5L 3s: Difference between revisions

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== 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 9:10:11:13 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. It is important to note that the sharp fifth is now harmonically much more fifth-like than the sharp fifth. Rather than squashed tertian triads, it may be recommendable to use triads with sharp fifths, quartal harmony, secundal harmony, 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).

=== Primodal theory ===

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 == Hyposoft oneiro theory ==
-edo 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 9:10:11:13 and 16:23:30.
+edo 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. It is important to note that the sharp fifth is now harmonically much more fifth-like than the sharp fifth. Rather than squashed tertian triads, it may be recommendable to use triads with sharp fifths, quartal harmony, secundal harmony, 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).
 === Primodal theory ===