List of anomalous saturated suspensions: Difference between revisions

m FloraC moved page Anomalous saturated suspension to List of anomalous saturated suspensions: This isn't the page where the concept is defined
Rework intro
Line 1: Line 1:
Below is a complete list of [http://x31eq.com/ass.htm Anomalous Saturated Suspensions] through the 23-limit. Each chord listed is either [[Otonality and utonality|ambitonal]] or has a [[Otonality and utonality|o/utonal]] inverse that is also an '''Anomalous Saturated Suspension''' (or '''ASS''').
Below is a complete list of [[anomalous saturated suspension]]s through the [[23-odd-limit]]. Each chord listed is either [[Otonality and utonality|ambitonal]] or has a [[Otonality and utonality|o/utonal]] inverse that is also an anomalous saturated suspension.


==Formal names==
== Formal names ==
For each odd limit we can list ambitonal chords in lexicographic order by harmonic series representation, along with o/utonal chord pairs according to the harmonic series representation of the otonal chord in the pair. Each chord is then designated by a capital "A" whose subscript is a tuple, where the first value is its odd limit and the second value is its index in the list for that odd limit. This is followed by an "a," "o," or "u" depending on whether the chord is ambitonal, otonal, or utonal.
For each odd limit we can list ambitonal chords in lexicographic order by harmonic series representation, along with o/utonal chord pairs according to the harmonic series representation of the otonal chord in the pair. Each chord is then designated by a capital "A" whose subscript is a tuple, where the first value is its odd limit and the second value is its index in the list for that odd limit. This is followed by an "a," "o," or "u" depending on whether the chord is ambitonal, otonal, or utonal.


Line 211: Line 211:
|
|
|}
|}
== External links ==
* [http://x31eq.com/ass.htm Graham Breed's list]


[[Category:Chords]]
[[Category:Chords]]
[[Category:ASS]]
[[Category:ASS]]
[[Category:Todo:improve synopsis]]