169/168: Difference between revisions

This interval has a name
13/12 and 14/13 are closer to neutral seconds than semitones. The other pair lacks representativeness, replaced with 21/13 and 13/8
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'''169/168''', the '''buzurgisma''' or the '''dhanvantarisma''' is a [[superparticular]] ratio measuring about 10.3 [[cent]]s. It is the difference between [[13/12]] and [[14/13]] semitones, and also between [[224/169]] and [[4/3]] perfect fourths.  
'''169/168''', the '''buzurgisma''' or the '''dhanvantarisma''' is a [[superparticular]] ratio measuring about 10.3 [[cent]]s. It is the difference between the neutral seconds of [[13/12]] and [[14/13]] as well as between the neutral sixths of [[21/13]] and [[13/8]].  


169/168 is tempered out in a 13-0-2-8 chord of [[19edo]], which is a symmetrical relative to itself - it is the same when inverted. Such a chord consists of a stack of [[16/13]] - [[13/12]] - [[16/13]], which also intertwines two 4/3s 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.
169/168 is tempered out in a 13-0-2-8 chord of [[19edo]], which is a symmetrical relative to itself - it is the same when inverted. Such a chord consists of a stack of [[16/13]] - [[13/12]] - [[16/13]], which also intertwines two 4/3s 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.


[[Category:Buzurgismic]]
[[Category:Buzurgismic]]