Compdye: Difference between revisions

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The '''compdye''' scale pattern is a 24-note [[Step variety|ternary]] pattern that can be made by taking a 12-note [[Pythagorean]] scale and cloning it with an offset of [[81/80]]~[[64/63]]. It is notable in [[aberrismic theory]] due to ~~the~~ relatively accurate tempering of harmonic segment 1::12 ~~contained within~~ it. ~~It can be notated as '''5L7m12s'''. The pattern~~ can be found in [[EDO|edos]] such as ~~[[41edo|41]],~~ [[46edo|46]], and [[58edo|58~~]] and is strongly associated with [[Pele|pele temperament~~]].

The '''compdye''' scale pattern is a 24-note [[Step variety|ternary]] pattern that can be made by taking a 12-note [[Pythagorean]] scale and cloning it with an offset of [[81/80]]~[[64/63]]. It can be notated as '''5L7m12s''', and it is notable in [[aberrismic theory]] due to its relatively accurate tempering of the first 12 to 16 harmonics. In [[11-limit]] [[Pele|pele temperament]], the pattern contains the harmonic segment 1::12, and in [[13-limit]] [[Pentacircle clan#Pentafrost|pentafrost temperament]], it contains 1::16. [[41edo]] is a good choice to tune compdye to, since it supports both pele and pentafrost, but it can also be found in other [[EDO|edos]] such as [[46edo|46]] and [[58edo|58]].

==Example scale==

The following is an example of a compdye scale with a step ordering of '''~~msLsmsLsmsmsLsmsLsmsmsLs~~'''.

The following is an example of a compdye scale with a step ordering of '''msLsmsmsLsmsLsmsmsLsmsLs'''.

<pre>! compdye.scl

!

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263.414634

292.682927

351.219512

380.487805

~~409.756098~~

468.292683

497.560976

Line 24:

760.97561

790.243902

848.780488

878.04878

~~907.317073~~

965.853659

995.121951

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[[Category:Abstract scale patterns]]

[[Category:~~Ternary scale patterns~~]]

[[Category:Rank-3 scales]]

@@ Line 1: / Line 1: @@
-The '''compdye''' scale pattern is a 24-note [[Step variety|ternary]] pattern that can be made by taking a 12-note [[Pythagorean]] scale and cloning it with an offset of [[81/80]]~[[64/63]]. It is notable in [[aberrismic theory]] due to the relatively accurate tempering of harmonic segment 1::12 contained within it. It can be notated as '''5L7m12s'''. The pattern can be found in [[EDO|edos]] such as [[41edo|41]], [[46edo|46]], and [[58edo|58]] and is strongly associated with [[Pele|pele temperament]].
+The '''compdye''' scale pattern is a 24-note [[Step variety|ternary]] pattern that can be made by taking a 12-note [[Pythagorean]] scale and cloning it with an offset of [[81/80]]~[[64/63]]. It can be notated as '''5L7m12s''', and it is notable in [[aberrismic theory]] due to its relatively accurate tempering of the first 12 to 16 harmonics. In [[11-limit]] [[Pele|pele temperament]], the pattern contains the harmonic segment 1::12, and in [[13-limit]] [[Pentacircle clan#Pentafrost|pentafrost temperament]], it contains 1::16. [[41edo]] is a good choice to tune compdye to, since it supports both pele and pentafrost, but it can also be found in other [[EDO|edos]] such as [[46edo|46]] and [[58edo|58]].
 ==Example scale==
-The following is an example of a compdye scale with a step ordering of '''msLsmsLsmsmsLsmsLsmsmsLs'''.
+The following is an example of a compdye scale with a step ordering of '''msLsmsmsLsmsLsmsmsLsmsLs'''.
 <pre>! compdye.scl
 !
@@ Line 14: / Line 14: @@
 .414634
 .682927
+.219512
 .487805
-.756098
 .292683
 .560976
@@ Line 24: / Line 24: @@
 .97561
 .243902
+.780488
 .04878
-.317073
 .853659
 .121951
@@ Line 34: / Line 34: @@
 [[Category:Abstract scale patterns]]
-[[Category:Ternary scale patterns]]
+[[Category:Rank-3 scales]]