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Created page with "This page describes User:Inthar's approach to 13edo, mainly based on oneirotonic (5L 3s). == Standing assumptions == The Fox-Raven absolute pitch system is used in..."
 
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|-  
|-  
| | LLLsLsLs
| | LLLsLsLs
| style="text-align:center;" | 7|0 &4
| style="text-align:center;" | 7|0 #3d
| | Dylydian (Dylathian #4)
| | Dylydian (Dylathian #3d)
|-
|-
| | LLsLsLsL
| | LLsLsLsL
| style="text-align:center;" | 6|1 @8
| style="text-align:center;" | 6|1 b7d
| | Illarmixian (Illarnekian b8)
| | Illarmixian (Illarnekian b7d)
|-
|-
| | LsLLLsLs
| | LsLLLsLs
| style="text-align:center;" | 5|2 &6
| style="text-align:center;" | 5|2 #5d
| | Celdorian (Celephaïsian #6)
| | Celdorian (Celephaïsian #5d)
|-
|-
| | sLLLsLsL
| | sLLLsLsL
| style="text-align:center;" | 4|3 @2
| style="text-align:center;" | 4|3 b1d
| | Ulphrygian (Ultharian b2)
| | Ulphrygian (Ultharian b1d)
|-
|-
| | LsLsLLLs
| | LsLsLLLs
| style="text-align:center;" | 3|4 &8
| style="text-align:center;" | 3|4 #7d
| | Mnionian (Mnarian #8)
| | Mnionian (Mnarian #7d)
|-
|-
| | sLsLLLsL
| | sLsLLLsL
| style="text-align:center;" | 0|7 &7
| style="text-align:center;" | 0|7 #6d
| | Sardorian (Sarnathian #7)
| | Sardorian (Sarnathian #6d)
|-
|-
| | LsLsLsLL
| | LsLsLsLL
| style="text-align:center;" | 3|4 @7
| style="text-align:center;" | 3|4 b6d
| | Mnaeolian (Mnarian b7)
| | Mnaeolian (Mnarian b6d)
|-
|-
| | sLsLsLLL
| | sLsLsLLL
| style="text-align:center;" | 0|7 @6
| style="text-align:center;" | 0|7 #5d
| | Sarlocrian (Sarnathian b6)
| | Sarlocrian (Sarnathian b5d)
|}
|}


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In [[18edo]], the augmented 3-mosstep (LLL) is a 600¢ tritone, which can be used as a dissonance.
In [[18edo]], the augmented 3-mosstep (LLL) is a 600¢ tritone, which can be used as a dissonance.


==== Other modmosses ====
==== Modes of the harmonic Mnarian scale ====
* LSLSLSAS Harmonic Mnarian
We call the scale LsLsLsLAs (with A = L + chroma) the ''harmonic Mnarian'' scale. The table below shows the modes of Harmonic Mnarian.
{| class="wikitable"
|-
| style="text-align:center;" | '''Mode'''
| style="text-align:center;" | [[Modal UDP Notation|'''UDP''']]
| style="text-align:center;" | '''Name'''
|-
| | LsLsLsAs
| style="text-align:center;" | 3|4 b6d #7d
| | Mnarian b6d #7d
|-
| | sLsLsAsL
| style="text-align:center;" | 0|7 b5d #7d
| | Sarnathian b5d #7d
|-
| | LsLsAsLs
| style="text-align:center;" | 3|4 #5d #7d
| | Mnarian #5d #7d
|-
| | sLsAsLsL
| style="text-align:center;" | 0|7 #4d #6d
| | Sarnathian #4d #6d
|-
| | LsAsLsLs
| style="text-align:center;" | 5|3 #3d #5d
| | Celephaïsian #3d #5d
|-
| | sAsLsLsL
| style="text-align:center;" | 4|3 b1d #3d
| | Ultharian b1d #3d
|-
| | AsLsLsLs
| style="text-align:center;" | 7|0 #1d #3d
| | Dylathian #1d #3d
|-
| | sLsLsLsA
| style="text-align:center;" | 0|7 b5d b7d
| | Sarnathian b5d b7d
|}


== 13edo oneiro chordal theory ==
== 13edo oneiro chordal theory ==
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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".
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]
[https://luphoria.com/xenpaper/#(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%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://luphoria.com/xenpaper/#(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 and 1108 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.


[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://luphoria.com/xenpaper/#(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%3A30)(osc%3Asawtooth2)%0A%7Br200Hz%7D%7B13edo%7D%0A(env%3A1846)%0A%5B0_4_7_10_%272_%276_%279_%2712%5D-.._%23_Dylydian%0A%5B0_5_9_%270_%272_%274_%277_%2710_%2712%5D-.._%23_Dylathian%0A%5B0_5_8_10_%270_%272_%274_%277_%2712%5D-.._%23_Illarnekian%0A%5B0_3_8_10_%272_%275_%277_%2712%5D-.._%23_Celepha%C3%AFsian%0A%5B0_5_9_%273_%277_%2710_%2712_%27%272%5D-.._%23_Celdorian%0A%5B0_3_6_8_%2711_%272_%275_10%5D-.._%23_Mnarian%0A%5B0_3_6_8_10_%272_%275_%2712%5D-.._%23_Mnionian Some motherchords of oneiro modes]
[https://luphoria.com/xenpaper/#(bpm%3A30)(osc%3Asawtooth2)%0A%7Br200Hz%7D%7B13edo%7D%0A(env%3A1846)%0A%5B0_4_7_10_%272_%276_%279_%2712%5D-.._%23_Dylydian%0A%5B0_5_9_%270_%272_%274_%277_%2710_%2712%5D-.._%23_Dylathian%0A%5B0_5_8_10_%270_%272_%274_%277_%2712%5D-.._%23_Illarnekian%0A%5B0_3_8_10_%272_%275_%277_%2712%5D-.._%23_Celepha%C3%AFsian%0A%5B0_5_9_%273_%277_%2710_%2712_%27%272%5D-.._%23_Celdorian%0A%5B0_3_6_8_%2711_%272_%275_10%5D-.._%23_Mnarian%0A%5B0_3_6_8_10_%272_%275_%2712%5D-.._%23_Mnionian Some motherchords of oneiro modes]
=== Functional chords on each degree ===
=== Functional chords on each degree ===
Celephaisian
Celephaisian
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=== Alterations ===
=== Alterations ===
=== Modulations ===
=== Modulations ===
[[Category:13edo]]
[[Category:Method]]
[[Category:Approaches to tuning systems]]
Retrieved from "https://en.xen.wiki/w/User:Inthar/13edo"