Oneirotonic: Difference between revisions

From Xenharmonic Reference
← Older edit
VisualWikitext
 
(29 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Problematic}}
'''Oneirotonic''' is the 5L3s [[MOS]] pattern LLsLLsLs. Its generator ranges from equalized [[8edo|3\8]] (450c) to collapsed 2\5 (480c) and the generator's basic tuning (L/s = 2/1) is [[13edo|5\13]] (461.5c). It is notable for being a compressed diatonic with one extra small step.
'''Oneirotonic''' is the 5L3s [[MOS]] pattern LLsLLsLs. Its generator ranges from equalized [[8edo|3\8]] (450c) to collapsed 2\5 (480c) and the generator's basic tuning (L/s = 2/1) is [[13edo|5\13]] (461.5c). It is notable for being a compressed diatonic with one extra small step.


Line 179: Line 177:
* 28edo (hardness 5/1) and harder support 2.3.7 Buzzard which equates four perfect 3-oneirosteps with a 3/1.
* 28edo (hardness 5/1) and harder support 2.3.7 Buzzard which equates four perfect 3-oneirosteps with a 3/1.
== Chords of oneirotonic ==
== Chords of oneirotonic ==
These chord names have been developed by [[User:ground|ground]] and [[User:Inthar|Inthar]].
{{proposed}}
{{col-begin}}
These chord names have been proposed by [[User:Ground|ground]] and [[User:Inthar|Inthar]].
{{col-break}}
The names have been selected to avoid overloading diatonic chord names and symbols.
=== Fifth-bounded triads ===
The word "tract" is used to denote compressions of diatonic chords, and symbolically, <code>>...<</code> is used to denote tract-diatonic chords.
 
First and second inversions of triads are denoted <code>triad₁</code> and <code>triad₂</code> in chord symbols, for example <code>>maj<₁</code> = the first inversion of the tract-major triad.
The word "tract" is used to denote compressions of diatonic chords.
{| class="wikitable"
{| class="wikitable"
|+ Perfect fifth (sharp fifth) bounded triads
|+ Perfect fifth (sharp fifth) bounded triads
|-
|-
!|Name (shorthand)
!|Name (notation)
!|Description
!|Description
!|In degrees (TAMNAMS)
!|In degrees (TAMNAMS)
Line 191: Line 194:
!|18edo tuning
!|18edo tuning
|-
|-
!|Supertaphric (suptaph)
!|Supertaphric (<code>suptph</code>)
||
||
||0-m4d-P5d
||0-m4d-P5d
Line 197: Line 200:
||0-533-733
||0-533-733
|-
|-
!|Taphric (taph)
!|Taphric (<code>tph</code>)
||
||From τάφρος "trench", because the fifth generators go down-up.
||0-P3d-P5d
||0-P3d-P5d
||0-462-738
||0-462-738
||0-467-733
||0-467-733
|-
|-
!|Subtaphric (subtaph)
!|Subtaphric (<code>subtph</code>)
||
||
||0-vP3d-P5d
||0-M2d-P5d
||
||0-369-738
||0-400-738
||0-400-733
|-
|-
!|Neutral (neu)
!|Neutral (<code>neu</code>)
||
||Splits the sharp fifth in half.
||
||
||0-369-738
||0-369-738
||
||
|-
|-
!|Suprasimic (supsim)
!|Suprasimic (<code>supsim</code>)
||
||
||0-^min2d-P5d
||0-d3d-P5d
||
||0-369-738
||0-333-738
||0-333-733
|-
|-
!|Simic (sim)
!|Simic (<code>sim</code>)
||
||From Modern Greek σημείο "point", because the fifth generators go up-down.
||0-min2d-P5d
||0-m2d-P5d
||0-277-738
||0-277-738
||0-267-733
||0-267-733
|-
|-
!|Subsimic (subsim)
!|Subsimic (<code>subsim</code>)
||
||
||0-M1d-P5d
||0-M1d-P5d
Line 233: Line 236:
||0-200-733
||0-200-733
|}
|}
{{col-break}}
 
{| class="wikitable"
{| class="wikitable"
|+ Major tritone (flat fifth) bounded triads
|+ Major tritone (flat fifth) bounded triads
|-
|-
!|Name (shorthand)
!|Name (notation)
!|Description
!|Description
!|In degrees (TAMNAMS)
!|In degrees (TAMNAMS)
Line 243: Line 246:
!|18edo tuning
!|18edo tuning
|-
|-
!|Sus4 compressed (sus4<)
!|Tract-sus4 (<code>>sus4<</code>)
||
||
||0-P3d-M4d
||0-P3d-M4d
Line 249: Line 252:
||0-467-667
||0-467-667
|-
|-
!|Major compressed (maj<)
!|Tract-major (<code>>maj<</code>)
||
||
||0-M2d-M4d
||0-M2d-M4d
Line 255: Line 258:
||0-400-667
||0-400-667
|-
|-
!|Neutral compressed (neu<)
!|Tract-neutral (<code>>neu<</code>)
||Splits the perfect fifth in half.
||Splits the flat fifth in half.
||0-n2d-M4d
||0-n2d-M4d
||
||
||0-333-667
||0-333-667
|-
|-
!|Minor compressed (min<)
!|Tract-minor (<code>>min<</code>)
||
||
||0-m2d-M4d
||0-m2d-M4d
Line 267: Line 270:
||0-267-667
||0-267-667
|-
|-
!|Sus2 compressed (sus2<)
!|Tract-sus2 (<code>>sus2<</code>)
||
||
||0-M1d-M4d
||0-M1d-M4d
Line 273: Line 276:
||0-200-667
||0-200-667
|}
|}
{{col-end}}
 
{{Cat|MOS patterns}}
{{Cat|MOS patterns}}
=== Other triads ===
{| class="wikitable"
|+ Other triads
|-
!|Name (notation)
!|Description
!|In degrees (TAMNAMS)
!|13edo tuning
!|18edo tuning
|-
!|Grammic (<code>grm</code>)
||From "line", since the generators form a line.
||0-P3-m6
||0-462-923
||0-467-933
|}
=== Notes ===
Taphric, simic, and grammic are all antipentic terms but otherwise do not reflect specific tuning ranges. Subtaphric/suprasimic/etc. chords in grammic form can just be called inversions the same way diatonic chords are. Grammic may also be known as sensic in checkertonic.

Latest revision as of 10:34, 14 February 2026

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

This page or section deals with proposed concepts. The terminology and concepts used in it are developed by one person or a small group and may lack widespread adoption.

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

Fifth-bounded triads

The word "tract" is used to denote compressions of diatonic chords, and symbolically, >...< is used to denote tract-diatonic chords.

First and second inversions of triads are denoted triad₁ and triad₂ in chord symbols, for example >maj<₁ = the first inversion of the tract-major triad. The word "tract" is used to denote compressions of diatonic chords.

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) From τάφρος "trench", because the fifth generators go down-up. 0-P3d-P5d 0-462-738 0-467-733
Subtaphric (subtph) 0-M2d-P5d 0-369-738 0-400-733
Neutral (neu) Splits the sharp fifth in half. 0-369-738
Suprasimic (supsim) 0-d3d-P5d 0-369-738 0-333-733
Simic (sim) From Modern Greek σημείο "point", because the fifth generators go up-down. 0-m2d-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
Tract-sus4 (>sus4<) 0-P3d-M4d 0-462-646 0-467-667
Tract-major (>maj<) 0-M2d-M4d 0-369-646 0-400-667
Tract-neutral (>neu<) Splits the flat fifth in half. 0-n2d-M4d 0-333-667
Tract-minor (>min<) 0-m2d-M4d 0-277-646 0-267-667
Tract-sus2 (>sus2<) 0-M1d-M4d 0-185-646 0-200-667

Other triads

Other triads
Name (notation) Description In degrees (TAMNAMS) 13edo tuning 18edo tuning
Grammic (grm) From "line", since the generators form a line. 0-P3-m6 0-462-923 0-467-933

Notes

Taphric, simic, and grammic are all antipentic terms but otherwise do not reflect specific tuning ranges. Subtaphric/suprasimic/etc. chords in grammic form can just be called inversions the same way diatonic chords are. Grammic may also be known as sensic in checkertonic.

Retrieved from "https://xenreference.com/wiki/index.php?title=Oneirotonic&oldid=3826"