169/168: Difference between revisions
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169/168, is a superparticular ratio measuring about 10.3 cents. It is the difference between 13/12 and 14/13 semitones, and also between 224/169 and 4/3 perfect fourths. | '''169/168''', is a [[superparticular]] ratio measuring about 10.3 cents. It is the difference between [[13/12]] and [[14/13]] semitones, and also between [[224/169]] and [[4/3]] perfect fourths. | ||
== Theory == | == Theory == | ||
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 | 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. | ||