Miracle: Difference between revisions
m Text replacement - "Prime-optimized" to "Norm-based" |
Added Infobox Regtemp |
||
| Line 1: | Line 1: | ||
[[de:Miracle]] | [[de:Miracle]] | ||
{{Infobox Regtemp | |||
| Title = Miracle | |||
| Subgroups = 2.3.5.7, 2.3.5.7.11 | |||
| Comma basis = [[225/224]], [[1029/1024]] (7-limit); <br /> [[225/224]], [[243/242]], [[385/384]] (11-limit) | |||
| Edo join 1 = 10 | Edo join 2 = 21 | |||
| Generator = 15/14 | Generator tuning = 116.7 | Optimization method = CTE | |||
| MOS scales = ..., [[1L 9s]], [[10L 1s]], [[10L 11s]], [[10L 21s]] | |||
| Mapping = 1; 6 -7 -2 15 | |||
| Pergen = (P8, P5/6) | |||
| Odd limit 1 = 7 | Mistuning 1 = ? | Complexity 1 = 31 | |||
| Odd limit 2 = (11-limit) 21 | Mistuning 2 = ? | Complexity 2 = 72 | |||
}} | |||
{{Wikipedia|Miracle temperament}} | {{Wikipedia|Miracle temperament}} | ||
'''Miracle''' is a [[regular temperament]] discovered by [[George Secor]] in 1974 which splits a tempered [[3/2]] into six [[generator]]s, called ''[[secor]]s'' (after George), that serve as both [[15/14]] and [[16/15]] semitones. A stack of two generators represents [[8/7]], and a stack of seven generators represents [[8/5]]. It is a member of both the [[marvel temperaments]], by [[tempering out]] [[225/224]], and the [[gamelismic clan]], by tempering out [[1029/1024]]. It extends naturally to the [[11-limit]] by treating the neutral third from three generators as [[11/9]], tempering out [[243/242]], [[385/384]], [[441/440]], and [[540/539]]. | '''Miracle''' is a [[regular temperament]] discovered by [[George Secor]] in 1974 which splits a tempered [[3/2]] into six [[generator]]s, called ''[[secor]]s'' (after George), that serve as both [[15/14]] and [[16/15]] semitones. A stack of two generators represents [[8/7]], and a stack of seven generators represents [[8/5]]. It is a member of both the [[marvel temperaments]], by [[tempering out]] [[225/224]], and the [[gamelismic clan]], by tempering out [[1029/1024]]. It extends naturally to the [[11-limit]] by treating the neutral third from three generators as [[11/9]], tempering out [[243/242]], [[385/384]], [[441/440]], and [[540/539]]. | ||