1789edo: Difference between revisions
→Other: added a new temperament |
|||
| Line 36: | Line 36: | ||
Since it has a very precise 31/29, it supports tricesimoprimal miracloid - a version of secor with 31/29 as the generator and a flat, meantone-esque fifth of about 692.23 cents. Using the maximal evennes method, we find a 52 & 1789 temperament. | Since it has a very precise 31/29, it supports tricesimoprimal miracloid - a version of secor with 31/29 as the generator and a flat, meantone-esque fifth of about 692.23 cents. Using the maximal evennes method, we find a 52 & 1789 temperament. | ||
1789edo supports the 2.9.5.11.13 subgroup temperament which Eliora proposes be called ''commatose'', and which uses the Pythagorean comma as a generator. It is defined as a 460 & 1789 temperament, and its comma basis is 62748517/62726400, 479773125/479756288, and 30530193408/30517578125. | |||
== Table of selected intervals == | == Table of selected intervals == | ||
| Line 201: | Line 203: | ||
! Cents<br>(reduced) | ! Cents<br>(reduced) | ||
! Associated<br>ratio | ! Associated<br>ratio | ||
! | ! Temperament | ||
|- | |||
|35\1789 | |||
|23.48 | |||
|531441/524288 | |||
|Commatose | |||
|- | |- | ||
|172\1789 | |172\1789 | ||