Antonian: Difference between revisions
m match style with other pages |
better language (don't exaggerate as much as in bixby) |
||
| Line 12: | Line 12: | ||
| Odd limit 2 = 7 | Mistuning 2 = 161.4 | Complexity 2 = 5 | | Odd limit 2 = 7 | Mistuning 2 = 161.4 | Complexity 2 = 5 | ||
}} | }} | ||
'''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 | '''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 equates 3/2 with 5/3, [[4/3]] with [[6/5]], and [[5/4]] with [[9/8]], being even less accurate than more common archetypal exotemperaments like [[father]] or [[dicot]]. It can be represented by only [[3edo]] in its [[patent val]]. | ||
For technical data see [[Very low accuracy temperaments #Antonian]]. | For technical data see [[Very low accuracy temperaments #Antonian]]. | ||
Latest revision as of 23:03, 2 March 2026
|
This page presents a topic of primarily mathematical interest.
While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown. |
| Antonian |
10/9, 15/14 (7-limit)
7-odd-limit: 161.4 ¢
7-odd-limit: 5 notes
Antonian is an exotemperament that tempers out 10/9, the classic major second, setting the perfect fifth (3/2) equal to the classic major sixth (5/3). This temperament equates 3/2 with 5/3, 4/3 with 6/5, and 5/4 with 9/8, being even less accurate than more common archetypal exotemperaments like father or dicot. 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 (2cd & 3d), antonym (2cd & 3), antony (2c & 3d), and phlegyas (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.