2.5.7 subgroup: Difference between revisions

Regular temperaments: use TE error like other pages. Remove "birds" as a section title (questionable relevance)
Overthink (talk | contribs)
Scales: proper todo
 
(One intermediate revision by one other user not shown)
Line 10: Line 10:


In [[color notation]], this subgroup may be called '''yaza nowa''', which means that it is the intersection of 2.3.5 and 2.3.7 ("yaza"), but without 3 ("nowa").  
In [[color notation]], this subgroup may be called '''yaza nowa''', which means that it is the intersection of 2.3.5 and 2.3.7 ("yaza"), but without 3 ("nowa").  
== Chords and harmony ==
The fundamental consonances of this subgroup may be taken to be [[4:7:10]] and [[14:20:35]]. The otonal chord is [[DR]] and the utonal chord is the inverse of the otonal chord, similar to [[4:5:6]] and [[10:12:15]] in the [[5-limit]]. They are bounded by [[5/2]] and the middle voices contrast by [[49/40]].
4:7:10 may be extended to [[4:7:10:13]], preserving the DR property and implying adding prime [[13/1|13]] to this subgroup.


== Properties ==
== Properties ==
Line 15: Line 20:


=== Scales ===
=== Scales ===
{{Todo|expand|inline=1}}
{{Todo|complete section|inline=1}}


== Regular temperaments ==
== Regular temperaments ==