11edo: Difference between revisions
| Line 104: | Line 104: | ||
| A | | A | ||
| P1 | | P1 | ||
P0 | |||
| A | | A | ||
| P1 | | P1 | ||
P0 | |||
| A | | A | ||
| Q\P# | | Q\P# | ||
| Line 116: | Line 118: | ||
| AII\ or B!!/ | | AII\ or B!!/ | ||
| ^1, m2 | | ^1, m2 | ||
^0, m1 | |||
| ^A, B | | ^A, B | ||
| ^1, M2 | | ^1, M2 | ||
^0, M1 | |||
| ^A, B | | ^A, B | ||
| Q#\Rb | | Q#\Rb | ||
| Minor second | | Minor second | ||
Minor prime | |||
|- | |- | ||
| 2 | | 2 | ||
| Line 128: | Line 133: | ||
| B | | B | ||
| ~2, m3 | | ~2, m3 | ||
~1, m2 | |||
| ^B, Cb | | ^B, Cb | ||
| ~2, M3 | | ~2, M3 | ||
~1, M2 | |||
| ^B, C# | | ^B, C# | ||
| R | | R | ||
| Major second | | Major second | ||
Major prime | |||
|- | |- | ||
| 3 | | 3 | ||
| Line 140: | Line 148: | ||
| C/I or BII\ or D\!!/ | | C/I or BII\ or D\!!/ | ||
| M2, ~3 | | M2, ~3 | ||
M1, ~2 | |||
| B#, vC | | B#, vC | ||
| m2, ~3 | | m2, ~3 | ||
m1, ~2 | |||
| Bb, vC | | Bb, vC | ||
| R#\Sb | | R#\Sb | ||
| Minor third | | Minor third | ||
Minor second | |||
|- | |- | ||
| 4 | | 4 | ||
| Line 152: | Line 163: | ||
| D\! or C/II\ | | D\! or C/II\ | ||
| M3, v4 | | M3, v4 | ||
M2, v3 | |||
| C, vD | | C, vD | ||
| m3, v4 | | m3, v4 | ||
m2, v3 | |||
| C, vD | | C, vD | ||
| S | | S | ||
| Major third/Minor fourth | | Major third/Minor fourth | ||
Major second/Minor third | |||
|- | |- | ||
| 5 | | 5 | ||
| Line 164: | Line 178: | ||
| D/I or E\!!/ | | D/I or E\!!/ | ||
| P4, v5 | | P4, v5 | ||
P3, v4 | |||
| D, vE | | D, vE | ||
| P4, v5 | | P4, v5 | ||
P3, v4 | |||
| D, vE | | D, vE | ||
| S#\Tb | | S#\Tb | ||
| Major fourth | | Major fourth | ||
Major third | |||
|- | |- | ||
| 6 | | 6 | ||
| Line 176: | Line 193: | ||
| E\! or D/II\ | | E\! or D/II\ | ||
| ^4, P5 | | ^4, P5 | ||
^3, P4 | |||
| ^D, E | | ^D, E | ||
| ^4, P5 | | ^4, P5 | ||
^3, P4 | |||
| ^D, E | | ^D, E | ||
| T | | T | ||
| Minor fifth | | Minor fifth | ||
Minor fourth | |||
|- | |- | ||
| 7 | | 7 | ||
| Line 188: | Line 208: | ||
| F | | F | ||
| ^5, m6 | | ^5, m6 | ||
^4, m5 | |||
| ^E, Fb | | ^E, Fb | ||
| ^5, M6 | | ^5, M6 | ||
^4, M5 | |||
| ^E, F# | | ^E, F# | ||
| T#\Ub | | T#\Ub | ||
| Major fifth/Minor sixth | | Major fifth/Minor sixth | ||
Major fourth/Minor fifth | |||
|- | |- | ||
| 8 | | 8 | ||
| Line 200: | Line 223: | ||
| FII\ or G!!/ | | FII\ or G!!/ | ||
| ~6, m7 | | ~6, m7 | ||
~5, m6 | |||
| vF, Gb | | vF, Gb | ||
| ~6, M7 | | ~6, M7 | ||
~5, M6 | |||
| vF, G# | | vF, G# | ||
| U | | U | ||
| Major sixth | | Major sixth | ||
Major fifth | |||
|- | |- | ||
| 9 | | 9 | ||
| Line 212: | Line 238: | ||
| G | | G | ||
| M6, ~7 | | M6, ~7 | ||
M5, ~6 | |||
| F, vG | | F, vG | ||
| m6, ~7 | | m6, ~7 | ||
M5, ~6 | |||
| F, vG | | F, vG | ||
| U#\Pb | | U#\Pb | ||
| Minor seventh | | Minor seventh | ||
Minor sixth | |||
|- | |- | ||
| 10 | | 10 | ||
| Line 224: | Line 253: | ||
| GII\ or A!!/ | | GII\ or A!!/ | ||
| M7, v8 | | M7, v8 | ||
M6, v7 | |||
| G, vAv | | G, vAv | ||
| m7, v8 | | m7, v8 | ||
m6, v7 | |||
| G, vAv | | G, vAv | ||
| P\Qb | | P\Qb | ||
| Major seventh | | Major seventh | ||
Major sixth | |||
|- | |- | ||
| 11 | | 11 | ||
| Line 236: | Line 268: | ||
| A | | A | ||
| P8 | | P8 | ||
P7 | |||
| A | | A | ||
| P8 | | P8 | ||
P7 | |||
| A | | A | ||
| Q\P# | | Q\P# | ||
| Octave | | Octave | ||
Seventh | |||
|} | |} | ||
*in 2.7.9.11.15.17 subgroup | *in 2.7.9.11.15.17 subgroup | ||
| Line 260: | Line 295: | ||
pentatonic genchain of fifths: ...ds3 - ds7 - d4d - d8d - d5d - ms3 - ms7 - P4d - P1 - P5d - Ms3 - Ms7 - A4d - A1 - A5d - As3 - As7... (s = sub-, d = -oid) | pentatonic genchain of fifths: ...ds3 - ds7 - d4d - d8d - d5d - ms3 - ms7 - P4d - P1 - P5d - Ms3 - Ms7 - A4d - A1 - A5d - As3 - As7... (s = sub-, d = -oid) | ||
'''<u> | '''<u>Octatonic 5th-generated:</u>''' '''A B * C D E * F G * H A''' (generator = wide 3/2 = 7\11 = perfect 6th) | ||
A - B - B#/Cb - C - D - E - E#/Fb - F - G - G#/Hb - H - A | A - B - B#/Cb - C - D - E - E#/Fb - F - G - G#/Hb - H - A | ||