Seesaw: Difference between revisions
Created page with "{{Mathematical interest}} {{Infobox regtemp | Title = Seesaw | Subgroups = 2.3.5 | Comma basis = 6/5 | Edo join 1 = 1c | Edo join 2 = 2 | Mapping = 1; 1 1 | Generators = 3/2 | Generators tuning = 627.511 | Optimization method = CWE | MOS scales = 1L 1s, 2L 1s | Pergen = (P8, P5) | Odd limit 1 = 5 | Mistuning 1 = 157.8 | Complexity 1 = 2 | Odd limit 2 = 5-limit 25 | Mistuning 2 = 315.6 | Complexity 2 = 3 }} '''Seesaw''' is an exotemperament that temperin..." Tags: Mobile edit Mobile web edit |
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| MOS scales = [[1L 1s]], [[2L 1s]] | | MOS scales = [[1L 1s]], [[2L 1s]] | ||
| Pergen = (P8, P5) | | Pergen = (P8, P5) | ||
| Odd limit 1 = 5 | Mistuning 1 = | | Odd limit 1 = 5 | Mistuning 1 = 315.6 | Complexity 1 = 2 | ||
| Odd limit 2 = 5-limit | | Odd limit 2 = 5-limit 15 | Mistuning 2 = 315.6 | Complexity 2 = 3 | ||
| Odd limit 3 = 5-limit 25 | Mistuning 3 = 631.3 | Complexity 3 = 3 | |||
}} | }} | ||
'''Seesaw''' is an [[exotemperament]] that [[tempering out|tempers out]] 6/5, the classic minor third, setting the [[3/2|perfect fifth (3/2)]] equal to the [[5/4|classic major third (5/4)]]. This temperament is clearly not meant for melodic or harmonic use, and is far less accurate than more common archetypal exotemperaments like [[dicot]], doing something with such high damage as to | '''Seesaw''' is an [[exotemperament]] that [[tempering out|tempers out]] 6/5, the classic minor third, setting the [[3/2|perfect fifth (3/2)]] equal to the [[5/4|classic major third (5/4)]]. This temperament is clearly not meant for melodic or harmonic use, and is far less accurate than more common archetypal exotemperaments like [[dicot]], doing something with such high damage as to make primes 3 and 5 the same interval when [[octave reduced]]. It could, however, serve as a structural archetype to measure the otonality/utonality of an interval, with intervals mapped to more positive generator steps being more otonal, and intervals mapped to more negative generator steps being more utonal. It can be represented by only [[2edo]] in its [[patent val]]. | ||
For technical data see [[Very low accuracy temperaments #Seesaw]]. | For technical data see [[Very low accuracy temperaments #Seesaw]]. | ||