Mystery: Difference between revisions
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| Title = Mystery | | Title = Mystery | ||
| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13 | | Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13 | ||
| Comma basis = [[5120/5103]], [[50421/50000]] ( | | Comma basis = [[5120/5103]], [[50421/50000]] (7-limit); <br>[[441/440]], [[896/891]], [[3388/3375]] (11-limit); <br>[[196/195]], [[352/351]], [[364/363]], [[676/675]] (13-limit) | ||
| | | Edo join 1 = 29 | Edo join 2 = 58 | ||
| Mapping = 29; 0 1 1 1 1 | | Mapping = 29; 0 1 1 1 1 | ||
| | | Generators = 5/4 | ||
| Generators tuning = 387.9 | |||
| | |||
| Optimization method = CWE | | Optimization method = CWE | ||
| MOS scales = [[29L 29s]], [[58L 29s]] | | MOS scales = [[29L 29s]], [[58L 29s]] | ||
| Pergen = (P8/29, ^1) | |||
| Color name = Quadsawati | |||
| Odd limit 1 = 9 | Mistuning 1 = 3.20 | Complexity 1 = 58 | | Odd limit 1 = 9 | Mistuning 1 = 3.20 | Complexity 1 = 58 | ||
| Odd limit 2 = | | Odd limit 2 = 13-limit 21 | Mistuning 2 = 4.69 | Complexity 2 = 58 | ||
}} | }} | ||
'''Mystery''' is a [[regular temperament]] which takes [[29edo|1\29]] [[period]] and adds a single [[generator]] to correct the [[harmonic]]s [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]] to almost just qualities. It [[tempering out|tempers out]] the [[29-comma]] in the 5-limit, [[5120/5103]] in the 7-limit, [[441/440]], [[896/891]], [[3388/3375]], and [[4000/3993]] in the 11-limit, [[196/195]], [[352/351]], [[364/363]], [[676/675]], and [[847/845]] in the 13-limit. | '''Mystery''' is a [[regular temperament]] which takes [[29edo|1\29]] [[period]] and adds a single [[generator]] to correct the [[harmonic]]s [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]] to almost just qualities. It [[tempering out|tempers out]] the [[29-comma]] in the 5-limit, [[5120/5103]] in the 7-limit, [[441/440]], [[896/891]], [[3388/3375]], and [[4000/3993]] in the 11-limit, [[196/195]], [[352/351]], [[364/363]], [[676/675]], and [[847/845]] in the 13-limit. | ||
See [[Hemifamity temperaments #Mystery]] for technical details. | See [[Hemifamity temperaments #Mystery]] for technical details. | ||
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{{Clear}} | |||
== Interval chain == | == Interval chain == | ||
In the following table, odd harmonics 1–21 are in '''bold'''. | In the following table, odd harmonics 1–21 are in '''bold'''. | ||
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<nowiki>*</nowiki> in 13-limit CWE tuning | <nowiki>*</nowiki> in 13-limit CWE tuning | ||
== Scales == | |||
* [[Mystery58]] | |||
== Tunings == | == Tunings == | ||
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[[Category:Mystery| ]] <!-- main article --> | [[Category:Mystery| ]] <!-- main article --> | ||
[[Category:Rank-2 temperaments]] | [[Category:Rank-2 temperaments]] | ||
[[Category: | [[Category:Aberschismic temperaments]] | ||