User:Jerdle/The Ocean: Difference between revisions
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{{Editable user page|This is in userspace because it is incomplete and somewhat idiosyncratic. It is missing technical data and is probably formatted in a nonstandard way.}} | |||
'''The ocean''' is a group of temperaments related to [[schismic]] in the same way [[deeptone]] and [[mavila]] relate to [[meantone]]. | '''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. | 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 | 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. | 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. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
| Line 12: | Line 14: | ||
!EDO join | !EDO join | ||
!Comma | !Comma | ||
!Temperament with similar generator size | |||
|- | |- | ||
|0 | |0 | ||
| Line 17: | Line 20: | ||
|3 & 5 | |3 & 5 | ||
|[[16/15]] | |[[16/15]] | ||
| | |||
|- | |- | ||
|1 | |1 | ||
| Line 22: | Line 26: | ||
|5 & 12 | |5 & 12 | ||
|[[32805/32768]] | |[[32805/32768]] | ||
| | |||
|- | |- | ||
|2 | |2 | ||
| | |Meso | ||
|19 & 64 | |19 & 64 | ||
|{{monzo| -26 15 1 }} | |{{monzo| -26 15 1 }} | ||
|[[Flattone]] | |||
|- | |- | ||
|3 | |3 | ||
| | |Bathy | ||
|26 & 33 | |26 & 33 | ||
|{{monzo| -37 22 1 }} | |{{monzo| -37 22 1 }} | ||
|[[Flattertone]] | |||
|- | |- | ||
|4 | |4 | ||
| Line 37: | Line 44: | ||
|33c & 40 | |33c & 40 | ||
|{{monzo| -48 29 1 }} | |{{monzo| -48 29 1 }} | ||
| rowspan="2" |[[Deeptone]] | |||
|- | |- | ||
|5 | |5 | ||
| Line 42: | Line 50: | ||
|40c & 47 | |40c & 47 | ||
|{{monzo| -59 36 1 }} | |{{monzo| -59 36 1 }} | ||
|- | |||
|… | |||
|… | |||
|… | |||
|… | |||
| | |||
|- | |- | ||
|∞ | |∞ | ||
|[[ | |[[Whitewood]] | ||
|7c | |7c | ||
|[[2187/2048]] | |[[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. | 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. | |||
[[Category:Equivalence continua]] | |||