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

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{{breadcrumb|5L 3s}}
This page describes [[User:Inthar]]'s approach to [[5L 3s]] (aka oneirotonic).
This page describes [[User:Inthar]]'s approach to [[5L 3s]] (aka oneirotonic).


Now with new theory (thanks to tprice and Jaimbee)
Now with new theory (thanks in part to tprice and Jaimbee)


== Standing assumptions ==
== Standing assumptions ==
The Fox-Raven absolute pitch system is used in this article to name 5L 3s pitches: The notation used in this article is J Ultharian (LsLLsLsL) = JKLMNOPQJ, with reference pitch N = 261.6255653 Hz. I denote raising and lowering by a chroma (L − s) by # and b.
I'll use the [[TAMNAMS]] standard to denote oneirotonic intervals and degrees (independent of their absolute pitch).
I'll use the [[TAMNAMS]] standard to denote oneirotonic intervals and degrees (independent of their absolute pitch).


The chain of perfect 3-steps becomes: ... Pb Kb Nb Q L O J M P K N Q# L# O# ...
Todo: In the following, I will use the [[diamond-mos notation]] standard to discuss oneirotonic harmony. JKLMNOPQ will refer to the mode being discussed, if the mode is unaltered.
 
Thus the [[13edo]] gamut is as follows:
 
'''J/Q#''' J#/Kb '''K/Lb''' '''L/K#''' L#/Mb '''M''' M#/Nb '''N/Ob''' '''O/N#''' O#/Pb '''P''' '''Q''' Q#/Jb '''J'''
 
The [[18edo]] gamut is notated as follows:
 
'''J''' Q#/Kb J#/Lb '''K''' '''L''' K#/Mb L# '''M''' Nb M#/Ob '''N''' '''O''' Pb O# '''P''' '''Q''' P#/Jb Qb '''J'''
 
The [[21edo]] gamut:
 
'''J''' J# Kb '''K''' K#/Lb '''L''' L# Mb '''M''' M# Nb '''N''' N#/Ob '''O''' O# Pb '''P''' P#/Qb '''Q''' Q# Jb '''J'''


== Modes ==
== Modes ==
Line 26: Line 14:
{| class="wikitable"
{| class="wikitable"
|-
|-
| style="text-align:center;" | '''Mode'''
| style="text-align:center;" |'''Mode'''
| style="text-align:center;" | [[Modal UDP Notation|'''UDP''']]
| style="text-align:center;" |[[Modal UDP Notation|'''UDP''']]
| style="text-align:center;" | '''Name'''
| style="text-align:center;" |'''Name'''
|'''Former names'''
|-
|-
| | LLsLLsLs
| |LLsLLsLs
| style="text-align:center;" | 7|0
| style="text-align:center;" |<nowiki>7|0</nowiki>
| | Dylathian (də-LA(H)TH-iən)
| |Dylian
| |Dylathian
|-
|-
| | LLsLsLLs
| |LLsLsLLs
| style="text-align:center;" | 6|1
| style="text-align:center;" |<nowiki>6|1</nowiki>
| | Illarnekian (ill-ar-NEK-iən)
| |Ilarnekian
| |
|-
|-
| | LsLLsLLs
| |LsLLsLLs
| style="text-align:center;" | 5|2
| style="text-align:center;" |<nowiki>5|2</nowiki>
| | Celephaïsian (kel-ə-FAY-zhən)
| |Celephaïsian
| |
|-
|-
| | LsLLsLsL
| |LsLLsLsL
| style="text-align:center;" | 4|3
| style="text-align:center;" |<nowiki>4|3</nowiki>
| | Ultharian (ul-THA(I)R-iən)
| |Ultharian
| |
|-
|-
| | LsLsLLsL
| |LsLsLLsL
| style="text-align:center;" | 3|4
| style="text-align:center;" |<nowiki>3|4</nowiki>
| | Mnarian (mə-NA(I)R-iən)
| |Mnarian
| |
|-
|-
| | sLLsLLsL
| |sLLsLLsL
| style="text-align:center;" | 2|5
| style="text-align:center;" |<nowiki>2|5</nowiki>
| | Kadathian (kə-DA(H)TH-iən)
| |Kadian
| |Kadathian
|-
|-
| | sLLsLsLL
| |sLLsLsLL
| style="text-align:center;" | 1|6
| style="text-align:center;" |<nowiki>1|6</nowiki>
| | Hlanithian (lə-NITH-iən)
| |Hlanian
| |Hlanithian
|-
|-
| | sLsLLsLL
| |sLsLLsLL
| style="text-align:center;" | 0|7
| style="text-align:center;" |<nowiki>0|7</nowiki>
| | Sarnathian (sar-NA(H)TH-iən), can be shortened to "Sarn"
| |Sarnian
| |Sarnathian
|}
|}


=== Alterations ===
=== Alterations ===
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| | LLsLsLsL
| | LLsLsLsL
| style="text-align:center;" | 6|1 @8
| style="text-align:center;" | 6|1 @8
| | Illarmixian (Illarnekian b8)
| | Ilarmixian (Ilarnekian b8)
|-
|-
| | LsLLLsLs
| | LsLLLsLs
Line 111: Line 107:
# SLLLSLSL is Ulphrygian
# SLLLSLSL is Ulphrygian
# LLLSLSLS is Dylydian
# LLLSLSLS is Dylydian
# LLSLSLSL is Illarmixian
# LLSLSLSL is Ilarmixian
# LSLSLSLL is Mnaeolian
# LSLSLSLL is Mnaeolian
# SLSLSLLL is Sarlocrian
# SLSLSLLL is Sarlocrian
Line 155: Line 151:
== Samples ==
== Samples ==
=== Modal studies ===
=== Modal studies ===
[[File:Inthar-13edo Oneirotonic Studies 1 Dylathian.mp3|thumb|center|Dylathian study]]
[[Category:Oneirotonic]]
[[Category:13edo]]
[[Category:18edo]]
[[Category:21edo]]
[[Category:Method]]
[[Category:Approaches to tuning systems]]
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