User:Lhearne/Extra-Diatonic Intervals: Difference between revisions
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In Hunt's system when used in 41edo or JI diatonic interval arithmetic is conserved, but in other tunings it may not be, and Margo's system may not conserve diatonic interval arithmetic either. Both systems may be applied to arbitrary tunings, but the same intervals (defined, perhaps by a MOS scale) may not be given the same interval names across different tunings. | In Hunt's system when used in 41edo or JI diatonic interval arithmetic is conserved, but in other tunings it may not be, and Margo's system may not conserve diatonic interval arithmetic either. Both systems may be applied to arbitrary tunings, but the same intervals (defined, perhaps by a MOS scale) may not be given the same interval names across different tunings. | ||
<ul><li>[[User:PiotrGrochowski/Extra-Diatonic Intervals]] gives each 43edo interval a name, then maps each desired interval to a 43edo interval. [[User:PiotrGrochowski|PiotrGrochowski]] ([[Editor PiotrGrochowski|info]], [[User talk:PiotrGrochowski|talk]], [[Special:Contributions/PiotrGrochowski|contribs]] | <ul><li>[[User:PiotrGrochowski/Extra-Diatonic Intervals]] gives each 43edo interval a name, then maps each desired interval to a 43edo interval. [[User:PiotrGrochowski/Extra-Diatonic Intervals — 50edo]] does this with 50edo. It has a very amazingly excellent solution to the 5/4 and 81/64 problem: The 5/4 is named major third and this notation is split in half, while 81/64 is named high major third. 10/9 and 9/8 are both named major second. [[User:PiotrGrochowski|PiotrGrochowski]] ([[Editor PiotrGrochowski|info]], [[User talk:PiotrGrochowski|talk]], [[Special:Contributions/PiotrGrochowski|contribs]])</li></ul> | ||
=== Ups and Downs === | === Ups and Downs === | ||