Chair scales: Difference between revisions

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A chair scale is a JI or rank-4 scale whose lattice resembles a chair. ~~Specifically~~, the lattice takes the form of a 2x2 cube, with an edge extended along the plane of one of its adjacent faces to another 2 notes, for a total of 10 notes in the scale.

A chair scale is a JI or rank-4 scale whose lattice resembles a chair. It is used to refer to any lattice which is shaped like a chair, but formally, the lattice takes the form of a 2x2 cube, with an edge extended along the plane of one of its adjacent faces to another 2 notes, for a total of 10 notes in the scale.

[[File:Mr bob.png|thumb|The lattice for the Chair of Mr. Bob.]]

A chair can be identified, up to different modes of the scale, by its lattice subgroup (conventionally 2.3.5.7), the edge which is extended (out of 12), and which plane it is extended along (out of 2). Thus, for a given subgroup or other rank-4 tuning, there are 24 chair scales.

A formal chair can be identified, up to different modes of the scale, by its lattice subgroup (conventionally 2.3.5.7), the edge which is extended (out of 12), and which plane it is extended along (out of 2). Thus, for a given subgroup or other rank-4 tuning, there are 24 chair scales.

== Scales ==

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7/4

2/1

=== The Chair of Tristan Bay ===

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[[Category:10-tone scales]]

[[Category:Just intonation scales]]

[[Category:Pages with mostly numerical content]]

[[Category:Pages with Scala files]]

[[Category:Chairs]]

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-A chair scale is a JI or rank-4 scale whose lattice resembles a chair. Specifically, the lattice takes the form of a 2x2 cube, with an edge extended along the plane of one of its adjacent faces to another 2 notes, for a total of 10 notes in the scale.
+A chair scale is a JI or rank-4 scale whose lattice resembles a chair. It is used to refer to any lattice which is shaped like a chair, but formally, the lattice takes the form of a 2x2 cube, with an edge extended along the plane of one of its adjacent faces to another 2 notes, for a total of 10 notes in the scale.
 [[File:Mr bob.png|thumb|The lattice for the Chair of Mr. Bob.]]
-A chair can be identified, up to different modes of the scale, by its lattice subgroup (conventionally 2.3.5.7), the edge which is extended (out of 12), and which plane it is extended along (out of 2). Thus, for a given subgroup or other rank-4 tuning, there are 24 chair scales.
+A formal chair can be identified, up to different modes of the scale, by its lattice subgroup (conventionally 2.3.5.7), the edge which is extended (out of 12), and which plane it is extended along (out of 2). Thus, for a given subgroup or other rank-4 tuning, there are 24 chair scales.
 == Scales ==
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 /4
 /1
 === The Chair of Tristan Bay ===
@@ Line 42: / Line 42: @@
 [[Category:10-tone scales]]
 [[Category:Just intonation scales]]
+[[Category:Pages with mostly numerical content]]
 [[Category:Pages with Scala files]]
 [[Category:Chairs]]