Amity: Difference between revisions

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{{Infobox regtemp

| Title = Amity

| Subgroups = 2.3.5, 2.3.5.7

| Comma basis = 1600000/1594323 (2.3.5); <br>4375/4374, 5120/5103 (2.3.5.7)

| Generator = 243/200

| Mapping = 1; -5 -13 17

| Pergen = (P8, cP4/5)

| Color name = Saquinyo

| Edo join 1 = 46 | Edo join 2 = 53

| Optimization method = CTE

| Generator tuning = 339.5

| MOS scales = [[7L 4s]], [[7L 11s]], [[7L 18s]], [[7L 25s]]

| Ploidacot = gamma-pentacot

| Odd limit 1 = 5 | Mistuning 1 = 0.47 | Complexity 1 = 32

| Odd limit 2 = 9 | Mistuning 2 = 1.68 | Complexity 2 = 99

}}

'''Amity''' is a [[regular temperament|temperament]] that divides a [[8/3|perfect eleventh]] into 5 [[generator]]s of acute minor thirds. A stack of 13 generators [[octave reduction|octave reduced]] represents [[8/5]], [[tempering out]] the [[amity comma]], 1600000/1594323. This article also assumes the canonical [[extension]] to the [[7-limit]], where a stack of 17 generators octave reduced represents [[7/4]], tempering out [[4375/4374]] and [[5120/5103]]. [[Equal temperaments]] that [[support]] amity include {{EDOs| 46, 53, 99, 152, and 205 }}.

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+{{Infobox regtemp
+| Title = Amity
+| Subgroups = 2.3.5, 2.3.5.7
+| Comma basis = 1600000/1594323 (2.3.5); <br>4375/4374, 5120/5103 (2.3.5.7)
+| Generator = 243/200
+| Mapping = 1; -5 -13 17
+| Pergen = (P8, cP4/5)
+| Color name = Saquinyo
+| Edo join 1 = 46 | Edo join 2 = 53
+| Optimization method = CTE
+| Generator tuning = 339.5
+| MOS scales = [[7L&nbsp;4s]], [[7L&nbsp;11s]], [[7L&nbsp;18s]], [[7L&nbsp;25s]]
+| Ploidacot = gamma-pentacot
+| Odd limit 1 = 5 | Mistuning 1 = 0.47 | Complexity 1 = 32
+| Odd limit 2 = 9 | Mistuning 2 = 1.68 | Complexity 2 = 99
+}}
 '''Amity''' is a [[regular temperament|temperament]] that divides a [[8/3|perfect eleventh]] into 5 [[generator]]s of acute minor thirds. A stack of 13 generators [[octave reduction|octave reduced]] represents [[8/5]], [[tempering out]] the [[amity comma]], 1600000/1594323. This article also assumes the canonical [[extension]] to the [[7-limit]],  where a stack of 17 generators octave reduced represents [[7/4]], tempering out [[4375/4374]] and [[5120/5103]]. [[Equal temperaments]] that [[support]] amity include {{EDOs| 46, 53, 99, 152, and 205 }}.