Compdye - Revision history

Tristanbay: /* Example scale */Changed example scale to mode with 8::16 from root

2025-01-05T10:06:53Z

Example scale: Changed example scale to mode with 8::16 from root

← Older revision		Revision as of 10:06, 5 January 2025
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	==Example scale==		==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		<pre>! compdye.scl
	!		!
Line 14:		Line 14:
	263.414634		263.414634
	292.682927		292.682927
			351.219512
	380.487805		380.487805
	~~409.756098~~
	468.292683		468.292683
	497.560976		497.560976
Line 24:		Line 24:
	760.97561		760.97561
	790.243902		790.243902
			848.780488
	878.04878		878.04878
	~~907.317073~~
	965.853659		965.853659
	995.121951		995.121951

Tristanbay: Added and rearranged info such as harmonic series content found in the pattern

2025-01-05T03:05:49Z

Added and rearranged info such as harmonic series content found in the pattern

← Older revision		Revision as of 03:05, 5 January 2025
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==		==Example scale==

Tristanbay: /* Example scale */Changed ternary scale patterns category to rank-3 scales category

2024-12-07T18:05:24Z

Example scale: Changed ternary scale patterns category to rank-3 scales category

← Older revision		Revision as of 18:05, 7 December 2024
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	[[Category:Abstract scale patterns]]		[[Category:Abstract scale patterns]]
	[[Category:~~Ternary scale patterns~~]]		[[Category:Rank-3 scales]]

Tristanbay: /* Example scale */Added ternary scale patterns category

2024-12-07T18:04:06Z

Example scale: Added ternary scale patterns category

← Older revision		Revision as of 18:04, 7 December 2024
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	[[Category:Abstract scale patterns]]		[[Category:Abstract scale patterns]]
			[[Category:Ternary scale patterns]]

Tristanbay: /* Example scale */Added compdye scale pattern (copied much of text from platonic scale pattern page)

2024-12-05T18:45:25Z

Example scale: Added compdye scale pattern (copied much of text from platonic scale pattern page)

New page

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]].

==Example scale==
The following is an example of a compdye scale with a step ordering of '''msLsmsLsmsmsLsmsLsmsmsLs'''.
<pre>! compdye.scl
!
Compdye Ternary Scale in 41edo
24
!
58.536585
87.804878
175.609756
204.878049
263.414634
292.682927
380.487805
409.756098
468.292683
497.560976
556.097561
585.365854
673.170732
702.439024
760.97561
790.243902
878.04878
907.317073
965.853659
995.121951
1053.658537
1082.926829
1170.731707
1200.</pre>

[[Category:Abstract scale patterns]]