User:Jerdle/The Ocean

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 the ocean just sounds like a better name.

Some of these temperaments are already named (especially those with low depth), but those with higher depth are not.

Depth (d)	Name	EDO join	Comma
0	Father	3 & 5	16/15
1	Schismic	5 & 12	32805/32768
2	Dusk	19 & 64	[-26 15 1⟩
3	Midnight	26 & 33	[-37 22 1⟩
4	Abyss	33c & 40	[-48 29 1⟩
5	Hadal	40c & 47	[-59 36 1⟩
∞	7c	7c	2187/2048

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.