Antonian: Difference between revisions
Created page with "{{Mathematical interest}} {{Infobox regtemp | Title = Antonian | Subgroups = 2.3.5, 2.3.5.7 | Comma basis = 10/9 (5-limit)<br>10/9, 15/14 (7-limit) | Edo join 1 = 2c(d) | Edo join 2 = 3(d) | Mapping = 1; 1 2 3 | Generators = 3/2 | Generators tuning = 743.086 | Optimization method = CWE | MOS scales = 1L 1s, 2L 1s, 3L 2s | Pergen = (P8, P5) | Odd limit 1 = 5 | Mistuning 1 = 91.2 | Complexity 1 = 3 | Odd limit 2 = 7 | Mistuning 2 = 161.4 | Complexity 2..." Tags: Mobile edit Mobile web edit |
No edit summary Tags: Mobile edit Mobile web edit |
||
| Line 14: | Line 14: | ||
'''Antonian''' is an [[exotemperament]] that [[tempering out|tempers out]] 10/9, the classic major second, setting the [[3/2|perfect fifth (3/2)]] equal to the [[5/3|classic major sixth (5/3)]]. This temperament is less accurate than more common archetypal exotemperaments like [[father]] or [[dicot]], doing something with such high damage as to make 3/2 and 5/3, [[4/3]] and [[6/5]], or [[5/4]] and [[9/8]] the same interval. It can be represented by only [[3edo]] in its [[patent val]]. | '''Antonian''' is an [[exotemperament]] that [[tempering out|tempers out]] 10/9, the classic major second, setting the [[3/2|perfect fifth (3/2)]] equal to the [[5/3|classic major sixth (5/3)]]. This temperament is less accurate than more common archetypal exotemperaments like [[father]] or [[dicot]], doing something with such high damage as to make 3/2 and 5/3, [[4/3]] and [[6/5]], or [[5/4]] and [[9/8]] the same interval. It can be represented by only [[3edo]] in its [[patent val]]. | ||
For technical data see [[Very low accuracy temperaments #Antonian]]. | |||
== Extensions == | |||
There are some extensions of antonian, including septimal antonian ({{nowrap|2cd & 3d}}), antonym ({{nowrap|2cd & 3}}), antony ({{nowrap|2c & 3d}}), and phlegyas ({{nowrap|2c & 3}}). | |||
In the septimal antonian, [[7/6]] is equated to 5/4 and 9/8, by tempering out [[15/14]] and [[28/27]]. Antonym tempers out [[7/6]] and [[21/20]]. Antony tempers out [[8/7]] and [[36/35]]. Phlegyas tempers out [[35/32]] and [[64/63]]. | |||
[[Category:Antonian| ]] <!-- main article --> | [[Category:Antonian| ]] <!-- main article --> | ||
[[Category:Rank-2 temperaments]] | [[Category:Rank-2 temperaments]] | ||
[[Category:Exotemperaments]] | [[Category:Exotemperaments]] | ||