Oneirotonic: Difference between revisions
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The names have been selected to avoid overloading diatonic chord names and symbols. | The names have been selected to avoid overloading diatonic chord names and symbols. | ||
=== Fifth-bounded triads === | === 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 | ||
| Line 204: | Line 208: | ||
!|Subtaphric (<code>subtph</code>) | !|Subtaphric (<code>subtph</code>) | ||
|| | || | ||
||0- | ||0-M2d-P5d | ||
|| | ||0-369-738 | ||
||0-400- | ||0-400-733 | ||
|- | |- | ||
!|Neutral (<code>neu</code>) | !|Neutral (<code>neu</code>) | ||
| Line 217: | Line 221: | ||
|| | || | ||
||0-d3d-P5d | ||0-d3d-P5d | ||
|| | ||0-369-738 | ||
||0-333- | ||0-333-733 | ||
|- | |- | ||
!|Simic (<code>sim</code>) | !|Simic (<code>sim</code>) | ||
| Line 242: | Line 246: | ||
!|18edo tuning | !|18edo tuning | ||
|- | |- | ||
!| | !|Tract-sus4 (<code>>sus4<</code>) | ||
|| | || | ||
||0-P3d-M4d | ||0-P3d-M4d | ||
| Line 248: | Line 252: | ||
||0-467-667 | ||0-467-667 | ||
|- | |- | ||
!| | !|Tract-major (<code>>maj<</code>) | ||
|| | || | ||
||0-M2d-M4d | ||0-M2d-M4d | ||
| Line 254: | Line 258: | ||
||0-400-667 | ||0-400-667 | ||
|- | |- | ||
!| | !|Tract-neutral (<code>>neu<</code>) | ||
||Splits the flat fifth in half. | ||Splits the flat fifth in half. | ||
||0-n2d-M4d | ||0-n2d-M4d | ||
| Line 260: | Line 264: | ||
||0-333-667 | ||0-333-667 | ||
|- | |- | ||
!| | !|Tract-minor (<code>>min<</code>) | ||
|| | || | ||
||0-m2d-M4d | ||0-m2d-M4d | ||
| Line 266: | Line 270: | ||
||0-267-667 | ||0-267-667 | ||
|- | |- | ||
!| | !|Tract-sus2 (<code>>sus2<</code>) | ||
|| | || | ||
||0-M1d-M4d | ||0-M1d-M4d | ||
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
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.
| 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 |
| 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
| 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.
