Augmented (temperament): Difference between revisions
→Tunings: + 5-limit norm-based tunings |
change infobox odd limits |
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| Pergen = (P8/3, P5) | | Pergen = (P8/3, P5) | ||
| Odd limit 1 = 7 | Mistuning 1 = 13.7 | Complexity 1 = 12 | | Odd limit 1 = 7 | Mistuning 1 = 13.7 | Complexity 1 = 12 | ||
| Odd limit 2 = | | Odd limit 2 = 11 | Mistuning 2 = 22.4 | Complexity 2 = 15 | ||
}} | }} | ||
'''Augmented''' is a [[regular temperament|temperament]] that sets [[5/4]] to one third of an [[2/1|octave]], [[tempering out]] the diesis, [[128/125]], and has a [[generator]] of a [[3/2|perfect fifth]]. The fifth can be tuned to [[12edo]], but a sharper tuning is often perferred for it to blend with the sharp 5/4. This gives rise to the natural [[7-limit]] [[extension]] (known as '''augene''') that tempers out [[64/63]] and [[126/125]], where the whole tone stands in for [[8/7]][[~]][[9/8]]. | '''Augmented''' is a [[regular temperament|temperament]] that sets [[5/4]] to one third of an [[2/1|octave]], [[tempering out]] the diesis, [[128/125]], and has a [[generator]] of a [[3/2|perfect fifth]]. The fifth can be tuned to [[12edo]], but a sharper tuning is often perferred for it to blend with the sharp 5/4. This gives rise to the natural [[7-limit]] [[extension]] (known as '''augene''') that tempers out [[64/63]] and [[126/125]], where the whole tone stands in for [[8/7]][[~]][[9/8]]. | ||