User:Cmloegcmluin/AS: Difference between revisions

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break up wall of information into helpful sections that are consistent across all arithmetic tuning pages
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== Relationship to other tunings ==
== Relationship to other tunings ==


=== vs. 1D JI Lattice & equal multiplications ===
=== Vs. 1D JI Lattice & equal multiplications ===


It is equivalent to a 1-dimensional [[Harmonic_Lattice_Diagram|JI lattice]] of p. These are sequences which are rational but ambiguous between otonality and utonality, such as a chain of the same JI pitch. It is also equivalent to an [[Equal-step_tuning#Equal_multiplications|equal multiplication]] of a rational interval p.
It is equivalent to a 1-dimensional [[Harmonic_Lattice_Diagram|JI lattice]] of p. These are sequences which are rational but ambiguous between otonality and utonality, such as a chain of the same JI pitch. It is also equivalent to an [[Equal-step_tuning#Equal_multiplications|equal multiplication]] of a rational interval p.


=== vs. APS ===
=== Vs. APS ===


The only difference between an (n-)ASp and an [[APS|(n-)APSp (arithmetic pitch sequence)]] is that the p for an APS is irrational.
The only difference between an (n-)ASp and an [[APS|(n-)APSp (arithmetic pitch sequence)]] is that the p for an APS is irrational.