User:BudjarnLambeth/Breuddwyd6: Difference between revisions
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{{Editable user page|Feel free to add examples of music made with this scale, and feel free to add any new scales, approaches or other concepts you develop based on these ideas.}} | |||
The '''breuddwyd-6 scale'''{{idiosyncratic}} is a [[polymicrotonality|polymicrotonal]] scale. Breuddwyd-6 is created by including all the intervals from the scales [[5ed6]], [[11ed6]], [[13ed6]] and [[31ed6]]. | The '''breuddwyd-6 scale'''{{idiosyncratic}} is a [[polymicrotonality|polymicrotonal]] scale. Breuddwyd-6 is created by including all the intervals from the scales [[5ed6]], [[11ed6]], [[13ed6]] and [[31ed6]]. | ||
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The '''snow braid scale'''{{idiosyncratic}} is a [[:Category:37-tone scales|37-tone]] subset of the breuddwyd-6 scale. | The '''snow braid scale'''{{idiosyncratic}} is a [[:Category:37-tone scales|37-tone]] subset of the breuddwyd-6 scale. | ||
Its name derives from the [[iceface]] | Its name derives from the [[iceface tuning]] because that also contains an even mix of [[12edo]]-like intervals with [[xenharmonic]] intervals. | ||
The snow braid scale approximates the full [[11-limit]] quite well. | The snow braid scale approximates the full [[11-limit]] quite well. | ||
Its equave is [[6/1]], and it has 37 notes per equave - so about 12 per octave on average. [[Category:37-tone scales]] | Its equave is [[6/1]], and it has 37 notes per equave - so about 12 per octave on average. It can be viewed as a [[well temperament]] of [[37ed6]].[[Category:37-tone scales]] [[Ed6]]s with exceptional approximations of snow braid for their size include: [[168ed6]] (8.4¢ err), [[195ed6]] (7.2¢), [[196ed6]] (7.2¢), [[235ed6]] (6.0¢), [[288ed6]] (4.9¢), [[289ed6]] (4.9¢) and [[341ed6]] (2.1¢). | ||
==== Scala file ==== | ==== (Scala file) ==== | ||
<pre> | <pre> | ||
! | ! SnowBraid.scl | ||
! Created using Scale Workshop 3.1.0 | ! Created using Scale Workshop 3.1.0 | ||
! | ! | ||
! https://scaleworkshop.plainsound.org/ | ! https://scaleworkshop.plainsound.org/ | ||
! | ! | ||
Subset of Breuddwyd6 | Subset of Breuddwyd6 | ||
Latest revision as of 06:58, 18 March 2025
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
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The breuddwyd-6 scale[idiosyncratic term] is a polymicrotonal scale. Breuddwyd-6 is created by including all the intervals from the scales 5ed6, 11ed6, 13ed6 and 31ed6.
It belongs to a collection of scales called the breuddwyd scales.[idiosyncratic term] Its equave is 6/1, and it has 57 notes per equave - so about 19 per octave on average.
It approximates the full 11-limit quite well.
Scala file
! Breuddwyd6.scl ! Created using Scale Workshop 3.1.0 ! ! https://scaleworkshop.plainsound.org/scale/AtmRTbIv- ! Polymicrotonal scale of 5ed6, 11ed6, 13ed6 and 31ed6 57 ! 100.063 ! 1\31<6> 200.126 ! 2\31<6> 238.612 ! 1\13<6> 281.996 ! 1\11<6> 300.189 ! 3\31<6> 400.252 ! 4\31<6> 477.224 ! 2\13<6> 500.315 ! 5\31<6> 563.992 ! 2\11<6> 600.378 ! 6\31<6> 620.391 ! 1\5<6> 700.441 ! 7\31<6> 715.836 ! 3\13<6> 800.505 ! 8\31<6> 845.988 ! 3\11<6> 900.568 ! 9\31<6> 954.448 ! 4\13<6> 1000.631 ! 10\31<6> 1100.694 ! 11\31<6> 1127.984 ! 4\11<6> 1193.060 ! 5\13<6> 1200.757 ! 12\31<6> 1240.782 ! 2\5<6> 1300.820 ! 13\31<6> 1400.883 ! 14\31<6> 1409.980 ! 5\11<6> 1431.672 ! 6\13<6> 1500.946 ! 15\31<6> 1601.009 ! 16\31<6> 1670.283 ! 7\13<6> 1691.975 ! 6\11<6> 1701.072 ! 17\31<6> 1801.135 ! 18\31<6> 1861.173 ! 3\5<6> 1901.198 ! 19\31<6> 1908.895 ! 8\13<6> 1973.971 ! 7\11<6> 2001.261 ! 20\31<6> 2101.324 ! 21\31<6> 2147.507 ! 9\13<6> 2201.387 ! 22\31<6> 2255.967 ! 8\11<6> 2301.450 ! 23\31<6> 2386.119 ! 10\13<6> 2401.514 ! 24\31<6> 2481.564 ! 4\5<6> 2501.577 ! 25\31<6> 2537.963 ! 9\11<6> 2601.640 ! 26\31<6> 2624.731 ! 11\13<6> 2701.703 ! 27\31<6> 2801.766 ! 28\31<6> 2819.959 ! 10\11<6> 2863.343 ! 12\13<6> 2901.829 ! 29\31<6> 3001.892 ! 30\31<6> 6/1 ! 5\5<6>
Subsets
Snow braid scale
The snow braid scale[idiosyncratic term] is a 37-tone subset of the breuddwyd-6 scale.
Its name derives from the iceface tuning because that also contains an even mix of 12edo-like intervals with xenharmonic intervals.
The snow braid scale approximates the full 11-limit quite well.
Its equave is 6/1, and it has 37 notes per equave - so about 12 per octave on average. It can be viewed as a well temperament of 37ed6. Ed6s with exceptional approximations of snow braid for their size include: 168ed6 (8.4¢ err), 195ed6 (7.2¢), 196ed6 (7.2¢), 235ed6 (6.0¢), 288ed6 (4.9¢), 289ed6 (4.9¢) and 341ed6 (2.1¢).
(Scala file)
! SnowBraid.scl ! Created using Scale Workshop 3.1.0 ! ! https://scaleworkshop.plainsound.org/ ! Subset of Breuddwyd6 37 ! 100.063 ! 1\31<6> 200.126 ! 2\31<6> 238.612 ! 1\13<6> 281.996 ! 1\11<6> 400.252 ! 4\31<6> 500.315 ! 5\31<6> 563.992 ! 2\11<6> 620.391 ! 1\5<6> 700.441 ! 7\31<6> 800.505 ! 8\31<6> 900.568 ! 9\31<6> 954.448 ! 4\13<6> 1000.631 ! 10\31<6> 1127.984 ! 4\11<6> 1193.060 ! 5\13<6> 1300.820 ! 13\31<6> 1409.980 ! 5\11<6> 1500.946 ! 15\31<6> 1601.009 ! 16\31<6> 1691.975 ! 6\11<6> 1801.135 ! 18\31<6> 1908.895 ! 8\13<6> 2001.261 ! 20\31<6> 2101.324 ! 21\31<6> 2147.507 ! 9\13<6> 2255.967 ! 8\11<6> 2301.450 ! 23\31<6> 2401.514 ! 24\31<6> 2481.564 ! 4\5<6> 2537.963 ! 9\11<6> 2601.640 ! 26\31<6> 2701.703 ! 27\31<6> 2801.766 ! 28\31<6> 2863.343 ! 12\13<6> 2901.829 ! 29\31<6> 3001.892 ! 30\31<6> 6/1 ! 5\5<6>