User:CompactStar/Ordinal interval notation: Difference between revisions

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'''Lefts and rights notation''' is a notation for [[just intonation]] primarily developed by [[User:CompactStar|CompactStar]].  
'''Lefts and rights notation''' is a notation for [[just intonation]] primarily developed by [[User:CompactStar|CompactStar]].  


== Explanation ==
== Defintion ==
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 direction with no lefts and rights is called "central" (C).
== Examples ==
Below are some examples of lefts and rights notation for [[11-odd-limit]] intervals:

Revision as of 08:32, 23 July 2023

Lefts and rights notation is a notation for just intonation primarily developed by CompactStar.

Defintion

All just intervals are indicated by a direction, which is a sequence of lefts and rights, and a degree. The direction with no lefts and rights is called "central" (C).

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