49edo: Difference between revisions
→21st century: Add Bryan Deister's ''microtonal improv in 49edo'' (2024) |
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== Octave stretch or compression == | == Octave stretch or compression == | ||
49edo's [[prime]]s 3, 5, 7 and 11 are all tuned sharp, so 49edo can benefit from [[octave shrinking]]. Some compressed-octave tunings of 49edo include (least to most compression): [[ed12|176ed12]], [[ed5|114ed5]], [[zpi|233zpi]], [[ed6|127ed6]], [[ed7|138ed7]] and [[78edt]]. | 49edo's [[prime]]s 3, 5, 7 and 11 are all tuned sharp, so 49edo can benefit from [[octave shrinking]]. Some compressed-octave tunings of 49edo include (least to most compression): [[ed12|176ed12]], [[ed5|114ed5]], [[zpi|233zpi]], [[ed6|127ed6]], [[ed7|138ed7]] and [[78edt]]. | ||
=== Nonoctave temperament === | |||
Taking every second degree of 49edo with the octave compressed by 3.861 cents to 1196.139 cents yields the [[Triple BP|triple Bohlen–Pierce]] scale, optimized as a Tenney–Euclidean regular temperament in the 3.5.7.11.13 subgroup and mapped as [⟨39 57 69 85 91]]. | |||
== Scales == | == Scales == | ||