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

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== 21edo 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 16:23:30 (R-Lmos5-Lmos8). 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, as in 13edo and hypohard oneiro, the main consonance is now chords using seconds and sevenths (in addition to thirds and sixths)~~, such as 0-171-457, 0-343-457, 0-114-457, 0-114-400, or 0-171-1086~~. The consonant 114¢ and 1086¢ intervals may help to mask some of the more dissonant sonorities such as the naiadic.

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 16:23:30 (R-Lmos5-Lmos8). 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, as in 13edo and hypohard oneiro, the main consonance is now chords using seconds and sevenths (in addition to thirds and sixths). The consonant 114¢ and 1086¢ intervals may help to mask some of the more dissonant sonorities such as the naiadic and the sharp fifth, and work for chill and lo-fi styles.

* 0-343-457

* 0-171-457

* 0-286-400

* 0-171-457-743

* 0-114-571

* 0-286-571

* 0-286-686

* 0-457-571

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34edo (semisoft) oneirotonic is broadly similar, except the small steps are more 12edo-like and less meantone-like.

* sus24 non5: J-K-M, L-M-O, M-N-P, O-P-J, Q-J-L

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* Falling Minor Triad: J-L-N, O-Q-K

* squashed diminished: M-O-Q, P-J-L, K-M-O, N-P-J

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Seconds, tritones and sevenths are consonances in addition to thirds and sixths. The naiadic is a semiconsonance. The sharp fifth is fifth-like but is still a dissonance; the triad root-third-629 can resolve to a more consonant chord such as 0-343-457.

@@ Line 272: / Line 272: @@
 == 21edo 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 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 16:23:30 (R-Lmos5-Lmos8). 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, as in 13edo and hypohard oneiro, the main consonance is now chords using seconds and sevenths (in addition to thirds and sixths), such as 0-171-457, 0-343-457, 0-114-457, 0-114-400, or 0-171-1086. The consonant 114¢ and 1086¢ intervals may help to mask some of the more dissonant sonorities such as the naiadic.
+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 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 16:23:30 (R-Lmos5-Lmos8). 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, as in 13edo and hypohard oneiro, the main consonance is now chords using seconds and sevenths (in addition to thirds and sixths). The consonant 114¢ and 1086¢ intervals may help to mask some of the more dissonant sonorities such as the naiadic and the sharp fifth, and work for chill and lo-fi styles.
+* 0-343-457
+* 0-171-457
+* 0-286-400
+* 0-171-457-743
+* 0-114-571
+* 0-286-571
+* 0-286-686
+* 0-457-571
+<!--
 edo (semisoft) oneirotonic is broadly similar, except the small steps are more 12edo-like and less meantone-like.
 * sus24 non5: J-K-M, L-M-O, M-N-P, O-P-J, Q-J-L
@@ Line 285: / Line 293: @@
 * Falling Minor Triad: J-L-N, O-Q-K
 * squashed diminished: M-O-Q, P-J-L, K-M-O, N-P-J
+-->
 Seconds, tritones and sevenths are consonances in addition to thirds and sixths. The naiadic is a semiconsonance. The sharp fifth is fifth-like but is still a dissonance; the triad root-third-629 can resolve to a more consonant chord such as 0-343-457.