Ennealimmal: Difference between revisions

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{{Infobox regtemp

| Title = Ennealimmal

'''Ennealimmal ~~temperament~~''' is a [[regular temperament]] with a period of {{frac|1|9}} octave and tempers out [[2401/2400]] and [[4375/4374]]. Edos that support ennealimmal include {{EDOs| 27, 45, 72, 99, 171, 270, 441, and 612 }}.

| Subgroups = 2.3.5.7

| Comma basis = [[2401/2400]], [[4375/4374]]

| Edo join 1 = 27 | Edo join 2 = 45

| Mapping = 9; 2 3 2

| Generators = 5/3 | Generators tuning = 884.322 | Optimization method = CWE

| MOS scales = [[18L 9s]], [[27L 18s]], [[27L 45s]]

| Pergen = (P8/9, P5/2)

| Odd limit 1 = 9 | Mistuning 1 = 0.204 | Complexity 1 = 45

| Odd limit 2 = 7-limit 81 | Mistuning 2 = 0.408 | Complexity 2 = 99

}}

'''Ennealimmal''' is a [[regular temperament|temperament]] with a period of {{frac|1|9}} octave and tempers out [[2401/2400]] and [[4375/4374]]. Edos that support ennealimmal include {{EDOs| 27, 45, 72, 99, 171, 270, 441, and 612 }}.

See [[Septiennealimmal clan #Ennealimmal]] for technical data.

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Ennealimmal extends less well to the [[11-limit]]. Extensions include enneabiotic (99e & 270), ennealympic (171 & 270), ennealimnic (72 & 99e), and ennealiminal (72 & 171e).

See [[Ennealimmal extensions]] for a discussion on 11-limit extensions.

== Interval chain ==

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<nowiki>*</nowiki> In 7-limit CWE tuning, octave reduced

~~== Ennealimmal extensions ==~~

~~Ennealimmal temperament has various extensions to the 11-limit. These are all members of the ennealimmal family, but in addition they are linear temperaments:~~

* Ennealimmal (99e & 270) – tempering out 2401/2400, 4375/4374, 5632/5625

* Ennealimmia (171 & 270) – tempering out 2401/2400, 4375/4374, 131072/130977

* Ennealimnic (72 & 99e) – tempering out 243/242, 441/440, 4375/4356

* Ennealiminal (72 & 171e) – tempering out 385/384, 1375/1372, 4375/4374

== Scales ==

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[[Category:Ennealimmal| ]]

[[Category:Rank-2 temperaments]]

[[Category:Microtemperaments]]

[[Category:Breedsmic temperaments]]

[[Category:Ragismic microtemperaments]]

[[Category:Landscape microtemperaments]]

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-{{URWTC}}
+{{Infobox regtemp
+| Title = Ennealimmal
-'''Ennealimmal temperament''' is a [[regular temperament]] with a period of {{frac|1|9}} octave and tempers out [[2401/2400]] and [[4375/4374]]. Edos that support ennealimmal include {{EDOs| 27, 45, 72, 99, 171, 270, 441, and 612 }}.
+| Subgroups = 2.3.5.7
+| Comma basis = [[2401/2400]], [[4375/4374]]
+| Edo join 1 = 27 | Edo join 2 = 45
+| Mapping = 9; 2 3 2
+| Generators = 5/3 | Generators tuning = 884.322 | Optimization method = CWE
+| MOS scales = [[18L 9s]], [[27L 18s]], [[27L 45s]]
+| Pergen = (P8/9, P5/2)
+| Odd limit 1 = 9 | Mistuning 1 = 0.204 | Complexity 1 = 45
+| Odd limit 2 = 7-limit 81 | Mistuning 2 = 0.408 | Complexity 2 = 99
+}}
+'''Ennealimmal''' is a [[regular temperament|temperament]] with a period of {{frac|1|9}} octave and tempers out [[2401/2400]] and [[4375/4374]]. Edos that support ennealimmal include {{EDOs| 27, 45, 72, 99, 171, 270, 441, and 612 }}.
 See [[Septiennealimmal clan #Ennealimmal]] for technical data.
@@ Line 23: / Line 33: @@
 | 5 || 2 || 53.333 || 45
 |}
+Ennealimmal extends less well to the [[11-limit]]. Extensions include enneabiotic (99e & 270), ennealympic (171 & 270), ennealimnic (72 & 99e), and ennealiminal (72 & 171e).
+See [[Ennealimmal extensions]] for a discussion on 11-limit extensions.
 == Interval chain ==
@@ Line 144: / Line 158: @@
 |}
 <nowiki>*</nowiki> In 7-limit CWE tuning, octave reduced
-== Ennealimmal extensions ==
-Ennealimmal temperament has various extensions to the 11-limit. These are all members of the ennealimmal family, but in addition they are linear temperaments:
-* Ennealimmal (99e &amp; 270) &ndash; tempering out 2401/2400, 4375/4374, 5632/5625
-* Ennealimmia (171 &amp; 270) &ndash; tempering out 2401/2400, 4375/4374, 131072/130977
-* Ennealimnic (72 &amp; 99e) &ndash; tempering out 243/242, 441/440, 4375/4356
-* Ennealiminal (72 &amp; 171e) &ndash; tempering out 385/384, 1375/1372, 4375/4374
 == Scales ==
@@ Line 166: / Line 173: @@
 [[Category:Ennealimmal| ]] <!-- main article -->
 [[Category:Rank-2 temperaments]]
+[[Category:Microtemperaments]]
 [[Category:Breedsmic temperaments]]
 [[Category:Ragismic microtemperaments]]
 [[Category:Landscape microtemperaments]]