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]]. It represents every interval as a sequence of lefts/rights | ||
== Explanation == | == Explanation == | ||
All intervals are given a diatonic degree (e.g. [[3/2]] is a fifth), derived from their [[7edo]] [[patent val]] mapping. A basic (b) | All intervals are given a diatonic degree (e.g. [[3/2]] is a fifth), derived from their [[7edo]] [[patent val]] mapping. A basic (b) n-th is the simplest (via [[Tenney height]]) just n-th. For example: | ||
Basic unison = [[1/1]] | Basic unison = [[1/1]] | ||
Basic second = [[8/7]] | Basic second = [[8/7]] | ||
Basic third = [[5/4]] | Basic third = [[5/4]] | ||
Basic fourth = [[4/3]] | |||
Basic fifth = [[3/2]] | |||
Basic sixth = [[5/3]] | |||
Basic seventh = [[7/4]] | |||
Basic octave = [[2/1]] | |||
Revision as of 03:21, 19 July 2023
Lefts and rights notation (<>) is a notation for just intonation primarily developed by CompactStar. It represents every interval as a sequence of lefts/rights
Explanation
All intervals are given a diatonic degree (e.g. 3/2 is a fifth), derived from their 7edo patent val mapping. A basic (b) n-th is the simplest (via Tenney height) just n-th. For example:
Basic unison = 1/1
Basic second = 8/7
Basic third = 5/4
Basic fourth = 4/3
Basic fifth = 3/2
Basic sixth = 5/3
Basic seventh = 7/4
Basic octave = 2/1