Oneirotonic

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 the characteristic of diatonic modes such as Phrygian and Locrian which have LLL prominently. 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 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)
• 31edo (hardness 5/2): A-Team tuning with an excellent 5/4. Approximates 13:17:19.
• 18edo (hardness 3/1): Minor 2-step is an excellent 7/6; 12edo whole tone. Practically optimal for 2.9.21 A-Team.
• 23edo (hardness 4/1): Supports A-Team with diminished 3-step = ~6/5.
• 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 prefix "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.

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.