Compdye: Difference between revisions
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Tristanbay (talk | contribs) →Example scale: Added compdye scale pattern (copied much of text from platonic scale pattern page) Tags: Mobile edit Mobile web edit |
Tristanbay (talk | contribs) →Example scale: Changed example scale to mode with 8::16 from root Tags: Mobile edit Mobile web edit |
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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 '''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== | ||
The following is an example of a compdye scale with a step ordering of ''' | 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 | ||
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 | ||
965.853659 | 965.853659 | ||
995.121951 | 995.121951 | ||
| Line 34: | Line 34: | ||
[[Category:Abstract scale patterns]] | [[Category:Abstract scale patterns]] | ||
[[Category:Rank-3 scales]] | |||
Latest revision as of 10:06, 5 January 2025
The compdye scale pattern is a 24-note 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 temperament, the pattern contains the harmonic segment 1::12, and in 13-limit 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 edos such as 46 and 58.
Example scale
The following is an example of a compdye scale with a step ordering of msLsmsmsLsmsLsmsmsLsmsLs.
! compdye.scl ! Compdye Ternary Scale in 41edo 24 ! 58.536585 87.804878 175.609756 204.878049 263.414634 292.682927 351.219512 380.487805 468.292683 497.560976 556.097561 585.365854 673.170732 702.439024 760.97561 790.243902 848.780488 878.04878 965.853659 995.121951 1053.658537 1082.926829 1170.731707 1200.