13edo scales: Difference between revisions

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My subjective perception of the relative consonance of different intervals from the most consonant to the most dissonant (octave equivalents are not taken into account):

*''Basals'' (the most consonant): major second, major and minor thirds

*''Glitterers'' (intermediate, buzzy consonance): major and minor fourths, major and minor sixths, major and minor sevenths, minor ninth

*''Flarers'' (the most dissonant): minor and major fifths, the most dissonant and categorically ambiguous intervals.

Cheat sheet of important [[MOS]] scale types with L = major second, s = minor second:

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====Modes with sharp tritone====

~~The overview of the intervals and their harmonic function in the brighter modes (Dylathian, Ilarnekian, Celephaïsian and Ultharian, but especially the first three):~~

*''Basals'': The major second, the thirds and the minor fourth. These are the most important intervals for pseudo-diatonic functional harmony in Oneirotonic.

*''Glitterers'': The sixths (counting the Dylathian augmented fifth) and the sevenths; if chromatic alterations are allowed, the minor ninth and the major fourth. These intervals tend to rub and buzz nicely over the basals.

*''Flarers'': The minor and major fifths, the most dissonant and categorically ambiguous intervals. Melodically they can function as fifths, tritones, or sixths depending on context. Be careful with the major tritone in the minor modes; emphasizing it too much can cause unwanted shifts in tonal center, since it functions much more strongly as a 5/4 major third over the third degree than as a perfect fifth over the root.

The brighter modes can be viewed as providing a distorted version of diatonic functional harmony. For example, in the Dylathian mode, the 4:5:9 triad on the sixth degree can sound like both "V" and "III of iv" depending on context. Basic chord progressions can move by minor fourths, thirds, or major seconds: for example, J major-M minor-P minor-Ob major-J major (in Ilarnekian) or J major-K major-O major-M major-J major (in Dylathian).

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 | style="text-align:center;" | Octave (P8)
 |}
+My subjective perception of the relative consonance of different intervals from the most consonant to the most dissonant (octave equivalents are not taken into account):
+*''Basals'' (the most consonant): major second, major and minor thirds
+*''Glitterers'' (intermediate, buzzy consonance): major and minor fourths, major and minor sixths, major and minor sevenths, minor ninth
+*''Flarers'' (the most dissonant): minor and major fifths, the most dissonant and categorically ambiguous intervals.
 Cheat sheet of important [[MOS]] scale types with L = major second, s = minor second:
@@ Line 241: / Line 246: @@
 ====Modes with sharp tritone====
-The overview of the intervals and their harmonic function in the brighter modes (Dylathian, Ilarnekian, Celephaïsian and Ultharian, but especially the first three):
-*''Basals'': The major second, the thirds and the minor fourth. These are the most important intervals for pseudo-diatonic functional harmony in Oneirotonic.
-*''Glitterers'': The sixths (counting the Dylathian augmented fifth) and the sevenths; if chromatic alterations are allowed, the minor ninth and the major fourth. These intervals tend to rub and buzz nicely over the basals.
-*''Flarers'': The minor and major fifths, the most dissonant and categorically ambiguous intervals. Melodically they can function as fifths, tritones, or sixths depending on context. Be careful with the major tritone in the minor modes; emphasizing it too much can cause unwanted shifts in tonal center, since it functions much more strongly as a 5/4 major third over the third degree than as a perfect fifth over the root.
 The brighter modes can be viewed as providing a distorted version of diatonic functional harmony. For example, in the Dylathian mode, the 4:5:9 triad on the sixth degree can sound like both "V" and "III of iv" depending on context. Basic chord progressions can move by minor fourths, thirds, or major seconds: for example, J major-M minor-P minor-Ob major-J major (in Ilarnekian) or J major-K major-O major-M major-J major (in Dylathian).