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. 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 oneirotonic
The melodic oneirotonic 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 oneirotonic 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.
