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

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Todo: Inversions of functional chords and counterpoint
Todo: Inversions of functional chords and counterpoint
On O Celephaisian:
* O: 0 277 738 923 (O Q L M)
* P: 0 277 738 923 (P J M N)
* Q: 0 185 369 646 (Q J K M)
* J: 0 277 738 923 (J L O P)
* K: 0 277 738 1015 (K M P J)
* L: 0 185 369 646 (L M N P)
* M: 0 277 738 923 (M O J K)
* N: 0 277 738 1015 (N P K M)
* O: 0 277 738 923 (O Q L M)


[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]
[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]
On M Mnionian (Melodic Mnarian):
* M: 0 277 738 923 (M O J K)
* N: 0 277 738 923 (N P K L#)
* O: 0 277 831 (O Q L#)?
* P: 0 277 738 923 (P J M N); 0 277 646 923 (P J L# N)
* Q: 0 185 369 646 (Q J K M)
* J: 0 185 369 646 (J K L# N)
* K: 0 277 738 1015 (K N P J)
* L#: 0 369 646 (L# O Q) ("misspelled"); 0 277 553 (L# N P); 0 277 831 (L# N J)


[https://xenpaper.com/#(bpm%3A60)(osc%3Asawtooth2)%7B13edo%7D%0A%7Br274.988hz%7D%0A(env%3A1811)%0A%23_0_2_3_5_6_8_10_12_13%0A%5B%600_%608_0_3_10_%270%5D-%0A%5B%602_%6010_2_5_10%5D12%0A%5B%603_0_3_6_13_%273%5D-%0A%5B%605_2_8_13_15_%278%5D%275%0A%5B%606_0_3_8_10_%276%5D-%0A%5B%608_2_5_10_%275%5D-%0A%5B%6010_0_6_8_%273%5D-%0A%5B%6012_5_8_12_%272%5D-%0A%5B0_3_8_10_12_13%5D- A progression on the ascending Melodic Mnarian scale]
[https://xenpaper.com/#(bpm%3A60)(osc%3Asawtooth2)%7B13edo%7D%0A%7Br274.988hz%7D%0A(env%3A1811)%0A%23_0_2_3_5_6_8_10_12_13%0A%5B%600_%608_0_3_10_%270%5D-%0A%5B%602_%6010_2_5_10%5D12%0A%5B%603_0_3_6_13_%273%5D-%0A%5B%605_2_8_13_15_%278%5D%275%0A%5B%606_0_3_8_10_%276%5D-%0A%5B%608_2_5_10_%275%5D-%0A%5B%6010_0_6_8_%273%5D-%0A%5B%6012_5_8_12_%272%5D-%0A%5B0_3_8_10_12_13%5D- A progression on the ascending Melodic Mnarian scale]


Adding 923 to chords works well, and for jazzy extensions one can add 185, 461, and 646 to the upper octave.
Adding 923 and 1108 to chords works well, and for jazzy extensions one can add 185, 461, and 646 to the upper octave.
 
Some more dissonant sonorities are
0 277 646 923.


[https://xenpaper.com/#(bpm%3A240)(osc%3Asawtooth2)%7B13edo%7D%0A%7Br360hz%7D%0A(env%3A1847)%0A%23_0_2_3_5_6_8_10_11~12_13%0A%5B%600_%608_0%5D_3_6_8-----........%0A%5B%600_%608_0%5D_3_8_10-----.......13%0A%5B%60%608_%608_11%5D_%6011_2_3---6_3-2-3-5-%0A%5B%605_5_8_11_13_8%5D-_11_13----_13_'2------%0A%5B%600_%608_0%5D_3_6_8-----........%0A%5B%600_%608_0%5D_3_8_10-----.....'3'2'0%0A%5B%603_3_6_8_0_11%5D-13_%5B%602_5_8%5D-_11-_8_%5B0_10%5D-_%5B%6011_8%5D_%5B%6010_6%5D-%5B%6011_8%5D_%5B%6010_6%5D_%5B%608_5%5D%0A%5B%603_%606_%6011_3%5D-_%5B%602_5%5D-_%5B%600_3%5D-.._%0A%5B%608_%608_%6010_%6012_2%5D_%608_%6010_%6012---- A Mnarian loop with an &8 leading tone at the end]
[https://xenpaper.com/#(bpm%3A240)(osc%3Asawtooth2)%7B13edo%7D%0A%7Br360hz%7D%0A(env%3A1847)%0A%23_0_2_3_5_6_8_10_11~12_13%0A%5B%600_%608_0%5D_3_6_8-----........%0A%5B%600_%608_0%5D_3_8_10-----.......13%0A%5B%60%608_%608_11%5D_%6011_2_3---6_3-2-3-5-%0A%5B%605_5_8_11_13_8%5D-_11_13----_13_'2------%0A%5B%600_%608_0%5D_3_6_8-----........%0A%5B%600_%608_0%5D_3_8_10-----.....'3'2'0%0A%5B%603_3_6_8_0_11%5D-13_%5B%602_5_8%5D-_11-_8_%5B0_10%5D-_%5B%6011_8%5D_%5B%6010_6%5D-%5B%6011_8%5D_%5B%6010_6%5D_%5B%608_5%5D%0A%5B%603_%606_%6011_3%5D-_%5B%602_5%5D-_%5B%600_3%5D-.._%0A%5B%608_%608_%6010_%6012_2%5D_%608_%6010_%6012---- A Mnarian loop with an &8 leading tone at the end]
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* 6md: minor pji
* 6md: minor pji
* 7md: minor triad with sharp 5th, minor 4ms, minor 6ms, minor 7ms
* 7md: minor triad with sharp 5th, minor 4ms, minor 6ms, minor 7ms
Melodic Mnarian
Mnionian (Melodic Mnarian)
* 0md: minor pji
* 0md: minor pji
* 1md: minor pji
* 1md: minor pji
Line 199: Line 175:


=== Modulations ===
=== Modulations ===
=== Modal harmony ===
Modes can be grouped by their functional properties.
* Major pJI chord on root: Dylathian, Illarnekian, Dylydian, Illarmixian
* Leading tone: Dylathian, Illarnekian, Celephaïsian, Mnionian
* Minor pJI triad on root: Celephaïsian, Ultharian, Mnarian, Kadathian
* Upper leading tone: Kadathian, Hlanithian, Sarnathian, Sardorian, Sarlocrian
* Minor 6-mosstep: Hlanithian, Sarnathian, Mnaeolian, Sarlocrian
* 0 462 831 pseudo-JI chord on root: Hlanithian, Mnaeolian
==== Celephaïsian ====
==== Ultharian ====
==== Mnarian ====
==== Kadathian ====


== 18edo oneiro theory ==
== 18edo oneiro theory ==
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