Schismic: Difference between revisions

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~~: ''This page is about a~~ regular temperament sometimes known as "helmholtz"~~. For~~ the music theorist~~, see [[~~Hermann von Helmholtz~~]].''~~

{{About|the regular temperament sometimes known as "helmholtz"|the music theorist|Hermann von Helmholtz}}

{{Infobox regtemp

| Title = Schismic

| Subgroups = 2.3.5

| Comma basis = [[32805/32768]]

| ~~Generator~~ = 3/2

| Edo join 1 = 12 | Edo join 2 = 53

| Mapping = 1; 1 -8

| Generators = 3/2

| Generators tuning = 701.731

| Optimization method = CWE

| MOS scales = [[2L 3s]], [[5L 2s]], [[5L 7s]], [[12L 5s]]

| Pergen = (P8, P5)

| Color name = Layoti

~~| Edo join 1 = 12 | Edo join 2 = 41~~

~~| Optimization method = CWE~~

~~| Generator tuning = 701.731~~

~~| MOS scales = [[2L 3s]], [[5L 2s]], [[5L 7s]], [[12L 5s]]~~

| Odd limit 1 = 5 | Mistuning 1 = 0.217 | Complexity 1 = 12

| Odd limit 2 = (5-limit) 125 | Mistuning 2 = 0.837 | Complexity 2 = 29

| Odd limit 2 = 5-limit 125 | Mistuning 2 = 0.837 | Complexity 2 = 29

}}

'''Schismic''', '''schismatic''', or '''helmholtz''' is a [[5-limit]] [[regular temperament|temperament]] which takes an almost just [[3/2|perfect fifth]] and stacks it eightfold to reach [[8/5]], mapping [[5/4]] to the diminished fourth (e.g. C–F♭) and [[tempering out]] the schisma, [[32805/32768]].

@@ Line 1: / Line 1: @@
-: ''This page is about a regular temperament sometimes known as "helmholtz". For the music theorist, see [[Hermann von Helmholtz]].''
+{{About|the regular temperament sometimes known as "helmholtz"|the music theorist|Hermann von Helmholtz}}
 {{Infobox regtemp
 | Title = Schismic
 | Subgroups = 2.3.5
 | Comma basis = [[32805/32768]]
-| Generator = 3/2
+| Edo join 1 = 12 | Edo join 2 = 53
 | Mapping = 1; 1 -8
+| Generators = 3/2
+| Generators tuning = 701.731
+| Optimization method = CWE
+| MOS scales = [[2L&nbsp;3s]], [[5L&nbsp;2s]], [[5L&nbsp;7s]], [[12L&nbsp;5s]]
 | Pergen = (P8, P5)
 | Color name = Layoti
-| Edo join 1 = 12 | Edo join 2 = 41
-| Optimization method = CWE
-| Generator tuning = 701.731
-| MOS scales = [[2L&nbsp;3s]], [[5L&nbsp;2s]], [[5L&nbsp;7s]], [[12L&nbsp;5s]]
 | Odd limit 1 = 5 | Mistuning 1 = 0.217 | Complexity 1 = 12
-| Odd limit 2 = (5-limit) 125 | Mistuning 2 = 0.837 | Complexity 2 = 29
+| Odd limit 2 = 5-limit 125 | Mistuning 2 = 0.837 | Complexity 2 = 29
 }}
 '''Schismic''', '''schismatic''', or '''helmholtz''' is a [[5-limit]] [[regular temperament|temperament]] which takes an almost just [[3/2|perfect fifth]] and stacks it eightfold to reach [[8/5]], mapping [[5/4]] to the diminished fourth (e.g. C–F♭) and [[tempering out]] the schisma, [[32805/32768]].