Dicot family: Difference between revisions
Use Template: Redirect |
Expanded overview to extensions |
||
| Line 32: | Line 32: | ||
=== Overview to extensions === | === Overview to extensions === | ||
The dicot comma, 25/24, factors into the 7-limit as ([[49/48]])([[50/49]]). Since [[49/48]] is the difference between [[8/7]] and [[7/6]], and [[50/49]] is the difference between [[7/5]] and [[10/7]], it makes the most sense to temper out both of them, leading to decimal. In the 11-limit, we have the identity 25/24=([[45/44]])([[55/54]]), but also 50/49=([[99/98]])([[100/99]]), so it makes sense to temper out all of them. That interestingly leads to a rank-1 temperament, the 14c val of [[14edo]]. However, since dicot is an exotemperament anyway, the other extensions should also be considered. | |||
The second comma of the [[normal lists|normal comma list]] defines which [[7-limit]] family member we are looking at. Septimal dicot adds [[36/35]], flattie adds [[21/20]], sharpie adds [[28/27]], and dichotic adds [[64/63]], all retaining the same period and generator. | The second comma of the [[normal lists|normal comma list]] defines which [[7-limit]] family member we are looking at. Septimal dicot adds [[36/35]], flattie adds [[21/20]], sharpie adds [[28/27]], and dichotic adds [[64/63]], all retaining the same period and generator. | ||