Oneirotonic: Difference between revisions

From Xenharmonic Reference
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== Chords of oneirotonic ==
== Chords of oneirotonic ==
These chord names have been proposed by [[User:ground|ground]] and [[User:Inthar|Inthar]].
These chord names have been proposed by [[User:ground|ground]] and [[User:Inthar|Inthar]].
The names have been selected to avoid overloading diatonic chord names and symbols.
=== Fifth-bound triads ===
=== Fifth-bound triads ===
{{col-begin}}
{{col-begin}}
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!|18edo tuning
!|18edo tuning
|-
|-
!|Supertaphric (suptph)
!|Supertaphric (<code>suptph</code>)
||
||
||0-m4d-P5d
||0-m4d-P5d
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||0-533-733
||0-533-733
|-
|-
!|Taphric (tph)
!|Taphric (<code>tph</code>)
||
||
||0-P3d-P5d
||0-P3d-P5d
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||0-467-733
||0-467-733
|-
|-
!|Subtaphric (subtph)
!|Subtaphric (<code>subtph</code>)
||
||
||0-vP3d-P5d
||0-vP3d-P5d
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||0-400-738
||0-400-738
|-
|-
!|Neutral (neu)
!|Neutral (<code>neu</code>)
||Splits the sharp fifth in half.
||Splits the sharp fifth in half.
||0-2x3d-P5d
||0-2x3d-P5d
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||
||
|-
|-
!|Suprasimic (supsim)
!|Suprasimic (<code>supsim</code>)
||
||
||0-^min2d-P5d
||0-^min2d-P5d
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||0-333-738
||0-333-738
|-
|-
!|Simic (sim)
!|Simic (<code>sim</code>)
||
||
||0-min2d-P5d
||0-min2d-P5d
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||0-267-733
||0-267-733
|-
|-
!|Subsimic (subsim)
!|Subsimic (<code>subsim</code>)
||
||
||0-M1d-P5d
||0-M1d-P5d
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!|18edo tuning
!|18edo tuning
|-
|-
!|Sus4 compressed (>sus4<)
!|Sus4 compressed (<code>>sus4<</code>)
||
||
||0-P3d-M4d
||0-P3d-M4d
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||0-467-667
||0-467-667
|-
|-
!|Major compressed (>maj<)
!|Major compressed (<code>>maj<</code>)
||
||
||0-M2d-M4d
||0-M2d-M4d
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||0-400-667
||0-400-667
|-
|-
!|Neutral compressed (>neu<)
!|Neutral compressed (<code>>neu<</code>)
||Splits the flat fifth in half.
||Splits the flat fifth in half.
||0-n2d-M4d
||0-n2d-M4d
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||0-333-667
||0-333-667
|-
|-
!|Minor compressed (>min<)
!|Minor compressed (<code>>min<</code>)
||
||
||0-m2d-M4d
||0-m2d-M4d
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||0-267-667
||0-267-667
|-
|-
!|Sus2 compressed (>sus2<)
!|Sus2 compressed (<code>>sus2<</code>)
||
||
||0-M1d-M4d
||0-M1d-M4d

Revision as of 01:20, 27 January 2026

This is a problematic page or section. It lacks sufficient justification, content, or organization, and is subject to future overhaul or deletion.

Oneirotonic is the 5L3s MOS pattern LLsLLsLs. Its generator ranges from equalized 3\8 (450c) to collapsed 2\5 (480c) and the generator's basic tuning (L/s = 2/1) is 5\13 (461.5c). It is notable for being a compressed diatonic with one extra small step.

The basic idea of oneirotonic is sharpening the fifth beyond 5edo: the fifth becomes so sharp that two of them make a subminor/flat minor third and one more note is required to form a MOS.

Notation

This article uses KISS notation, where the Celephaisian mode is 123456781. Chroma up is denoted #, chroma down as b. Alternatively, there is ground's oneirotonic notation, which preserves the diatonic order of letter names when stacking fourths (with one extra nominal): BEADGCFX, again with the Celephaisian mode as ACBDFEGXA. Note that C and B are swapped, and F and E are also swapped.

Structural theory

In the all-natural Celephaisian mode, the generators are arranged in the order 3-6-1-4-7-2-5-8.

Modes

The mode names were originally given by Cryptic Ruse, but they have disavowed them since.

Mode name Gens up Pattern 1-step 2-step 3-step 4-step 5-step 6-step 7-step
Sarnathian 0 sLsLLsLL m m d m P m m
Hlanithian 1 sLLsLsLL m m P m P m m
Kadathian 2 sLLsLLsL m m P m P M m
Mnarian 3 LsLsLLsL M m P m P M m
Ultharian 4 LsLLsLsL M m P M P M m
Celephaisian 5 LsLLsLLs M m P M P M M
Ilarnekian 6 LLsLsLLs M M P M P M M
Dylathian 7 LLsLLsLs M M P M A M M

Modes of melodic Mnarian

The melodic Mnarian (LsLsLLLs ascending, LsLsLsLL descending) scale has an "LLL" and recreates that characteristic of diatonic. It's the unique binary MODMOS of oneirotonic that doesn't have consecutive s steps. The mode names of melodic Mnarian are portmanteaus of the oneirotonic mode and the diatonic mode the mode sounds most similar to.

Mode name Pattern 1-step 2-step 3-step 4-step 5-step 6-step 7-step
Sarlocrian sLsLsLLL m m d m d m m
Sardorian sLsLLLsL m m d m P M m
Mnaeolian LsLsLsLL M m P m P m m
Mnionian LsLsLLLs M m P m P M M
Ulphrygian sLLLsLsL m m P M P M m
Celdorian LsLLLsLs M m P M A M M
Ilarmixian LLsLsLsL M M P M P M m
Dylydian LLLsLsLs M M A M A M M

Notable tunings and tuning ranges

  • 37edo (hardness 5/4) to 29edo (hardness 4/3): support the 2.7/5.11/5.13/5 temperament Tridec/Ammonite where the generator is 13/10, the large step is 11/10, and the minor 4-step is 7/5.
  • 21edo (hardness 3/2)
  • 13edo (hardness 2/1)
  • 18edo (hardness 3/1): Minor 2-step is an excellent 7/6; 12edo whole tone.
  • 23edo (hardness 4/1)
  • 28edo (hardness 5/1) and harder support 2.3.7 Buzzard which equates four perfect 3-oneirosteps with a 3/1.

Chords of oneirotonic

These chord names have been proposed by ground and Inthar. The names have been selected to avoid overloading diatonic chord names and symbols.

Fifth-bound triads

Perfect fifth (sharp fifth) bounded triads
Name (notation) Description In degrees (TAMNAMS) 13edo tuning 18edo tuning
Supertaphric (suptph) 0-m4d-P5d 0-554-738 0-533-733
Taphric (tph) 0-P3d-P5d 0-462-738 0-467-733
Subtaphric (subtph) 0-vP3d-P5d 0-400-738
Neutral (neu) Splits the sharp fifth in half. 0-2x3d-P5d 0-369-738
Suprasimic (supsim) 0-^min2d-P5d 0-333-738
Simic (sim) 0-min2d-P5d 0-277-738 0-267-733
Subsimic (subsim) 0-M1d-P5d 0-185-738 0-200-733
Major tritone (flat fifth) bounded triads
Name (notation) Description In degrees (TAMNAMS) 13edo tuning 18edo tuning
Sus4 compressed (>sus4<) 0-P3d-M4d 0-462-646 0-467-667
Major compressed (>maj<) 0-M2d-M4d 0-369-646 0-400-667
Neutral compressed (>neu<) Splits the flat fifth in half. 0-n2d-M4d 0-333-667
Minor compressed (>min<) 0-m2d-M4d 0-277-646 0-267-667
Sus2 compressed (>sus2<) 0-M1d-M4d 0-185-646 0-200-667

Other triads