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) nth is the simplest (via [[Tenney height]]) just interval that is an nth. For example:
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]]