User:BudjarnLambeth/Hall of mirrors: Difference between revisions
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== Subsets == | == Subsets == | ||
=== Enrichment scale === | |||
The '''enrichment scale''' is a triple octave ([[8/1]])-[[period]], 20-tone just intonation scale that occurs as a subset of hall-of-mirrors. It was also described by Lambeth in November 2025. ([https://scaleworkshop.plainsound.org/scale/sau52aILB Scale Workshop link].) | |||
* 6/5 | |||
* 4/3 | |||
* 3/2 | |||
* 5/3 | |||
* 11/6 | |||
* 2/1 | |||
* 11/5 | |||
* 12/5 | |||
* 8/3 | |||
* 3/1 | |||
* 10/3 | |||
* 11/3 | |||
* 4/1 | |||
* 48/11 | |||
* 44/9 | |||
* 16/3 | |||
* 64/11 | |||
* 33/5 | |||
* 80/11 | |||
* 8/1 | |||
=== Others === | |||
Ifdomav (''symmetric mode'') | Ifdomav (''symmetric mode'') | ||
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== Approximations in other tunings == | == Approximations in other tunings == | ||
== In EDOs == | === In EDOs === | ||
[[EDO]]s up to 200 that approximate hall-of-mirrors well are: | [[EDO]]s up to 200 that approximate hall-of-mirrors well are: | ||
* {{EDOs|65, 72, 80, 87, 94, 152, 159, 167, 168, 181, 183, 190}} | * {{EDOs|65, 72, 80, 87, 94, 152, 159, 167, 168, 181, 183, 190}} | ||
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What most of these edos have in common is that they have an interval in the range 12 to 17 [[cents]], and they have a good approximation of the 2.3.5.11 [[JI subgroup]]. | What most of these edos have in common is that they have an interval in the range 12 to 17 [[cents]], and they have a good approximation of the 2.3.5.11 [[JI subgroup]]. | ||
== As a ternary scale == | === As a ternary scale === | ||
Hall of mirrors is almost exactly the 19-tone [[ternary scale]]: | Hall of mirrors is almost exactly the 19-tone [[ternary scale]]: | ||
* '''L s L s s M L M s L s M L M s s L s L''' | * '''L s L s s M L M s L s M L M s s L s L''' | ||