User:Inthar/5L 3s: Difference between revisions

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TAMNAMS consistency correction
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==== Other MODMOSes ====
==== Other MODMOSes ====
Other potentially interesting oneirotonic MODMOSes (that do not use half-sharps or half-flats) are:
Other potentially interesting oneirotonic MODMOSes (that do not use half-sharps or half-flats) are:
* the distorted harmonic minor LSLLSALS (A = aug oneiro2nd = L + chroma)
* the distorted harmonic minor LSLLSALS (A = aug oneiron2nd = L + chroma)
* the distorted Freygish SASLSLLS
* the distorted Freygish SASLSLLS
* Celephaïsian &4 &6 LsAsLsLs
* Celephaïsian &4 &6 LsAsLsLs
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==== Pentatonic subsets ====
==== Pentatonic subsets ====
The ''Oneiro Falling Suspended Pentatonic'', i.e. R-Lo2-Po4-Lo5-Lo7, is also an important subset in ana modes: it roughly implies the "least" tonality (In particular, it only implies ana-ness, not major or minor tonality), and it sounds floaty, and suspended, much like suspended and quartal chords do in diatonic contexts. The ''Oneiro Rising Suspended Pentatonic'' R-Lo2-Po4-Po6-Lo7 (J-K-M-O-P) can be used for similar effect.
The ''Oneiro Falling Suspended Pentatonic'', i.e. R-Lon2-Pon4-Lon5-Lon7, is also an important subset in ana modes: it roughly implies the "least" tonality (In particular, it only implies ana-ness, not major or minor tonality), and it sounds floaty, and suspended, much like suspended and quartal chords do in diatonic contexts. The ''Oneiro Rising Suspended Pentatonic'' R-Lon2-Pon4-Pon6-Lon7 (J-K-M-O-P) can be used for similar effect.


Modes of the oneiro-pentatonic MOS:
Modes of the oneiro-pentatonic MOS:
# R-Lo2-Po4-Lo5-Lo7 Oneiro Falling Suspended Pentatonic
# R-Lon2-Pon4-Lon5-Lon7 Oneiro Falling Suspended Pentatonic
# R-Lo2-Po4-Po6-Lo7 Oneiro Rising Suspended Pentatonic
# R-Lon2-Pon4-Pon6-Lon7 Oneiro Rising Suspended Pentatonic
# R-so3-Po4-Po6-Lo7 Oneiro Symmetrical Pentatonic
# R-son3-Pon4-Pon6-Lon7 Oneiro Symmetrical Pentatonic
# R-so3-Po4-Po6-so8 Oneiro Expanding Quartal Pentatonic
# R-son3-Pon4-Pon6-so8 Oneiro Expanding Quartal Pentatonic
# R-so3-so5-Po6-so8 Oneiro Diminished Pentatonic
# R-son3-son5-Pon6-so8 Oneiro Diminished Pentatonic


==== Functional harmony ====
==== Functional harmony ====
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** I-IVmin-VImin-@VIIImaj-@III
** I-IVmin-VImin-@VIIImaj-@III


Another Western-classical-influenced approach to oneirotonic chord progressions is to let the harmony emerge from counterpoint. This would allow, for example, using the perfect oneirofourth and small oneirofifth (instead of the large oneirothird and the perfect oneirofourth) as stand-ins for major thirds and fourths in neobaroque contexts (this adds some dissonance which might be what you want sometimes, e.g. in a chord that is supposed to resolve to a more consonant chord).
Another Western-classical-influenced approach to oneirotonic chord progressions is to let the harmony emerge from counterpoint. This would allow, for example, using the perfect oneirofourth and minor oneirofifth (instead of the major oneirothird and the perfect oneirofourth) as stand-ins for major thirds and fourths in neobaroque contexts (this adds some dissonance which might be what you want sometimes, e.g. in a chord that is supposed to resolve to a more consonant chord).
===== Samples =====
===== Samples =====
[[File:Oneiro Baroque Exercises 13edo.mp3‎]]
[[File:Oneiro Baroque Exercises 13edo.mp3‎]]
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"Rising" means that a triad uses the perfect mos6th (major 5th); "falling" means that a triad uses a major mos5th (minor 5th)
"Rising" means that a triad uses the perfect mos6th (major 5th); "falling" means that a triad uses a major mos5th (minor 5th)


* R-Lo3-Lo5: Falling Major Triad; Squashed Major Triad
* R-Lon3-Lon5: Falling Major Triad; Squashed Major Triad
* R-so3-Lo5: Falling Minor Triad; Squashed Minor Triad
* R-son3-Lon5: Falling Minor Triad; Squashed Minor Triad
* R-so3-so5: Squashed Dim Triad
* R-son3-son5: Squashed Dim Triad
* R-Lo3-Ao5: Squashed Aug Triad
* R-Lon3-Aon5: Squashed Aug Triad
* R-Lo3-Lo5-Ao6: Falling Major Triad Add6
* R-Lon3-Lon5-Aon6: Falling Major Triad Add6
* R-so3-Lo5-Ao6: Falling Minor Triad Add6
* R-son3-Lon5-Aon6: Falling Minor Triad Add6
* R-Lo3-Lo5-Lo7: Falling Major Tetrad
* R-Lon3-Lon5-Lon7: Falling Major Tetrad
* R-so3-Lo5-Lo7: Falling Minor Tetrad
* R-son3-Lon5-Lon7: Falling Minor Tetrad
* R-so3-so5-Lo7: Oneiro Half-Diminished Tetrad
* R-son3-son5-Lon7: Oneiro Half-Diminished Tetrad
* R-so3-so5-so7: Orwell Tetrad, Oneiro Diminished Tetrad
* R-son3-son5-son7: Orwell Tetrad, Oneiro Diminished Tetrad
* R-Lo3-Ao6: Squashed 1st Inversion Minor Triad; Sephiroth Triad (approximates 8:10:13 in 13edo and 31edo)
* R-Lon3-Aon6: Squashed 1st Inversion Minor Triad; Sephiroth Triad (approximates 8:10:13 in 13edo and 31edo)
* R-Lo3-Ao6-Lo8: Sephiroth Triad Add7
* R-Lon3-Aon6-Lo8: Sephiroth Triad Add7
* R-Lo3-Ao6-(Mo2)-(Po4): Sephiroth Tetrad Add9
* R-Lon3-Aon6-(Mon2)-(Pon4): Sephiroth Tetrad Add9
* R-Lo3-Ao6-(mo2)-(Po4): Sephiroth Tetrad Addm9
* R-Lon3-Aon6-(mon2)-(Pon4): Sephiroth Tetrad Addm9
* R-Lo3-Ao6-(Po4): Sephiroth Tetrad
* R-Lon3-Aon6-(Pon4): Sephiroth Tetrad
* R-so3-Po6: Rising Minor Triad; Squashed 1st Inversion Major Triad
* R-son3-Pon6: Rising Minor Triad; Squashed 1st Inversion Major Triad
* R-Lo3-Po6: Rising Major Triad
* R-Lon3-Pon6: Rising Major Triad
* R-so3-Lo7: Minor add6 no5
* R-son3-Lon7: Minor add6 non5
* R-so3-so7: Minor addm6 no5
* R-son3-son7: Minor addm6 non5
* R-so5-Lo7: Falling no3 add6
* R-son5-Lon7: Falling non3 add6
* R-so5-so7: Falling no3 add6
* R-son5-son7: Falling non3 add6
* R-Lo3-Lo8: Major 7th no5
* R-Lon3-Lo8: Major 7th non5
* R-so3-Lo8: Minor Major 7th no5
* R-son3-Lo8: Minor Major 7th non5
* R-Lo3-Lo5-Lo8: Falling Major Seventh Tetrad
* R-Lon3-Lon5-Lo8: Falling Major Seventh Tetrad
* R-so3-Lo5-Lo8: Falling Minor Major Seventh Tetrad
* R-son3-Lon5-Lo8: Falling Minor Major Seventh Tetrad
* R-Lo3-Lo7-Lo8: no5 Major Seventh Add6
* R-Lon3-Lon7-Lo8: non5 Major Seventh Add6
* R-so3-Lo7-Lo8: no5 Minor Major Seventh Add6
* R-son3-Lon7-Lo8: non5 Minor Major Seventh Add6
* R-Lo3-Po6-Lo8: Rising Major Seventh
* R-Lon3-Pon6-Lo8: Rising Major Seventh
* R-so3-Po6-Lo8: Rising Oneiro Minor Major Seventh
* R-son3-Pon6-Lo8: Rising Oneiro Minor Major Seventh
* R-Lo3-(Mo2): Oneiro Major Add9
* R-Lon3-(Mon2): Oneiro Major Add9
* R-so3-(Mo2): Oneiro Minor Add9
* R-son3-(Mon2): Oneiro Minor Add9
* R-Lo3-Lo5-(Mo2): Falling Major Triad Add9
* R-Lon3-Lon5-(Mon2): Falling Major Triad Add9
* R-so3-Lo5-(Mo2): Falling Minor Triad Add9
* R-son3-Lon5-(Mon2): Falling Minor Triad Add9
* R-Lo3-(Mo2)-(Po4): no5 Major Add9 Sub11
* R-Lon3-(Mon2)-(Pon4): non5 Major Add9 Sub11
* R-so3-(Mo2)-(Po4): no5 Minor Add9 sub11
* R-son3-(Mon2)-(Pon4): non5 Minor Add9 sub11
* R-Lo2-Po4: Sus24 No5
* R-Lon2-Pon4: Sus24 Non5
* R-Lo2-Lo5: Falling Sus2 Triad
* R-Lon2-Lon5: Falling Sus2 Triad
* R-Po4-Lo5: Falling Sus4 Triad
* R-Pon4-Lon5: Falling Sus4 Triad
* R-Lo2-Po4-Lo5: Falling Sus24
* R-Lon2-Pon4-Lon5: Falling Sus24
* R-Po4-Lo7: Oneiro Quartal Triad
* R-Pon4-Lon7: Oneiro Quartal Triad
* R-Po4-Lo7-(Mo2): Oneiro Quartal Tetrad, Core Tetrad
* R-Pon4-Lon7-(Mon2): Oneiro Quartal Tetrad, Core Tetrad
* R-Po4-Lo7-(Mo2)-(Mo5): Oneiro Quartal Pentad, Core Pentad
* R-Pon4-Lon7-(Mon2)-(Mon5): Oneiro Quartal Pentad, Core Pentad
* R-Po4-Lo7-(Mo2)-(Mo5)-(Mo8): Oneiro Quartal Hexad
* R-Pon4-Lon7-(Mon2)-(Mon5)-(Mo8): Oneiro Quartal Hexad
* R-Po4-Lo7-Lo8: Oneiro Quartal Seventh Tetrad
* R-Pon4-Lon7-Lo8: Oneiro Quartal Seventh Tetrad
* R-Po4-so8: Expanding Quartal Triad
* R-Pon4-so8: Expanding Quartal Triad
* R-Lo2-Po4-so8: Expanding Quartal Triad add2
* R-Lon2-Pon4-so8: Expanding Quartal Triad add2
* R-so3-Po4-so8: Expanding Quartal Triad Addm3
* R-son3-Pon4-so8: Expanding Quartal Triad Addm3
* R-so5-so8: Contracting Quartal Triad
* R-son5-so8: Contracting Quartal Triad
* R-so5-so7-so8: Contracting Quartal Triad Addm7
* R-son5-son7-so8: Contracting Quartal Triad Addm7
* R-Lo3-Lo5-so8: Falling Major Triad addm7
* R-Lon3-Lon5-so8: Falling Major Triad addm7


== Hyposoft oneiro theory ==
== Hyposoft oneiro theory ==
21edo has the [[Step ratio|soft]] [[oneirotonic]] (5L 3s) MOS with generator 8\21; in addition to the [[naiadic]]s (457.14¢) and extremely sharp fifths (742.85¢) that generate it, it has neutral thirds (instead of major thirds as in [[13edo]] oneirotonic), neogothic minor thirds, and meantone-like diatonic semitones. The oneirofifths (4-step intervals) are more tritone-like than fifth-like, unlike in 13edo, although they do have a consonant, even JI-like quality to them. In terms of JI, it mainly approximates 5:9:11:13 (R-so8-Lo2-Po4) and 16:23:30 (R-Lo5-Lo8). Importantly, the sharp fifth is now harmonically much more fifth-like than the flat fifth, unlike in [[13edo]] and harder tunings. Rather than squashed tertian triads, it may be preferable to use triads with sharp fifths, quartal harmony, stacks of seconds and thirds, third+sixth and third+seventh chords, and using the JI approximations (subsets of 5:9:11:13 (R-so8-Lo2-Po4), 9:10:11:13 (R-Lo2-Lo3-Lo5), and 8:15:23 (R-Lo7-Lo5)).
21edo has the [[Step ratio|soft]] [[oneirotonic]] (5L 3s) MOS with generator 8\21; in addition to the [[naiadic]]s (457.14¢) and extremely sharp fifths (742.85¢) that generate it, it has neutral thirds (instead of major thirds as in [[13edo]] oneirotonic), neogothic minor thirds, and meantone-like diatonic semitones. The oneirofifths (4-step intervals) are more tritone-like than fifth-like, unlike in 13edo, although they do have a consonant, even JI-like quality to them. In terms of JI, it mainly approximates 5:9:11:13 (R-so8-Lon2-Pon4) and 16:23:30 (R-Lon5-Lo8). Importantly, the sharp fifth is now harmonically much more fifth-like than the flat fifth, unlike in [[13edo]] and harder tunings. Rather than squashed tertian triads, it may be preferable to use triads with sharp fifths, quartal harmony, stacks of seconds and thirds, third+sixth and third+seventh chords, and using the JI approximations (subsets of 5:9:11:13 (R-so8-Lon2-Pon4), 9:10:11:13 (R-Lon2-Lon3-Lon5), and 8:15:23 (R-Lon7-Lon5)).


34edo (semisoft) oneirotonic is broadly similar, except the small steps are more 12edo-like and less meantone-like, and it is a bit more optimized for the 5:9:11:13 approximation.
34edo (semisoft) oneirotonic is broadly similar, except the small steps are more 12edo-like and less meantone-like, and it is a bit more optimized for the 5:9:11:13 approximation.


Approximate low-complexity JI chords in the JKLMNOPQ = Ultharian mode:
Approximate low-complexity JI chords in the JKLMNOPQ = Ultharian mode:
* sus24 no5 ≈ 5:11:13, 10:11:13: J-K-M, L-M-O, M-N-P, O-P-J, Q-J-L
* sus24 non5 ≈ 5:11:13, 10:11:13: J-K-M, L-M-O, M-N-P, O-P-J, Q-J-L
* sus24 no5 addmin7 ≈ 5:9:11:13: J-Q-K-M, M-L-N-P
* sus24 non5 addmin7 ≈ 5:9:11:13: J-Q-K-M, M-L-N-P
* falling fifth addmaj7 ≈ 16:23:30: O-K-N, L-P-K, Q-M-P
* falling fifth addmaj7 ≈ 16:23:30: O-K-N, L-P-K, Q-M-P
* Falling Major Triad ≈ 9:11:13: Q-K-M, L-N-P
* Falling Major Triad ≈ 9:11:13: Q-K-M, L-N-P