22L 1s: Difference between revisions
explain that it's not just stacking 33/32 to get 7/6, but it covers the entire range pretty much. |
→Tuning ranges: fix the fact |
||
| Line 20: | Line 20: | ||
From 1\22 to 4\91, 13 steps amount to a diatonic fifth. | From 1\22 to 4\91, 13 steps amount to a diatonic fifth. | ||
If the pure 33/32 is used as a generator, the resulting fifth is 692.54826 cents, which puts it in the category around flattone | If the pure 33/32 is used as a generator, the resulting fifth is 692.54826 cents, which puts it in the category around flattone. | ||
==== 700-cent, just, and superpyth fifths (step ratio 7:2 and harder) ==== | ==== 700-cent, just, and superpyth fifths (step ratio 7:2 and harder) ==== | ||
In 156edo, the fifth becomes the [[12edo]] 700-cent fifth. In 200edo, the fifth comes incredibly close to just, as the number 200 is a | In 156edo, the fifth becomes the [[12edo]] 700-cent fifth. In 200edo, the fifth comes incredibly close to just, as the number 200 is a semiconvergent denominator to the approximation of log2(3/2). | ||
When the step ratio is greater than 4.472, then 13 generators amount to a superpyth fifth and the tuning approaches [[22edo]]. | When the step ratio is greater than 4.472, then 13 generators amount to a superpyth fifth and the tuning approaches [[22edo]]. | ||