] | 2 2 2 4 2 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [35,2] | 2 2 4 2 2 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [35,3] | 2 4 2 2 2 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [35,4] | 4 2 2 2 2 | s2 | 1 . 3 . 5 . 7 . 9 . 11 | |
| [36,0] | 2 2 2 3 3 | s2 | 1 . . . . . . . . . 11 | |
| [36,1] | 2 2 3 3 2 | s2 | 1 . . . . . . . . . 11 | |
| [36,2] | 2 3 3 2 2 | s2 | 1 . . . . . . . . . 11 | |
| [36,3] | 3 3 2 2 2 | s2 | 1 . . . . . . . . . 11 | |
| [36,4] | 3 2 2 2 3 | s2 | 1 . . . . . . . . . 11 | |
| [37,0] | 2 2 3 2 3 | s2 | 1 . . . . 6 . . . . 11 | Pentatonische Leiter |
| [37,1] | 2 3 2 3 2 | s2 | 1 . . . . 6 . . . . 11 | Pentatonische Leiter 1. U. |
| [37,2] | 3 2 3 2 2 | s2 | 1 . . . . 6 . . . . 11 | Pentatonische Leiter 2. U. |
| [37,3] | 2 3 2 2 3 | s2 | 1 . . . . 6 . . . . 11 | Pentatonische Leiter 3. U. |
| [37,4] | 3 2 2 3 2 | s2 | 1 . . . . 6 . . . . 11 | Pentatonische Leiter 4. U. |
| [38,0] | 1 1 1 1 1 7 | s2 | . . . . . 6 . . . . . | |
| [38,1] | 1 1 1 1 7 1 | s2 | . . . . . 6 . . . . . | |
| [38,2] | 1 1 1 7 1 1 | s2 | . . . . . 6 . . . . . | |
| [38,3] | 1 1 7 1 1 1 | s2 | . . . . . 6 . . . . . | |
| [38,4] | 1 7 1 1 1 1 | s2 | . . . . . 6 . . . . . | |
| [38,5] | 7 1 1 1 1 1 | s2 | . . . . . 6 . . . . . | |
| [39,0] | 1 1 1 1 4 4 | s2 | ||
| [39,1] | 1 1 1 4 4 1 | s2 | ||
| [39,2] | 1 1 4 4 1 1 | s2 | ||
| [39,3] | 1 4 4 1 1 1 | s2 | ||
| [39,4] | 4 4 1 1 1 1 | s2 | ||
| [39,5] | 4 1 1 1 1 4 | s2 | ||
| [40,0] | 1 1 1 2 5 2 | s2 | . . . . . 6 . . . . . | |
| [40,1] | 1 1 2 5 2 1 | s2 | . . . . . 6 . . . . . | |
| [40,2] | 1 2 5 2 1 1 | s2 | . . . . . 6 . . . . . | |
| [40,3] | 2 5 2 1 1 1 | s2 | . . . . . 6 . . . . . | |
| [40,4] | 5 2 1 1 1 2 | s2 | . . . . . 6 . . . . . | |
| [40,5] | 2 1 1 1 2 5 | s2 | . . . . . 6 . . . . . | |
| [41,0] | 1 1 1 3 3 3 | s2 | ||
| [41,1] | 1 1 3 3 3 1 | s2 | ||
| [41,2] | 1 3 3 3 1 1 | s2 | ||
| [41,3] | 3 3 3 1 1 1 | s2 | ||
| [41,4] | 3 3 1 1 1 3 | s2 | ||
| [41,5] | 3 1 1 1 3 3 | s2 | ||
| [42,0] | 1 1 1 4 1 4 | s2 | ||
| [42,1] | 1 1 4 1 4 1 | s2 | ||
| [42,2] | 1 4 1 4 1 1 | s2 | ||
| [42,3] | 4 1 4 1 1 1 | s2 | ||
| [42,4] | 1 4 1 1 1 4 | s2 | ||
| [42,5] | 4 1 1 1 4 1 | s2 | ||
| [43,0] | 1 1 2 1 1 6 | s2 | ||
| [43,1] | 1 2 1 1 6 1 | s2 | ||
| [43,2] | 2 1 1 6 1 1 | s2 | ||
| [43,3] | 1 1 6 1 1 2 | s2 | ||
| [43,4] | 1 6 1 1 2 1 | s2 | ||
| [43,5] | 6 1 1 2 1 1 | s2 | ||
| [44,0] | 1 1 2 3 3 2 | s2 | ||
| [44,1] | 1 2 3 3 2 1 | s2 | ||
| [44,2] | 2 3 3 2 1 1 | s2 | ||
| [44,3] | 3 3 2 1 1 2 | s2 | ||
| [44,4] | 3 2 1 1 2 3 | s2 | ||
| [44,5] | 2 1 1 2 3 3 | s2 | ||
| [45,0] | 1 1 3 1 1 5 | s2 | ||
| [45,1] | 1 3 1 1 5 1 | s2 | ||
| [45,2] | 3 1 1 5 1 1 | s2 | ||
| [45,3] | 1 1 5 1 1 3 | s2 | ||
| [45,4] | 1 5 1 1 3 1 | s2 | ||
| [45,5] | 5 1 1 3 1 1 | s2 | ||
| [46,0] | 1 1 3 2 2 3 | s2 | ||
| [46,1] | 1 3 2 2 3 1 | s2 | ||
| [46,2] | 3 2 2 3 1 1 | s2 | ||
| [46,3] | 2 2 3 1 1 3 | s2 | ||
| [46,4] | 2 3 1 1 3 2 | s2 | ||
| [46,5] | 3 1 1 3 2 2 | s2 | ||
| [47,0] | 1 1 4 1 1 4 | t2 s4 | . . 3 . . . . . 9 . . | Messiaens 5. Modus 2. U. |
| [47,1] | 1 4 1 1 4 1 | t2 s4 | . . 3 . . . . . 9 . . | Messiaens 5. Modus |
| [47,2] | 4 1 1 4 1 1 | t2 s4 | . . 3 . . . . . 9 . . | Messiaens 5. Modus 1. U. |
| [48,0] | 1 2 1 2 1 5 | s2 | ||
| [48,1] | 2 1 2 1 5 1 | s2 | ||
| [48,2] | 1 2 1 5 1 2 | s2 | ||
| [48,3] | 2 1 5 1 2 1 | s2 | ||
| [48,4] | 1 5 1 2 1 2 | s2 | ||
| [48,5] | 5 1 2 1 2 1 | s2 | ||
| [49,0] | 1 2 1 2 4 2 | s2 | ||
| [49,1] | 2 1 2 4 2 1 | s2 | ||
| [49,2] | 1 2 4 2 1 2 | s2 | ||
| [49,3] | 2 4 2 1 2 1 | s2 | ||
| [49,4] | 4 2 1 2 1 2 | s2 | ||
| [49,5] | 2 1 2 1 2 4 | s2 | ||
| [50,0] | 1 2 1 3 2 3 | s2 | ||
| [50,1] | 2 1 3 2 3 1 | s2 | ||
| [50,2] | 1 3 2 3 1 2 | s2 | ||
| [50,3] | 3 2 3 1 2 1 | s2 | ||
| [50,4] | 2 3 1 2 1 3 | s2 | ||
| [50,5] | 3 1 2 1 3 2 | s2 | ||
| [51,0] | 1 2 2 1 3 3 | s2 | ||
| [51,1] | 2 2 1 3 3 1 | s2 | ||
| [51,2] | 2 1 3 3 1 2 | s2 | ||
| [51,3] | 1 3 3 1 2 2 | s2 | ||
| [51,4] | 3 3 1 2 2 1 | s2 | ||
| [51,5] | 3 1 2 2 1 3 | s2 | ||
| [52,0] | 1 2 2 2 1 4 | s2 | ||
| [52,1] | 2 2 2 1 4 1 | s2 | ||
| [52,2] | 2 2 1 4 1 2 | s2 | ||
| [52,3] | 2 1 4 1 2 2 | s2 | ||
| [52,4] | 1 4 1 2 2 2 | s2 | ||
| [52,5] | 4 1 2 2 2 1 | s2 | ||
| [53,0] | 1 2 2 3 2 2 | s2 | . . . . . 6 . . . . . | |
| [53,1] | 2 2 3 2 2 1 | s2 | . . . . . 6 . . . . . | |
| [53,2] | 2 3 2 2 1 2 | s2 | . . . . . 6 . . . . . | |
| [53,3] | 3 2 2 1 2 2 | s2 | . . . . . 6 . . . . . | |
| [53,4] | 2 2 1 2 2 3 | s2 | . . . . . 6 . . . . . | |
| [53,5] | 2 1 2 2 3 2 | s2 | . . . . . 6 . . . . . | |
| [54,0] | 1 2 3 1 3 2 | s2 | ||
| [54,1] | 2 3 1 3 2 1 | s2 | ||
| [54,2] | 3 1 3 2 1 2 | s2 | ||
| [54,3] | 1 3 2 1 2 3 | s2 | ||
| [54,4] | 3 2 1 2 3 1 | s2 | ||
| [54,5] | 2 1 2 3 1 3 | s2 | ||
| [55,0] | 1 2 3 2 1 3 | s2 | ||
| [55,1] | 2 3 2 1 3 1 | s2 | ||
| [55,2] | 3 2 1 3 1 2 | s2 | ||
| [55,3] | 2 1 3 1 2 3 | s2 | ||
| [55,4] | 1 3 1 2 3 2 | s2 | ||
| [55,5] | 3 1 2 3 2 1 | s2 | ||
| [56,0] | 1 3 1 3 1 3 | t3 s6 | . 2 . . . 6 . . . 10 . | Übermäßige Leiter 1. U. |
| [56,1] | 3 1 3 1 3 1 | t3 s6 | . 2 . . . 6 . . . 10 . | Übermäßige Leiter |
| [57,0] | 2 2 2 2 2 2 | t6 s12 | 1 . 3 . 5 . 7 . 9 . 11 | Ganzton-Leiter, Messiaens 1. Modus |
| [58,0] | 1 1 1 1 1 1 6 | s2 | ||
| [58,1] | 1 1 1 1 1 6 1 | s2 | ||
| [58,2] | 1 1 1 1 6 1 1 | s2 | ||
| [58,3] | 1 1 1 6 1 1 1 | s2 | ||
| [58,4] | 1 1 6 1 1 1 1 | s2 | ||
| [58,5] | 1 6 1 1 1 1 1 | s2 | ||
| [58,6] | 6 1 1 1 1 1 1 | s2 | ||
| [59,0] | 1 1 1 1 2 4 2 | s2 | ||
| [59,1] | 1 1 1 2 4 2 1 | s2 | ||
| [59,2] | 1 1 2 4 2 1 1 | s2 | ||
| [59,3] | 1 2 4 2 1 1 1 | s2 | ||
| [59,4] | 2 4 2 1 1 1 1 | s2 | ||
| [59,5] | 4 2 1 1 1 1 2 | s2 | ||
| [59,6] | 2 1 1 1 1 2 4 | s2 | ||
| [60,0] | 1 1 1 1 3 2 3 | s2 | ||
| [60,1] | 1 1 1 3 2 3 1 | s2 | ||
| [60,2] | 1 1 3 2 3 1 1 | s2 | ||
| [60,3] | 1 3 2 3 1 1 1 | s2 | ||
| [60,4] | 3 2 3 1 1 1 1 | s2 | ||
| [60,5] | 2 3 1 1 1 1 3 | s2 | ||
| [60,6] | 3 1 1 1 1 3 2 | s2 | ||
| [61,0] | 1 1 2 1 1 3 3 | s2 | ||
| [61,1] | 1 2 1 1 3 3 1 | s2 | ||
| [61,2] | 2 1 1 3 3 1 1 | s2 | ||
| [61,3] | 1 1 3 3 1 1 2 | s2 | ||
| [61,4] | 1 3 3 1 1 2 1 | s2 | ||
| [61,5] | 3 3 1 1 2 1 1 | s2 | ||
| [61,6] | 3 1 1 2 1 1 3 | s2 | ||
| [62,0] | 1 1 2 1 4 1 2 | s2 | ||
| [62,1] | 1 2 1 4 1 2 1 | s2 | ||
| [62,2] | 2 1 4 1 2 1 1 | s2 | ||
| [62,3] | 1 4 1 2 1 1 2 | s2 | ||
| [62,4] | 4 1 2 1 1 2 1 | s2 | ||
| [62,5] | 1 2 1 1 2 1 4 | s2 | ||
| [62,6] | 2 1 1 2 1 4 1 | s2 | ||
| [63,0] | 1 1 2 2 1 1 4 | s2 | ||
| [63,1] | 1 2 2 1 1 4 1 | s2 | ||
| [63,2] | 2 2 1 1 4 1 1 | s2 | ||
| [63,3] | 2 1 1 4 1 1 2 | s2 | ||
| [63,4] | 1 1 4 1 1 2 2 | s2 | ||
| [63,5] | 1 4 1 1 2 2 1 | s2 | ||
| [63,6] | 4 1 1 2 2 1 1 | s2 | ||
| [64,0] | 1 1 2 2 2 2 2 | s2 | ||
| [64,1] | 1 2 2 2 2 2 1 | s2 | ||
| [64,2] | 2 2 2 2 2 1 1 | s2 | ||
| [64,3] | 2 2 2 2 1 1 2 | s2 | ||
| [64,4] | 2 2 2 1 1 2 2 | s2 | ||
| [64,5] | 2 2 1 1 2 2 2 | s2 | ||
| [64,6] | 2 1 1 2 2 2 2 | s2 | ||
| [65,0] | 1 1 3 1 2 1 3 | s2 | ||
| [65,1] | 1 3 1 2 1 3 1 | s2 | ||
| [65,2] | 3 1 2 1 3 1 1 | s2 | ||
| [65,3] | 1 2 1 3 1 1 3 | s2 | ||
| [65,4] | 2 1 3 1 1 3 1 | s2 | ||
| [65,5] | 1 3 1 1 3 1 2 | s2 | ||
| [65,6] | 3 1 1 3 1 2 1 | s2 | ||
| [66,0] | 1 2 1 2 2 2 2 | s2 | Melodisch-Moll-Leiter 6. U. | |
| [66,1] | 2 1 2 2 2 2 1 | s2 | Melodisch-Moll-Leiter | |
| [66,2] | 1 2 2 2 2 1 2 | s2 | Melodisch-Moll-Leiter 1. U. | |
| [66,3] | 2 2 2 2 1 2 1 | s2 | Melodisch-Moll-Leiter 2. U. | |
| [66,4] | 2 2 2 1 2 1 2 | s2 | Melodisch-Moll-Leiter 3. U. | |
| [66,5] | 2 2 1 2 1 2 2 | s2 | Melodisch-Moll-Leiter 4. U. | |
| [66,6] | 2 1 2 1 2 2 2 | s2 | Melodisch-Moll-Leiter 5. U. | |
| [67,0] | 1 2 2 1 2 2 2 | s2 | Dur-Tonleiter 6. U., Lokrisch | |
| [67,1] | 2 2 1 2 2 2 1 | s2 | Dur-Tonleiter, Ionisch | |
| [67,2] | 2 1 2 2 2 1 2 | s2 | Dur-Tonleiter 1. U., Dorisch | |
| [67,3] | 1 2 2 2 1 2 2 | s2 | Dur-Tonleiter 2. U., Phrygisch | |
| [67,4] | 2 2 2 1 2 2 1 | s2 | Dur-Tonleiter 3. U., Lydisch | |
| [67,5] | 2 2 1 2 2 1 2 | s2 | Dur-Tonleiter 4. U., Mixolydisch | |
| [67,6] | 2 1 2 2 1 2 2 | s2 | Dur-Tonleiter 5. U., Äolisch | |
| [68,0] | 1 1 1 1 1 1 1 5 | s2 | ||
| [68,1] | 1 1 1 1 1 1 5 1 | s2 | ||
| [68,2] | 1 1 1 1 1 5 1 1 | s2 | ||
| [68,3] | 1 1 1 1 5 1 1 1 | s2 | ||
| [68,4] | 1 1 1 5 1 1 1 1 | s2 | ||
| [68,5] | 1 1 5 1 1 1 1 1 | s2 | ||
| [68,6] | 1 5 1 1 1 1 1 1 | s2 | ||
| [68,7] | 5 1 1 1 1 1 1 1 | s2 | ||
| [69,0] | 1 1 1 1 1 1 3 3 | s2 | ||
| [69,1] | 1 1 1 1 1 3 3 1 | s2 | ||
| [69,2] | 1 1 1 1 3 3 1 1 | s2 | ||
| [69,3] | 1 1 1 3 3 1 1 1 | s2 | ||
| [69,4] | 1 1 3 3 1 1 1 1 | s2 | ||
| [69,5] | 1 3 3 1 1 1 1 1 | s2 | ||
| [69,6] | 3 3 1 1 1 1 1 1 | s2 | ||
| [69,7] | 3 1 1 1 1 1 1 3 | s2 | ||
| [70,0] | 1 1 1 1 1 2 3 2 | s2 | ||
| [70,1] | 1 1 1 1 2 3 2 1 | s2 | ||
| [70,2] | 1 1 1 2 3 2 1 1 | s2 | ||
| [70,3] | 1 1 2 3 2 1 1 1 | s2 | ||
| [70,4] | 1 2 3 2 1 1 1 1 | s2 | ||
| [70,5] | 2 3 2 1 1 1 1 1 | s2 | ||
| [70,6] | 3 2 1 1 1 1 1 2 | s2 | ||
| [70,7] | 2 1 1 1 1 1 2 3 | s2 | ||
| [71,0] | 1 1 1 1 1 3 1 3 | s2 | ||
| [71,1] | 1 1 1 1 3 1 3 1 | s2 | ||
| [71,2] | 1 1 1 3 1 3 1 1 | s2 | ||
| [71,3] | 1 1 3 1 3 1 1 1 | s2 | ||
| [71,4] | 1 3 1 3 1 1 1 1 | s2 | ||
| [71,5] | 3 1 3 1 1 1 1 1 | s2 | ||
| [71,6] | 1 3 1 1 1 1 1 3 | s2 | ||
| [71,7] | 3 1 1 1 1 1 3 1 | s2 | ||
| [72,0] | 1 1 1 1 2 2 2 2 | s2 | ||
| [72,1] | 1 1 1 2 2 2 2 1 | s2 | ||
| [72,2] | 1 1 2 2 2 2 1 1 | s2 | ||
| [72,3] | 1 2 2 2 2 1 1 1 | s2 | ||
| [72,4] | 2 2 2 2 1 1 1 1 | s2 | ||
| [72,5] | 2 2 2 1 1 1 1 2 | s2 | ||
| [72,6] | 2 2 1 1 1 1 2 2 | s2 | ||
| [72,7] | 2 1 1 1 1 2 2 2 | s2 | ||
| [73,0] | 1 1 1 1 3 1 1 3 | s2 | ||
| [73,1] | 1 1 1 3 1 1 3 1 | s2 | ||
| [73,2] | 1 1 3 1 1 3 1 1 | s2 | ||
| [73,3] | 1 3 1 1 3 1 1 1 | s2 | ||
| [73,4] | 3 1 1 3 1 1 1 1 | s2 | ||
| [73,5] | 1 1 3 1 1 1 1 3 | s2 | ||
| [73,6] | 1 3 1 1 1 1 3 1 | s2 | ||
| [73,7] | 3 1 1 1 1 3 1 1 | s2 | ||
| [74,0] | 1 1 1 2 1 1 1 4 | s2 | ||
| [74,1] | 1 1 2 1 1 1 4 1 | s2 | ||
| [74,2] | 1 2 1 1 1 4 1 1 | s2 | ||
| [74,3] | 2 1 1 1 4 1 1 1 | s2 | ||
| [74,4] | 1 1 1 4 1 1 1 2 | s2 | ||
| [74,5] | 1 1 4 1 1 1 2 1 | s2 | ||
| [74,6] | 1 4 1 1 1 2 1 1 | s2 | ||
| [74,7] | 4 1 1 1 2 1 1 1 | s2 | ||
| [75,0] | 1 1 1 2 1 3 1 2 | s2 | ||
| [75,1] | 1 1 2 1 3 1 2 1 | s2 | ||
| [75,2] | 1 2 1 3 1 2 1 1 | s2 | ||
| [75,3] | 2 1 3 1 2 1 1 1 | s2 | ||
| [75,4] | 1 3 1 2 1 1 1 2 | s2 | ||
| [75,5] | 3 1 2 1 1 1 2 1 | s2 | ||
| [75,6] | 1 2 1 1 1 2 1 3 | s2 | ||
| [75,7] | 2 1 1 1 2 1 3 1 | s2 | ||
| [76,0] | 1 1 1 2 2 1 2 2 | s2 | ||
| [76,1] | 1 1 2 2 1 2 2 1 | s2 | ||
| [76,2] | 1 2 2 1 2 2 1 1 | s2 | ||
| [76,3] | 2 2 1 2 2 1 1 1 | s2 | ||
| [76,4] | 2 1 2 2 1 1 1 2 | s2 | ||
| [76,5] | 1 2 2 1 1 1 2 2 | s2 | ||
| [76,6] | 2 2 1 1 1 2 2 1 | s2 | ||
| [76,7] | 2 1 1 1 2 2 1 2 | s2 | ||
| [77,0] | 1 1 1 3 1 1 1 3 | t2 s4 | Messiaens 4. Modus 3. U. | |
| [77,1] | 1 1 3 1 1 1 3 1 | t2 s4 | Messiaens 4. Modus | |
| [77,2] | 1 3 1 1 1 3 1 1 | t2 s4 | Messiaens 4. Modus 1. U. | |
| [77,3] | 3 1 1 1 3 1 1 1 | t2 s4 | Messiaens 4. Modus 2. U. | |
| [78,0] | 1 1 2 1 1 2 2 2 | s2 | ||
| [78,1] | 1 2 1 1 2 2 2 1 | s2 | ||
| [78,2] | 2 1 1 2 2 2 1 1 | s2 | ||
| [78,3] | 1 1 2 2 2 1 1 2 | s2 | ||
| [78,4] | 1 2 2 2 1 1 2 1 | s2 | ||
| [78,5] | 2 2 2 1 1 2 1 1 | s2 | ||
| [78,6] | 2 2 1 1 2 1 1 2 | s2 | ||
| [78,7] | 2 1 1 2 1 1 2 2 | s2 | ||
| [79,0] | 1 1 2 1 2 1 1 3 | s2 | ||
| [79,1] | 1 2 1 2 1 1 3 1 | s2 | ||
| [79,2] | 2 1 2 1 1 3 1 1 | s2 | ||
| [79,3] | 1 2 1 1 3 1 1 2 | s2 | ||
| [79,4] | 2 1 1 3 1 1 2 1 | s2 | ||
| [79,5] | 1 1 3 1 1 2 1 2 | s2 | ||
| [79,6] | 1 3 1 1 2 1 2 1 | s2 | ||
| [79,7] | 3 1 1 2 1 2 1 1 | s2 | ||
| [80,0] | 1 1 2 1 2 2 1 2 | s2 | ||
| [80,1] | 1 2 1 2 2 1 2 1 | s2 | ||
| [80,2] | 2 1 2 2 1 2 1 1 | s2 | ||
| [80,3] | 1 2 2 1 2 1 1 2 | s2 | ||
| [80,4] | 2 2 1 2 1 1 2 1 | s2 | ||
| [80,5] | 2 1 2 1 1 2 1 2 | s2 | ||
| [80,6] | 1 2 1 1 2 1 2 2 | s2 | ||
| [80,7] | 2 1 1 2 1 2 2 1 | s2 | ||
| [81,0] | 1 1 2 2 1 1 2 2 | t2 s4 | Messiaens 6. Modus 2. U. | |
| [81,1] | 1 2 2 1 1 2 2 1 | t2 s4 | Messiaens 6. Modus 3. U. | |
| [81,2] | 2 2 1 1 2 2 1 1 | t2 s4 | Messiaens 6. Modus | |
| [81,3] | 2 1 1 2 2 1 1 2 | t2 s4 | Messiaens 6. Modus 1. U. | |
| [82,0] | 1 2 1 2 1 2 1 2 | t4 s8 | Halbton-Ganzton-Leiter, Messiaens 2. Modus | |
| [82,1] | 2 1 2 1 2 1 2 1 | t4 s8 | Ganzton-Halbton-Leiter, Messiaens 2. Modus 1. U. | |
| [83,0] | 1 1 1 1 1 1 1 1 4 | s2 | ||
| [83,1] | 1 1 1 1 1 1 1 4 1 | s2 | ||
| [83,2] | 1 1 1 1 1 1 4 1 1 | s2 | ||
| [83,3] | 1 1 1 1 1 4 1 1 1 | s2 | ||
| [83,4] | 1 1 1 1 4 1 1 1 1 | s2 | ||
| [83,5] | 1 1 1 4 1 1 1 1 1 | s2 | ||
| [83,6] | 1 1 4 1 1 1 1 1 1 | s2 | ||
| [83,7] | 1 4 1 1 1 1 1 1 1 | s2 | ||
| [83,8] | 4 1 1 1 1 1 1 1 1 | s2 | ||
| [84,0] | 1 1 1 1 1 1 2 2 2 | s2 | ||
| [84,1] | 1 1 1 1 1 2 2 2 1 | s2 | ||
| [84,2] | 1 1 1 1 2 2 2 1 1 | s2 | ||
| [84,3] | 1 1 1 2 2 2 1 1 1 | s2 | ||
| [84,4] | 1 1 2 2 2 1 1 1 1 | s2 | ||
| [84,5] | 1 2 2 2 1 1 1 1 1 | s2 | ||
| [84,6] | 2 2 2 1 1 1 1 1 1 | s2 | ||
| [84,7] | 2 2 1 1 1 1 1 1 2 | s2 | ||
| [84,8] | 2 1 1 1 1 1 1 2 2 | s2 | ||
| [85,0] | 1 1 1 1 2 1 2 1 2 | s2 | ||
| [85,1] | 1 1 1 2 1 2 1 2 1 | s2 | ||
| [85,2] | 1 1 2 1 2 1 2 1 1 | s2 | ||
| [85,3] | 1 2 1 2 1 2 1 1 1 | s2 | ||
| [85,4] | 2 1 2 1 2 1 1 1 1 | s2 | ||
| [85,5] | 1 2 1 2 1 1 1 1 2 | s2 | ||
| [85,6] | 2 1 2 1 1 1 1 2 1 | s2 | ||
| [85,7] | 1 2 1 1 1 1 2 1 2 | s2 | ||
| [85,8] | 2 1 1 1 1 2 1 2 1 | s2 | ||
| [86,0] | 1 1 1 2 1 1 1 2 2 | s2 | ||
| [86,1] | 1 1 2 1 1 1 2 2 1 | s2 | ||
| [86,2] | 1 2 1 1 1 2 2 1 1 | s2 | ||
| [86,3] | 2 1 1 1 2 2 1 1 1 | s2 | ||
| [86,4] | 1 1 1 2 2 1 1 1 2 | s2 | ||
| [86,5] | 1 1 2 2 1 1 1 2 1 | s2 | ||
| [86,6] | 1 2 2 1 1 1 2 1 1 | s2 | ||
| [86,7] | 2 2 1 1 1 2 1 1 1 | s2 | ||
| [86,8] | 2 1 1 1 2 1 1 1 2 | s2 | ||
| [87,0] | 1 1 2 1 1 2 1 1 2 | t3 s6 | Messiaens 3. Modus 1. U. | |
| [87,1] | 1 2 1 1 2 1 1 2 1 | t3 s6 | Messiaens 3. Modus 2. U. | |
| [87,2] | 2 1 1 2 1 1 2 1 1 | t3 s6 | Messiaens 3. Modus | |
| [88,0] | 1 1 1 1 1 1 1 1 1 3 | s2 | ||
| [88,1] | 1 1 1 1 1 1 1 1 3 1 | s2 | ||
| [88,2] | 1 1 1 1 1 1 1 3 1 1 | s2 | ||
| [88,3] | 1 1 1 1 1 1 3 1 1 1 | s2 | ||
| [88,4] | 1 1 1 1 1 3 1 1 1 1 | s2 | ||
| [88,5] | 1 1 1 1 3 1 1 1 1 1 | s2 | ||
| [88,6] | 1 1 1 3 1 1 1 1 1 1 | s2 | ||
| [88,7] | 1 1 3 1 1 1 1 1 1 1 | s2 | ||
| [88,8] | 1 3 1 1 1 1 1 1 1 1 | s2 | ||
| [88,9] | 3 1 1 1 1 1 1 1 1 1 | s2 | ||
| [89,0] | 1 1 1 1 1 1 1 1 2 2 | s2 | ||
| [89,1] | 1 1 1 1 1 1 1 2 2 1 | s2 | ||
| [89,2] | 1 1 1 1 1 1 2 2 1 1 | s2 | ||
| [89,3] | 1 1 1 1 1 2 2 1 1 1 | s2 | ||
| [89,4] | 1 1 1 1 2 2 1 1 1 1 | s2 | ||
| [89,5] | 1 1 1 2 2 1 1 1 1 1 | s2 | ||
| [89,6] | 1 1 2 2 1 1 1 1 1 1 | s2 | ||
| [89,7] | 1 2 2 1 1 1 1 1 1 1 | s2 | ||
| [89,8] | 2 2 1 1 1 1 1 1 1 1 | s2 | ||
| [89,9] | 2 1 1 1 1 1 1 1 1 2 | s2 | ||
| [90,0] | 1 1 1 1 1 1 1 2 1 2 | s2 | ||
| [90,1] | 1 1 1 1 1 1 2 1 2 1 | s2 | ||
| [90,2] | 1 1 1 1 1 2 1 2 1 1 | s2 | ||
| [90,3] | 1 1 1 1 2 1 2 1 1 1 | s2 | ||
| [90,4] | 1 1 1 2 1 2 1 1 1 1 | s2 | ||
| [90,5] | 1 1 2 1 2 1 1 1 1 1 | s2 | ||
| [90,6] | 1 2 1 2 1 1 1 1 1 1 | s2 | ||
| [90,7] | 2 1 2 1 1 1 1 1 1 1 | s2 | ||
| [90,8] | 1 2 1 1 1 1 1 1 1 2 | s2 | ||
| [90,9] | 2 1 1 1 1 1 1 1 2 1 | s2 | ||
| [91,0] | 1 1 1 1 1 1 2 1 1 2 | s2 | ||
| [91,1] | 1 1 1 1 1 2 1 1 2 1 | s2 | ||
| [91,2] | 1 1 1 1 2 1 1 2 1 1 | s2 | ||
| [91,3] | 1 1 1 2 1 1 2 1 1 1 | s2 | ||
| [91,4] | 1 1 2 1 1 2 1 1 1 1 | s2 | ||
| [91,5] | 1 2 1 1 2 1 1 1 1 1 | s2 | ||
| [91,6] | 2 1 1 2 1 1 1 1 1 1 | s2 | ||
| [91,7] | 1 1 2 1 1 1 1 1 1 2 | s2 | ||
| [91,8] | 1 2 1 1 1 1 1 1 2 1 | s2 | ||
| [91,9] | 2 1 1 1 1 1 1 2 1 1 | s2 | ||
| [92,0] | 1 1 1 1 1 2 1 1 1 2 | s2 | ||
| [92,1] | 1 1 1 1 2 1 1 1 2 1 | s2 | ||
| [92,2] | 1 1 1 2 1 1 1 2 1 1 | s2 | ||
| [92,3] | 1 1 2 1 1 1 2 1 1 1 | s2 | ||
| [92,4] | 1 2 1 1 1 2 1 1 1 1 | s2 | ||
| [92,5] | 2 1 1 1 2 1 1 1 1 1 | s2 | ||
| [92,6] | 1 1 1 2 1 1 1 1 1 2 | s2 | ||
| [92,7] | 1 1 2 1 1 1 1 1 2 1 | s2 | ||
| [92,8] | 1 2 1 1 1 1 1 2 1 1 | s2 | ||
| [92,9] | 2 1 1 1 1 1 2 1 1 1 | s2 | ||
| [93,0] | 1 1 1 1 2 1 1 1 1 2 | t2 s4 | Messiaens 7. Modus 4. U. | |
| [93,1] | 1 1 1 2 1 1 1 1 2 1 | t2 s4 | Messiaens 7. Modus | |
| [93,2] | 1 1 2 1 1 1 1 2 1 1 | t2 s4 | Messiaens 7. Modus 1. U. | |
| [93,3] | 1 2 1 1 1 1 2 1 1 1 | t2 s4 | Messiaens 7. Modus 2. U. | |
| [93,4] | 2 1 1 1 1 2 1 1 1 1 | t2 s4 | Messiaens 7. Modus 3. U. | |
| [94,0] | 1 1 1 1 1 1 1 1 1 1 2 | s2 | ||
| [94,1] | 1 1 1 1 1 1 1 1 1 2 1 | s2 | ||
| [94,2] | 1 1 1 1 1 1 1 1 2 1 1 | s2 | ||
| [94,3] | 1 1 1 1 1 1 1 2 1 1 1 | s2 | ||
| [94,4] | 1 1 1 1 1 1 2 1 1 1 1 | s2 | ||
| [94,5] | 1 1 1 1 1 2 1 1 1 1 1 | s2 | ||
| [94,6] | 1 1 1 1 2 1 1 1 1 1 1 | s2 | ||
| [94,7] | 1 1 1 2 1 1 1 1 1 1 1 | s2 | ||
| [94,8] | 1 1 2 1 1 1 1 1 1 1 1 | s2 | ||
| [94,9] | 1 2 1 1 1 1 1 1 1 1 1 | s2 | ||
| [94,10] | 2 1 1 1 1 1 1 1 1 1 1 | s2 | ||
| [95,0] | 1 1 1 1 1 1 1 1 1 1 1 1 | t12 s24 | Chromatische Tonleiter | |