User:CompactStar/Ordinal interval notation: Difference between revisions
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== Explanation == | == Explanation == | ||
All just intervals are indicated by a direction, which is a sequence of lefts and rights, and a degree. The degree is calculated by adding 1 to the [[7edo]] [[patent val]] [[mapping]] of a ratio. The "default" direction, with no lefts or rights is central (C). If k is a degree, the central k-th is formally defined as the simplest (with respect to [[Tenney height]]) just k-th that is within 20 cents of (k-1)\7. Central intervals are usually perfect or neutral intervals, although in the case of central seconds and sevenths they are [[equable heptatonic]]. | All just intervals are indicated by a direction, which is a sequence of lefts and rights, and a degree. The degree is calculated by adding 1 to the [[7edo]] [[patent val]] [[mapping]] of a ratio. The "default" direction, with no lefts or rights, is central (C). If k is a degree, the central k-th is formally defined as the simplest (with respect to [[Tenney height]]) just k-th that is within 20 cents of (k-1)\7. Central intervals are usually perfect or neutral intervals, although in the case of central seconds and sevenths they are [[equable heptatonic]]. | ||
== Examples == | == Examples == | ||
Below are some examples of lefts and rights notation for [[11-odd-limit]] intervals: | Below are some examples of lefts and rights notation for [[11-odd-limit]] intervals: |