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List of anomalous saturated suspensions: Difference between revisions

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Below is a complete list of [http://x31eq.com/ass.htm Anomalous Saturated Suspensions] through the 23-limit. Each chord listed is either ambitonal or has a [[Otonality_and_utonality|o/utonal]] inverse that is also an ASS.
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 ASS.


==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.


{| class="wikitable"
{| class="wikitable"
|-
|-
| style="text-align:center;" | '''Formal Name'''
! | Formal name
| style="text-align:center;" | '''Odd Limit'''
! | Odd limit
| style="text-align:center;" | '''Harmonic Series'''
! | Harmonic series
| style="text-align:center;" | '''Scale'''
! | Scale
| style="text-align:center;" | '''Common Name'''
! | Common name
|-
|-
| | '''A'''<span style="vertical-align: sub;">{9,1a}</span>
| | '''A'''<span style="vertical-align: sub;">{9,1a}</span>
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|}
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[[category:todo:add definition]]
[[category:chord]]
[[category:ass]]
Retrieved from "https://en.xen.wiki/w/List_of_anomalous_saturated_suspensions"