Hexany: Difference between revisions

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Divided by the smallest element, octave reduced and sorted by order, this is: <br>{1/1, 35/32, 9/8, 7/6, 5/4, 21/16, 45/32, 35/24, 3/2, 105/64, 5/3, 7/4, 15/8, 63/32}.

If you include the combinations of 0 out of 4 and 4 out of 4 as well, you get a 16 note scale known as a [[The_block_and_the_tesseract|tesseract]] which is always solidly rooted with all the other notes otonal to the 1.

== Bihexany ==

Another way of expanding out a hexany is by taking two copies of the ''same'' hexany and offsetting them by some other interval. This is particularly useful because the resulting 12 note scale can be mapped onto a standard keyboard with no missed or repeated notes, giving you as many harmonic options as possible without having to buy a custom instrument to play the scale properly. For example, two 1-3-5-9 hexanies separated by a 7/5 would produce a scale of: <br>{1 21/20 9/8 7/6 5/4 21/16 7/5 3/2 63/40 5/3 7/4 15/8 2/1}

== Duohexany ==

Two ''different'' hexanies together is a duohexany. If the hexanies have no intervals in common, this will result in a 12 note scale mappable to a standard keyboard. If they share intervals, the notes per octave will be less than 12.

== Pages for individual hexanies ==

''See [[:Category:Hexanies]].''

''See [[:Category:Hexanies]] and [[Gallery of combination product sets]]''

== External links ==

@@ Line 16: / Line 16: @@
 Divided by the smallest element, octave reduced and sorted by order, this is: <br>{1/1, 35/32, 9/8, 7/6, 5/4, 21/16, 45/32, 35/24, 3/2, 105/64, 5/3, 7/4, 15/8, 63/32}.
+If you include the combinations of 0 out of 4 and 4 out of 4 as well, you get a 16 note scale known as a [[The_block_and_the_tesseract|tesseract]] which is always solidly rooted with all the other notes otonal to the 1.
+== Bihexany ==
+Another way of expanding out a hexany is by taking two copies of the ''same'' hexany and offsetting them by some other interval. This is particularly useful because the resulting 12 note scale can be mapped onto a standard keyboard with no missed or repeated notes, giving you as many harmonic options as possible without having to buy a custom instrument to play the scale properly. For example, two 1-3-5-9 hexanies separated by a 7/5 would produce a scale of: <br>{1 21/20 9/8 7/6 5/4 21/16 7/5 3/2 63/40 5/3 7/4 15/8 2/1}
+== Duohexany ==
+Two ''different'' hexanies together is a duohexany. If the hexanies have no intervals in common, this will result in a 12 note scale mappable to a standard keyboard. If they share intervals, the notes per octave will be less than 12.
 == Pages for individual hexanies ==
-''See [[:Category:Hexanies]].''
+''See [[:Category:Hexanies]] and [[Gallery of combination product sets]]''
 == External links ==