169/168: Difference between revisions

+etymology
Replace that chord with the more characteristic essentially tempered chords
Line 7: Line 7:
== Temperaments ==
== Temperaments ==
[[Tempering out]] this comma in the 13-limit gives the rank-5 '''buzurgismic''' or '''dhanvantarismic temperament'''. Tempering it out in the 2.3.7.13 [[subgroup]] gives the rank-3 '''buzurg''' or '''dhanvantari temperament'''. In such systems, 13/12 and 14/13 are equated, enabling [[buzurgismic chords|buzurgismic or dhanvantarismic chords]]. This is very comparable to tempering out of [[121/120]], which results in [[biyatismic]], in which [[11/10]] is equated with [[12/11]].  
[[Tempering out]] this comma in the 13-limit gives the rank-5 '''buzurgismic''' or '''dhanvantarismic temperament'''. Tempering it out in the 2.3.7.13 [[subgroup]] gives the rank-3 '''buzurg''' or '''dhanvantari temperament'''. In such systems, 13/12 and 14/13 are equated, enabling [[buzurgismic chords|buzurgismic or dhanvantarismic chords]]. This is very comparable to tempering out of [[121/120]], which results in [[biyatismic]], in which [[11/10]] is equated with [[12/11]].  
169/168 is tempered out in the 1-16/13-[[4/3]]-[[64/39]] chord, with the steps [[16/13]]-13/12-16/13-[[39/32]], which is symmetrical (it is the same when inverted). It intertwines two 4/3's between the 1st and 3rd, and 2nd and 4th notes. Tempering out 169/168 means that 14/13 can appear in this chord as well as 13/12.


== Etymology ==
== Etymology ==