Dyadic chord: Difference between revisions
m →Anomalous saturated suspension: update (not really dead links, but not using https) |
→Anomalous saturated suspension: — avoid dubious names for example chords. (12:15:18:20 is probably not the only “just” added-sixth chord, and 12:14:18:21 doesn't seem to have any real connection to the “Swiss” meantone chord for which it was dubbed “Swiss tetrad”.) |
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An '''anomalous saturated suspension''' ('''ASS'''), introduced by [[Graham Breed]]<ref>[https://www.webcitation.org/60VBgPSUS ''Anomalous Saturated Suspensions'']</ref>, is a ''q''-odd-limit just dyadic chord to which no pitch ''q''-odd-limit pitch class can be added while keeping it in the ''q''-odd-limit, and which is neither an otonal or a utonal chord; that is, it is not contained as a subchord of either the 1:3:5:…:''q'' chord or the 1:1/3:1/5:…:1/q chord. The existence of such chords was discovered by [[Paul Erlich]]<ref>[https://www.webcitation.org/60VCUHe6d ''Anomalous Saturated Suspensions -- Paul Erlich's post'']</ref>. Below are listed two 9-odd-limit ASSes of special interest, as they avoid intervals smaller than a minor whole tone. | An '''anomalous saturated suspension''' ('''ASS'''), introduced by [[Graham Breed]]<ref>[https://www.webcitation.org/60VBgPSUS ''Anomalous Saturated Suspensions'']</ref>, is a ''q''-odd-limit just dyadic chord to which no pitch ''q''-odd-limit pitch class can be added while keeping it in the ''q''-odd-limit, and which is neither an otonal or a utonal chord; that is, it is not contained as a subchord of either the 1:3:5:…:''q'' chord or the 1:1/3:1/5:…:1/q chord. The existence of such chords was discovered by [[Paul Erlich]]<ref>[https://www.webcitation.org/60VCUHe6d ''Anomalous Saturated Suspensions -- Paul Erlich's post'']</ref>. Below are listed two 9-odd-limit ASSes of special interest, as they avoid intervals smaller than a minor whole tone. | ||
* [[ | * [[12:15:18:20]] | ||
* [[ | * [[12:14:18:21]] | ||
For a complete list of ASS chords through the 23-odd-limit see [[List of anomalous saturated suspensions]]. | For a complete list of ASS chords through the 23-odd-limit see [[List of anomalous saturated suspensions]]. | ||