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

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Favorite modes: Dylathian (22122121), Illarnekian (22121221), Celephaisian (21221221), Mnionian (21212221), Dylydian (22212121), Harmonic Mnarian (21212131)?

We will primarily discuss functional harmony using ~~pseudo~~-JI chords, treating these separately from counterpoint. h/t to tprice and Jaimbee for the ~~pseudo~~-JI chords presented here and for other discussions.

We will primarily discuss functional harmony using delta-rational chords, treating these separately from counterpoint. h/t to tprice and Jaimbee for the delta-rational chords presented here and for other discussions.

13edo oneiro enjoys two main (rooted) ~~pseudo~~-JI sonorities analogous to major and minor triads: 0-(185)-369-646 ("~~pseudo~~-JI major triad" or just "major"/"Maj") and 0-277-738-923 ("~~pseudo~~-JI minor tetrad" or just "minor"/"min"). One of these chords are on the root in the 6 brightest modes of oneirotonic. In the two darkest modes, I think 0-277-738-1015 or 0-738-1015-277 works well. The chord 0-277-738 will be called "minor triad" or "mintri", and 0-277-646-923 will be called "minor diminished" or "mindim".

13edo oneiro enjoys two main (rooted) delta-rational sonorities analogous to major and minor triads: 0-(185)-369-646 ("delta-rational major triad" or just "major"/"Maj") and 0-277-738-923 ("delta-rational minor tetrad" or just "minor"/"min"). One of these chords are on the root in the 6 brightest modes of oneirotonic. In the two darkest modes, I think 0-277-738-1015 or 0-738-1015-277 works well. The chord 0-277-738 will be called "minor triad" or "mintri", and 0-277-646-923 will be called "minor diminished" or "mindim".

[https://xenpaper.com/#(bpm%3A60)(osc%3Asawtooth2)%7B13edo%7D%0A%7Br179hz%7D%0A(env%3A1811)%0A%23_0_2_3_5_7_8_10_12_13%0A%5B%600_%608_3_8_10_'0%5D-%0A%5B%602_5_10_12_'2%5D-%0A%5B%603_5_7_10_'0_'3%5D-%0A%5B%605_8_13_'2_'5%5D-%0A%5B%607_10_13_'3_'7%5D-%0A%5B%608_10_12_'2_'8%5D-%0A%5B%6010_'0_'5_'7_'10%5D-%0A%5B%6012_'2_'5_'8_'12%5D-%0A%5B0_'3_8_10_'13%5D- A progression on the ascending Celephaïsian scale]

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* Upper leading tone: Kadathian, Hlanithian, Sarnathian, Sardorian, Sarlocrian

* Minor 6-mosstep: Hlanithian, Sarnathian, Mnaeolian, Sarlocrian

* 0 462 831 ~~pseudo~~-JI chord on root: Dylathian, Dylydian, Hlanithian, Mnaeolian

* 0 462 831 delta-rational chord on root: Dylathian, Dylydian, Hlanithian, Mnaeolian

* "Dorian-like", i.e. no leading tone, 5d is minor, and m7d is major: Ultharian, Mnarian

* 7d is minor: Kadathian, Hlanithian

We'll call degrees that don't have the major ~~pseudo~~-JI or the minor ~~pseudo~~-JI chord ''dissonant degrees'' (keeping in mind that dissonance is a feature a chord has in a musical language rather than a purely psychoacoustic property).

We'll call degrees that don't have the major delta-rational or the minor delta-rational chord ''dissonant degrees'' (keeping in mind that dissonance is a feature a chord has in a musical language rather than a purely psychoacoustic property).

==== Celephaïsian ====

Functional chords on each degree:

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Favorite modes: Dylathian (33233232), Sarn (23233233)

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 4-steps (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. The chord 0-342-629-1085 is ~~pseudo~~-JI and is in fact very close to 32:39:46:60.

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 4-steps (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. The chord 0-342-629-1085 is delta-rational and is in fact very close to 32:39:46:60.

* 0-342-629: buzzy with sine-like timbres

@@ Line 126: / Line 126: @@
 Favorite modes: Dylathian (22122121), Illarnekian (22121221), Celephaisian (21221221), Mnionian (21212221), Dylydian (22212121), Harmonic Mnarian (21212131)?
-We will primarily discuss functional harmony using pseudo-JI chords, treating these separately from counterpoint. h/t to tprice and Jaimbee for the pseudo-JI chords presented here and for other discussions.
+We will primarily discuss functional harmony using delta-rational chords, treating these separately from counterpoint. h/t to tprice and Jaimbee for the delta-rational chords presented here and for other discussions.
-edo oneiro enjoys two main (rooted) pseudo-JI sonorities analogous to major and minor triads: 0-(185)-369-646 ("pseudo-JI major triad" or just "major"/"Maj") and 0-277-738-923 ("pseudo-JI minor tetrad" or just "minor"/"min"). One of these chords are on the root in the 6 brightest modes of oneirotonic. In the two darkest modes, I think 0-277-738-1015 or 0-738-1015-277 works well. The chord 0-277-738 will be called "minor triad" or "mintri", and 0-277-646-923 will be called "minor diminished" or "mindim".
+edo oneiro enjoys two main (rooted) delta-rational sonorities analogous to major and minor triads: 0-(185)-369-646 ("delta-rational major triad" or just "major"/"Maj") and 0-277-738-923 ("delta-rational minor tetrad" or just "minor"/"min"). One of these chords are on the root in the 6 brightest modes of oneirotonic. In the two darkest modes, I think 0-277-738-1015 or 0-738-1015-277 works well. The chord 0-277-738 will be called "minor triad" or "mintri", and 0-277-646-923 will be called "minor diminished" or "mindim".
 [https://xenpaper.com/#(bpm%3A60)(osc%3Asawtooth2)%7B13edo%7D%0A%7Br179hz%7D%0A(env%3A1811)%0A%23_0_2_3_5_7_8_10_12_13%0A%5B%600_%608_3_8_10_'0%5D-%0A%5B%602_5_10_12_'2%5D-%0A%5B%603_5_7_10_'0_'3%5D-%0A%5B%605_8_13_'2_'5%5D-%0A%5B%607_10_13_'3_'7%5D-%0A%5B%608_10_12_'2_'8%5D-%0A%5B%6010_'0_'5_'7_'10%5D-%0A%5B%6012_'2_'5_'8_'12%5D-%0A%5B0_'3_8_10_'13%5D- A progression on the ascending Celephaïsian scale]
@@ Line 180: / Line 180: @@
 * Upper leading tone: Kadathian, Hlanithian, Sarnathian, Sardorian, Sarlocrian
 * Minor 6-mosstep: Hlanithian, Sarnathian, Mnaeolian, Sarlocrian
-* 0 462 831 pseudo-JI chord on root: Dylathian, Dylydian, Hlanithian, Mnaeolian
+* 0 462 831 delta-rational chord on root: Dylathian, Dylydian, Hlanithian, Mnaeolian
 * "Dorian-like", i.e. no leading tone, 5d is minor, and m7d is major: Ultharian, Mnarian
 * 7d is minor: Kadathian, Hlanithian
-We'll call degrees that don't have the major pseudo-JI or the minor pseudo-JI chord ''dissonant degrees'' (keeping in mind that dissonance is a feature a chord has in a musical language rather than a purely psychoacoustic property).
+We'll call degrees that don't have the major delta-rational or the minor delta-rational chord ''dissonant degrees'' (keeping in mind that dissonance is a feature a chord has in a musical language rather than a purely psychoacoustic property).
 ==== Celephaïsian ====
 Functional chords on each degree:
@@ Line 259: / Line 259: @@
 Favorite modes: Dylathian (33233232), Sarn (23233233)
-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 4-steps (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. The chord 0-342-629-1085 is pseudo-JI and is in fact very close to 32:39:46:60.
+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 4-steps (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. The chord 0-342-629-1085 is delta-rational and is in fact very close to 32:39:46:60.
 * 0-342-629: buzzy with sine-like timbres