5L 3s: Difference between revisions
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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- | * R-Mo3-Mo5: Falling Major Triad; Squashed Major Triad | ||
* R- | * R-mo3-Mo5: Falling Minor Triad; Squashed Minor Triad | ||
* R- | * R-mo3-mo5: Squashed Dim Triad | ||
* R- | * R-Mo3-Ao5: Squashed Aug Triad | ||
* R- | * R-Mo3-Mo5-Ao6: Falling Major Triad Add6 | ||
* R- | * R-mo3-Mo5-Ao6: Falling Minor Triad Add6 | ||
* R- | * R-Mo3-Mo5-Mo7: Falling Major Tetrad | ||
* R- | * R-mo3-Mo5-Mo7: Falling Minor Tetrad | ||
* R- | * R-mo3-mo5-Mo7: Half-Diminished Tetrad | ||
* R- | * R-mo3-mo5-mo7: Orwell Tetrad, Diminished Tetrad | ||
* R- | * R-Mo3-Ao6: Squashed 1st Inversion Minor Triad; Sephiroth Triad (approximates 8:10:13 in 13edo and 31edo) | ||
* R- | * R-Mo3-Ao6-Mo8: Sephiroth Triad Add7 | ||
* R- | * R-Mo3-Ao6-(Mo2)-(Po4): Sephiroth Triad Add9 Sub11 | ||
* R- | * R-Mo3-Ao6-(mo2)-(Po4): Sephiroth Triad Addm9 Sub11 | ||
* R- | * R-Mo3-Ao6-(Po4): Sephiroth Triad Sub11 | ||
* R- | * R-mo3-Po6: Rising Minor Triad; Squashed 1st Inversion Major Triad | ||
* R- | * R-Mo3-Po6: Rising Major Triad | ||
* R- | * R-mo3-Mo7: Minor add6 no5 | ||
* R- | * R-mo3-mo7: Minor addm6 no5 | ||
* R- | * R-mo5-Mo7: Falling no3 add6 | ||
* R- | * R-mo5-mo7: Falling no3 add6 | ||
* R- | * R-Mo3-Mo8: Major 7th no5 | ||
* R- | * R-mo3-Mo8: Minor Major 7th no5 | ||
* R- | * R-Mo3-Mo5-Mo8: Falling Major Seventh Tetrad | ||
* R- | * R-mo3-Mo5-Mo8: Falling Minor Major Seventh Tetrad | ||
* R- | * R-Mo3-Mo7-Mo8: no5 Major Seventh Add6 | ||
* R- | * R-mo3-Mo7-Mo8: no5 Minor Major Seventh Add6 | ||
* R- | * R-Mo3-Po6-Mo8: Rising Major Seventh | ||
* R- | * R-mo3-Po6-Mo8: Rising Oneiro Minor Major Seventh | ||
* R- | * R-Mo3-(Mo2): Oneiro Major Add9 | ||
* R- | * R-mo3-(Mo2): Oneiro Minor Add9 | ||
* R- | * R-Mo3-Mo5-(Mo2): Falling Major Triad Add9 | ||
* R- | * R-mo3-Mo5-(Mo2): Falling Minor Triad Add9 | ||
* R- | * R-Mo3-(Mo2)-(Po4): no5 Major Add9 Sub11 | ||
* R- | * R-mo3-(Mo2)-(Po4): no5 Minor Add9 sub11 | ||
* R-Mo2-Po4: Sus24 No5 | |||
* R- | * R-Mo2-Mo5: Falling Sus2 Triad | ||
* R- | * R-Po4-Mo5: Falling Sus4 Triad | ||
* R- | * R-Mo2-Po4-Mo5: Falling Sus24 | ||
* R- | * R-Po4-Mo7: Oneiro Quartal Triad | ||
* R- | * R-Po4-Mo7-(Mo2): Oneiro Quartal Tetrad, Core Tetrad | ||
* R- | * R-Po4-Mo7-(Mo2)-(Mo5): Oneiro Quartal Pentad, Core Pentad | ||
* R- | * R-Po4-Mo7-(Mo2)-(Mo5)-(Mo8): Oneiro Quartal Hexad | ||
* R- | * R-Po4-Mo7-Mo8: Oneiro Quartal Seventh Tetrad | ||
* R- | * R-Po4-mo8: Expanding Quartal Triad | ||
* R- | * R-Mo2-Po4-mo8: Expanding Quartal Triad add2 | ||
* R- | * R-mo3-Po4-mo8: Expanding Quartal Triad Addm3 | ||
* R- | * R-mo5-mo8: Contracting Quartal Triad | ||
* R- | * R-mo5-mo7-mo8: Contracting Quartal Triad Addm7 | ||
* R- | * R-Mo3-Mo5-mo8: Falling Major Triad addm7 | ||
* R- | |||
== 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 Baroque 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 and 16:23:30. 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 recommendable 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, 9:10:11:13, 8:15:23, and 16:23:30). | 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 Baroque 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 and 16:23:30. 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 recommendable 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, 9:10:11:13, 8:15:23, and 16:23:30). | ||