4L 5s (3/1-equivalent): Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
ArrowHead294 (talk | contribs) mNo edit summary |
||
| Line 231: | Line 231: | ||
== List of edts supporting the Lambda scale == | == List of edts supporting the Lambda scale == | ||
Below is a list of equal temperaments which contain a 4L 5s scale using generators between 422.7 and 475.5¢. | Below is a list of equal temperaments which contain a 4L 5s scale using generators between 422.7 and 475.5¢. | ||
{{ | {{MOS tuning spectrum | ||
| 13/6 = [[Bohlen–Pierce–Stearns]] is in this region | |||
| 22/13 = Essentially just 7/3 | |||
}} | |||
Analogously to how the diatonic scale equalizes approaching [[7edo]] and its small steps collapse to 0 in [[5edo]], this scale equalizes approaching [[9edt]] and its small steps collapse in [[4edt]]; therefore, temperaments setting the 7/3 generator to precisely 7\9edt and to precisely 3\4edt are analogs of [[whitewood]] and [[blackwood]] respectively. However, unlike for the diatonic scale, the just point is not close to the center of the tuning range, but approximately 1/4 of the way between 9edt and 4edt, being closely approximated by 37\[[48edt]] and extremely closely approximated by 118\[[153edt]]. | Analogously to how the diatonic scale equalizes approaching [[7edo]] and its small steps collapse to 0 in [[5edo]], this scale equalizes approaching [[9edt]] and its small steps collapse in [[4edt]]; therefore, temperaments setting the 7/3 generator to precisely 7\9edt and to precisely 3\4edt are analogs of [[whitewood]] and [[blackwood]] respectively. However, unlike for the diatonic scale, the just point is not close to the center of the tuning range, but approximately 1/4 of the way between 9edt and 4edt, being closely approximated by 37\[[48edt]] and extremely closely approximated by 118\[[153edt]]. | ||
[[Category:Bohlen-Pierce]] | [[Category:Bohlen-Pierce]] | ||