Oneirotonic: Difference between revisions
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# [[Petrtri]] (13&21, a 4:5:9:11:13:17 or 2.5.9.11.13.17 temperament) | # [[Petrtri]] (13&21, a 4:5:9:11:13:17 or 2.5.9.11.13.17 temperament) | ||
== Intervals == | == Intervals == | ||
{| class="wikitable center-all right-2 right-6" | |||
|- | |||
! Generators | |||
! Notation (1/1 = J) | |||
! Octatonic interval category name | |||
! Generators | |||
! Notation of 2/1 inverse | |||
! Octatonic interval category name | |||
|- | |||
| colspan="6" style="text-align:left" | The "diatonic" 8-note scale has the following intervals (from some root): | |||
|- | |||
| 0 | |||
| J | |||
| perfect unison | |||
| 0 | |||
| J | |||
| octave | |||
|- | |||
| 1 | |||
| M | |||
| perfect mosfourth | |||
| -1 | |||
| Ob | |||
| perfect mossixth | |||
|- | |||
| 2 | |||
| P | |||
| major mosseventh | |||
| -2 | |||
| Lb | |||
| minor mosthird | |||
|- | |||
| 3 | |||
| K | |||
| major mossecond | |||
| -3 | |||
| Qb | |||
| minor moseighth | |||
|- | |||
| 4 | |||
| N | |||
| major mosfifth | |||
| -4 | |||
| Nb | |||
| minor mosfifth | |||
|- | |||
| 5 | |||
| Q | |||
| major moseighth | |||
| -5 | |||
| Kb | |||
| minor mossecond | |||
|- | |||
| 6 | |||
| L | |||
| major mosthird | |||
| -6 | |||
| Pb | |||
| minor mosseventh | |||
|- | |||
| 7 | |||
| O | |||
| augmented sixth | |||
| -7 | |||
| Mb | |||
| diminished fourth | |||
|- | |||
| colspan="6" style="text-align:left" | The "chromatic" 13-note scale also has the following intervals (from some root): | |||
|- | |||
| 8 | |||
| J# | |||
| augmented unison | |||
| -8 | |||
| 1094.62 | |||
| diminished octave | |||
|- | |||
| 9 | |||
| M# | |||
| augmented mosfourth | |||
| -9 | |||
| Obb | |||
| diminished mossixth | |||
|- | |||
| 10 | |||
| P# | |||
| augmented mosseventh | |||
| -10 | |||
| Lbb | |||
| diminished mosthird | |||
|- | |||
| 11 | |||
| K# | |||
| augmented mossecond | |||
| -11 | |||
| Qbb | |||
| diminished moseighth | |||
|- | |||
| 12 | |||
| N# | |||
| augmented mosfifth | |||
| -12 | |||
| Nb | |||
| diminished mosfifth | |||
|} | |||
== Modal harmony == | == Modal harmony == |