Rodan: Difference between revisions

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{{Infobox Regtemp

| Title = Rodan

| Subgroups = 2.3.5.7, 2.3.5.7.11

| Comma basis = [[245/243]], [[1029/1024]] (7-limit); <br> [[245/243]], [[385/384]], [[441/440]] (11-limit)

| Edo join 1 = 41 | Edo join 2 = 46

| Generator = 8/7 | Generator tuning = 234.4 | Optimization method = POTE

| MOS scales = [[1L 4s]], [[5L 1s]], [[5L 6s]], ... [[5L 36s]], [[41L 5s]]

| Mapping = 1; 3 17 -1 -13

| Pergen = (P8, P5/3)

| Odd limit 1 = 9 | Mistuning 1 = ? | Complexity 1 = 41

| Odd limit 2 = (2.3.5.7.11) 21 | Mistuning 2 = ? | Complexity 2 = 87

}}

'''Rodan''' is one of the notable [[extension]]s of the [[slendric]] [[regular temperament|temperament]], which divides [[3/2]] into three equal intervals representing [[8/7]] ([[tempering out]] the gamelisma, [[1029/1024]]), reaching the full [[7-limit]] such that 17 of these [[generators]] [[stacking|stack]] to reach the interval class of the [[5/1|5th harmonic]]. It tempers out [[245/243]], making it a [[sensamagic clan|sensamagic temperament]], so that [[5/3]] is divided into two intervals of [[9/7]]; and it tempers out [[5120/5103]], making it also a [[hemifamity temperaments|hemifamity temperament]], so that [[9/8]] stacks thrice into [[10/7]].

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<nowiki/>* In 13-limit ~~POTE~~ tuning

<nowiki/>* In 11-limit CWE tuning

== Notation ==

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+{{Infobox Regtemp
+| Title = Rodan
+| Subgroups = 2.3.5.7, 2.3.5.7.11
+| Comma basis = [[245/243]], [[1029/1024]] (7-limit); <br> [[245/243]], [[385/384]], [[441/440]] (11-limit)
+| Edo join 1 = 41 | Edo join 2 = 46
+| Generator = 8/7 | Generator tuning = 234.4 | Optimization method = POTE
+| MOS scales = [[1L 4s]], [[5L 1s]], [[5L 6s]], ... [[5L 36s]], [[41L 5s]]
+| Mapping = 1; 3 17 -1 -13
+| Pergen = (P8, P5/3)
+| Odd limit 1 = 9 | Mistuning 1 = ? | Complexity 1 = 41
+| Odd limit 2 = (2.3.5.7.11) 21 | Mistuning 2 = ? | Complexity 2 = 87
+}}
 '''Rodan''' is one of the notable [[extension]]s of the [[slendric]] [[regular temperament|temperament]], which divides [[3/2]] into three equal intervals representing [[8/7]] ([[tempering out]] the gamelisma, [[1029/1024]]), reaching the full [[7-limit]] such that 17 of these [[generators]] [[stacking|stack]] to reach the interval class of the [[5/1|5th harmonic]]. It tempers out [[245/243]], making it a [[sensamagic clan|sensamagic temperament]], so that [[5/3]] is divided into two intervals of [[9/7]]; and it tempers out [[5120/5103]], making it also a [[hemifamity temperaments|hemifamity temperament]], so that [[9/8]] stacks thrice into [[10/7]].
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 |
 |}
-<nowiki/>* In 13-limit POTE tuning
+<nowiki/>* In 11-limit CWE tuning
 == Notation ==