User:Jerdle/The Ocean
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The ocean is a group of temperaments related to schismic in the same way deeptone and mavila relate to meantone.
While mavila, meantone and deeptone equate 5/4 to a third, ocean temperaments equate it to a (usually diminished) fourth. The number of times the fourth must be diminished to get to ~5/4 is known as the depth of the temperament.
As such, this is an equivalence continuum. The natural name for it would be something like diatonic-chromatic, due to its equating a certain number of 2187/2048 Pythagorean chromatic semitones to a 16/15 pental diatonic semitone, but that is already taken by the father-3 equivalence continuum. It could be apotome-diatonic, but, as all of these temperaments are supported by 7c, the term "ocean" works.
Some of these temperaments are already named (especially those with low depth), but those with higher depth are not. As such, a series of names based on ocean stratification has been chosen.
| Depth (d) | Name | EDO join | Comma | Temperament with similar generator size |
|---|---|---|---|---|
| 0 | Father | 3 & 5 | 16/15 | |
| 1 | Schismic | 5 & 12 | 32805/32768 | |
| 2 | Meso | 19 & 64 | [-26 15 1⟩ | Flattone |
| 3 | Bathy | 26 & 33 | [-37 22 1⟩ | Flattertone |
| 4 | Abyss | 33c & 40 | [-48 29 1⟩ | Deeptone |
| 5 | Hadal | 40c & 47 | [-59 36 1⟩ | |
| … | … | … | … | |
| ∞ | Whitewood | 7c | 2187/2048 |
Beyond hadal, there are no more patent vals (the next temperament being the vaguely ridiculous 47cc & 54b). As such, it is a natural place to stop.
While, with positive depth, the fifth gets flatter and flatter, with negative depth, it gets sharper and sharper, converging to 4\7 in each case. I could use atmosphere names here, but really those seem like they'd be better for an alternative to superpyth rather than to mavila.