Mystery: Difference between revisions

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| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13

| 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 = 58 | Edo join 2 = 87

| Edo join 1 = 29 | Edo join 2 = 58

| Mapping = 29; 0 1 1 1 1

| ~~Generator~~ = 5/4

| Generators = 5/4

| ~~Generator~~ tuning = 387.9

| Generators tuning = 387.9

| Optimization method = CWE

| MOS scales = [[29L 29s]], [[58L 29s]]

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| Color name = Quadsawati

| Odd limit 1 = 9 | Mistuning 1 = 3.20 | Complexity 1 = 58

| Odd limit 2 = (13-limit) 21 | Mistuning 2 = 4.69 | Complexity 2 = 58

| 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.

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|}

<nowiki>*</nowiki> in 13-limit CWE tuning

== Scales ==

* [[Mystery58]]

== Tunings ==

@@ Line 3: / Line 3: @@
 | Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
 | 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 = 58 | Edo join 2 = 87
+| Edo join 1 = 29 | Edo join 2 = 58
 | Mapping = 29; 0 1 1 1 1
-| Generator = 5/4
+| Generators = 5/4
-| Generator tuning = 387.9
+| Generators tuning = 387.9
 | Optimization method = CWE
 | MOS scales = [[29L&nbsp;29s]], [[58L&nbsp;29s]]
@@ Line 12: / Line 12: @@
 | Color name = Quadsawati
 | Odd limit 1 = 9 | Mistuning 1 = 3.20 | Complexity 1 = 58
-| Odd limit 2 = (13-limit) 21 | Mistuning 2 = 4.69 | Complexity 2 = 58
+| 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.
@@ Line 213: / Line 213: @@
 |}
 <nowiki>*</nowiki> in 13-limit CWE tuning
+== Scales ==
+* [[Mystery58]]
 == Tunings ==