Flattone: Difference between revisions

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{{Infobox regtemp

| Title = Flattone

| Subgroups = 2.3.5.7

| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13

| Comma basis = [[81/80]], [[525/512]]

| Comma basis = [[81/80]], [[525/512]] (2.3.5.7);<br>[[45/44]], [[81/80]], [[385/384]] (2.3.5.7.11);<br>[[45/44]], [[65/64]], [[78/77]], [[81/80]] (2.3.5.7.11.13)

| Edo join 1 = 19 | Edo join 2 = 26

| Mapping = 1; 1 4 -9

| Mapping = 1; 1 4 -9 6 -4

| Generator = 3/2

| Generator tuning = 693.1

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

| Pergen = (P8, P5)

| Odd limit 1 = 7 | Odd limit 2 = 13

| Mistuning 1 = ? | Mistuning 2 = ?

| Complexity 1 = 19 | Complexity 2 = 19

}}

'''Flattone''' is an alternative [[extension]] to [[5-limit]] [[meantone]], the [[temperament]] that [[tempering out|tempers out]] the [[81/80|syntonic comma (81/80)]]. It is generated by a fifth that is typically flatter than that of [[septimal meantone]], and nine of those reach the [[pitch class]] of [[8/7]], so that [[7/4]] is a diminished seventh (C–B𝄫), [[7/6]] is a diminished third (C–E𝄫), and [[7/5]] is a doubly diminished fifth (C–G𝄫). Although 7/4 is simpler than in septimal meantone, the full [[9-odd-limit]] [[tonality diamond]] is more complex as the 5 and 7 are reached by going in opposite directions, while also being less accurate.

@@ Line 1: / Line 1: @@
 {{Infobox regtemp
 | Title = Flattone
-| Subgroups = 2.3.5.7
+| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13
-| Comma basis = [[81/80]], [[525/512]]
+| Comma basis = [[81/80]], [[525/512]] (2.3.5.7);<br>[[45/44]], [[81/80]], [[385/384]] (2.3.5.7.11);<br>[[45/44]], [[65/64]], [[78/77]], [[81/80]] (2.3.5.7.11.13)
 | Edo join 1 = 19 | Edo join 2 = 26
-| Mapping = 1; 1 4 -9
+| Mapping = 1; 1 4 -9 6 -4
 | Generator = 3/2
 | Generator tuning = 693.1
@@ Line 10: / Line 10: @@
 | MOS scales = [[5L&nbsp;2s]], [[7L&nbsp;5s]], [[7L&nbsp;12s]]
 | Pergen = (P8, P5)
+| Odd limit 1 = 7 | Odd limit 2 = 13
+| Mistuning 1 = ? | Mistuning 2 = ?
+| Complexity 1 = 19 | Complexity 2 = 19
 }}
 '''Flattone''' is an alternative [[extension]] to [[5-limit]] [[meantone]], the [[temperament]] that [[tempering out|tempers out]] the [[81/80|syntonic comma (81/80)]]. It is generated by a fifth that is typically flatter than that of [[septimal meantone]], and nine of those reach the [[pitch class]] of [[8/7]], so that [[7/4]] is a diminished seventh (C–B𝄫), [[7/6]] is a diminished third (C–E𝄫), and [[7/5]] is a doubly diminished fifth (C–G𝄫). Although 7/4 is simpler than in septimal meantone, the full [[9-odd-limit]] [[tonality diamond]] is more complex as the 5 and 7 are reached by going in opposite directions, while also being less accurate.