BPS: Difference between revisions

Line 1:

{{Infobox Regtemp

| Title = Bohlen–Pierce–Stearns

| Subgroups = 3.5.7

| Comma basis = [[245/243]]

| Edo join 1 = b13 | Edo join 2 = b17

| Mapping = 1; 2 -1

| Generator = 9/7

| Generator tuning = 440.7

| Optimization method = CWE

| MOS scales = [[4L 1s (3/1-equivalent)|4L 1s <3/1>]], [[4L 5s (3/1-equivalent)|4L 5s <3/1>]]

| Color name =

| Odd limit 1 = 7 | Mistuning 1 = 4.73 | Complexity 1 =

| Odd limit 2 = (3.5.7) 49 | Mistuning 2 = 9.46 | Complexity 2 =

}}

'''BPS''' (for ''Bohlen–Pierce–Stearns'') is a [[non-octave]] [[regular temperament|temperament]] in the 3.5.7 [[subgroup]] generated by a sharp [[~]][[9/7]] (or equivalently a flat ~[[7/3]]), [[tempering out]] the sensamagic comma ([[245/243]]) so that a stack of two generators represents [[5/3]] in addition to 81/49. This generates a [[mos scale]] of {{mos scalesig|4L 5s<3/1>|link=1}}, known as the Bohlen–Pierce ''Lambda'' scale. The "canonical" tuning for the generator is [[13edt|3\13edt]], representing the equal-tempered [[Bohlen–Pierce]] scale, but a range of other tunings are valid, including [[17edt|4\17edt]], [[30edt|7\30edt]], and [[43edt|10\43edt]].

@@ Line 1: / Line 1: @@
+{{Infobox Regtemp
+| Title = Bohlen–Pierce–Stearns
+| Subgroups = 3.5.7
+| Comma basis = [[245/243]]
+| Edo join 1 = b13 | Edo join 2 = b17
+| Mapping = 1; 2 -1
+| Generator = 9/7
+| Generator tuning = 440.7
+| Optimization method = CWE
+| MOS scales = [[4L 1s (3/1-equivalent)|4L 1s <3/1>]], [[4L 5s (3/1-equivalent)|4L 5s <3/1>]]
+| Color name =
+| Odd limit 1 = 7 | Mistuning 1 = 4.73 | Complexity 1 =
+| Odd limit 2 = (3.5.7) 49 | Mistuning 2 = 9.46 | Complexity 2 =
+}}
 {{Wikipedia|Bohlen–Pierce scale}}
 '''BPS''' (for ''Bohlen–Pierce–Stearns'') is a [[non-octave]] [[regular temperament|temperament]] in the 3.5.7 [[subgroup]] generated by a sharp [[~]][[9/7]] (or equivalently a flat ~[[7/3]]), [[tempering out]] the sensamagic comma ([[245/243]]) so that a stack of two generators represents [[5/3]] in addition to 81/49. This generates a [[mos scale]] of {{mos scalesig|4L 5s<3/1>|link=1}}, known as the Bohlen–Pierce ''Lambda'' scale. The "canonical" tuning for the generator is [[13edt|3\13edt]], representing the equal-tempered [[Bohlen–Pierce]] scale, but a range of other tunings are valid, including [[17edt|4\17edt]], [[30edt|7\30edt]], and [[43edt|10\43edt]].