User:Jerdle/The Ocean: Difference between revisions

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The name "ocean" is due to 7c supporting all of these temperaments. Think seven seas.
The name "ocean" is due to 7c supporting all of these temperaments. Think seven seas.


This is actually a temperament continuum, and equates Pythagorean chromatic semitones of 2187/2048 to a 16/15 classical diatonic semitone. However, the term "diatonic-chromatic temperament continuum" is taken.
This is actually an equivalence continuum, and equates Pythagorean chromatic semitones of 2187/2048 to a 16/15 classical diatonic semitone. However, the term "diatonic-chromatic equivalence continuum" is taken, so this is simply the ocean.

Revision as of 02:05, 30 June 2025

The ocean is a set of temperaments related to schismic in the same way deeptone relates to meantone.

More precisely, these temperaments equate 5/4 to a kind of fourth. There is a single parameter d such that 5/4 is equated to a d-fold diminished fourth.

The temperaments with small d are already named. 0 gets you father, 1 gets you schismic. And as d tends to infinity, this tends to 7c-edo, which is a tuning of all temperaments here.

The name "ocean" is due to 7c supporting all of these temperaments. Think seven seas.

This is actually an equivalence continuum, and equates Pythagorean chromatic semitones of 2187/2048 to a 16/15 classical diatonic semitone. However, the term "diatonic-chromatic equivalence continuum" is taken, so this is simply the ocean.