User:CompactStar/Ordinal interval notation: Difference between revisions
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'''Lefts and rights notation''' | '''Lefts and rights notation''' is a notation for [[just intonation]] primarily developed by [[User:CompactStar|CompactStar]]. It represents every just interval as a sequence of lefts/rights and a diatonic degree. | ||
== Explanation == | == Explanation == | ||
All intervals are given a diatonic degree, derived from their [[7edo]] [[patent val]] mapping. If k is a degree, the central k-th is the simplest (according to [[Tenney height]]) just ratio which is a k-th. For example, the central 3rd is [[5/4]], since it is the simplest 3rd, and the central 7th is [[7/4]], since it is the simplest 7th. The left k-th is the simplest k-th which is flatter than central, and the right k-th is the simplest k-th which is sharper than central. Central | All intervals are given a diatonic degree, derived from their [[7edo]] [[patent val]] mapping. If k is a degree, the central k-th is the simplest (according to [[Tenney height]]) just ratio which is a k-th. For example, the central 3rd is [[5/4]], since it is the simplest 3rd, and the central 7th is [[7/4]], since it is the simplest 7th. The left k-th is the simplest k-th which is flatter than central, and the right k-th is the simplest k-th which is sharper than central. Central, left and right are abbreviated as c, l, and r respectively. | ||
Revision as of 09:10, 19 July 2023
Lefts and rights notation is a notation for just intonation primarily developed by CompactStar. It represents every just interval as a sequence of lefts/rights and a diatonic degree.
Explanation
All intervals are given a diatonic degree, derived from their 7edo patent val mapping. If k is a degree, the central k-th is the simplest (according to Tenney height) just ratio which is a k-th. For example, the central 3rd is 5/4, since it is the simplest 3rd, and the central 7th is 7/4, since it is the simplest 7th. The left k-th is the simplest k-th which is flatter than central, and the right k-th is the simplest k-th which is sharper than central. Central, left and right are abbreviated as c, l, and r respectively.