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 ==
== Explanation ==
Regular names corresponds to [[Pythagorean tuning]], e.g. [[32/27]] is a minor third. To name non-Pythagorean intervals, they are given the name of a nearby Pythagorean interval (see [[#Mapping non-Pythagorean intervals]]) then prefixed with a sequence of lefts and rights (abbreviated as < and > respectively).
Regular interval names corresponds to [[Pythagorean]] intervals, e.g. [[32/27]] is a minor third. To name non-Pythagorean intervals, they are given the name of a nearby Pythagorean interval (see [[#Mapping non-Pythagorean intervals]]), then prefixed with a sequence of lefts and rights (abbreviated as < and > respectively), known as the direction of the interval. Left and right have the following meaning (where X is any direction, and Y is a regular interval name):
* leftX
 
For example, [[5/4]]). Note that "leftright"


=== Mapping non-Pythagorean intervals ===
=== Mapping non-Pythagorean intervals ===

Revision as of 02:46, 20 July 2023

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

Explanation

Regular interval names corresponds to Pythagorean intervals, e.g. 32/27 is a minor third. To name non-Pythagorean intervals, they are given the name of a nearby Pythagorean interval (see #Mapping non-Pythagorean intervals), then prefixed with a sequence of lefts and rights (abbreviated as < and > respectively), known as the direction of the interval. Left and right have the following meaning (where X is any direction, and Y is a regular interval name):

  • leftX

For example, 5/4). Note that "leftright"

Mapping non-Pythagorean intervals