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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 ==
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| |LLsLsLLs
| |LLsLsLLs
| style="text-align:center;" |<nowiki>6|1</nowiki>
| style="text-align:center;" |<nowiki>6|1</nowiki>
| |Illarnekian
| |Ilarnekian
| |
| |
|-
|-
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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
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# 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
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=== Modal studies ===
=== Modal studies ===
[[File:Inthar-13edo Oneirotonic Studies 1 Dylathian.mp3|thumb|center|Dylathian study]]
[[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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