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 C
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 defined as the simplest (with respect to [[Tenney height]]) just k-th that is within 20 cents of (k-1)\7.
== 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:

Revision as of 08:25, 23 July 2023

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

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 defined as the simplest (with respect to Tenney height) just k-th that is within 20 cents of (k-1)\7.

Examples

Below are some examples of lefts and rights notation for 11-odd-limit intervals: