Otonality and utonality: Difference between revisions

Rework (add the origin; use more tonality-neutral language)
No edit summary
 
Line 69: Line 69:
== Essentially tempered chords ==
== Essentially tempered chords ==


This kind of reduction can also be used to analyze [[Dyadic_chord|essentially tempered chords]]. Consider for example the [[sinbadmic tetrad]], which is the 1001/1000-tempering of 1-11/10-13/10-10/7. The reduction of the JI version of this chord is {25, 35, 77, 91}; discarding the lowest number, 25, and reducing again gives {5, 11, 13}. This tells us the chord can be analyzed as an otonbal 1-11/10-13/10 chord plus a 10/7 addition requiring essential tempering.ed
This kind of reduction can also be used to analyze [[Dyadic_chord|essentially tempered chords]]. Consider for example the [[sinbadmic tetrad]], which is the 1001/1000-tempering of 1-11/10-13/10-10/7. The reduction of the JI version of this chord is {25, 35, 77, 91}; discarding the lowest number, 25, and reducing again gives {5, 11, 13}. This tells us the chord can be analyzed as an otonbal 1-11/10-13/10 chord plus a 10/7 addition requiring essential tempering.


[[Category:Otonality and utonality| ]] <!-- main article -->
[[Category:Otonality and utonality| ]] <!-- main article -->
{{Todo|improve synopsis}}
{{Todo|improve synopsis}}