Oneirotonic

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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. 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

Modes

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