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 ==
The names I use for the oneirotonic interval classes are borrowed from diatonic interval categories: "second", "third", "fourth", "tritone" (4-step intervals), "fifth" (5-step intervals), "sixth" (6-step intervals), "seventh" (7-step intervals) and octave. You just have to remember that there's an extra category between fourths and fifths and that fourths and fifths are dissonant. Like in archeotonic you can change the perception of an interval by approaching it from different directions, but in oneirotonic it will change what diatonic interval class you hear it as: say, as both a third and a fourth, rather than both a major and a minor third.
{| 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 ==