No-fives subgroup temperaments: Difference between revisions

=== Slendrismic ===

{{see also| 5th-octave temperaments #Slendrismic }}

In slendrismic, the period (1＼5) is given a very accurate interpretation of [[147/128]] = ([[3/2]])/([[8/7]])² = [[8/7]] * [[1029/1024|1029/1024 = S7/S8]], which is a significant interval as it is the "harmonic 5edostep" in that it's a [[rooted]] (/2^n) interval that approximates 1＼5 very well. The generator is [[1029/1024]], the difference between [[8/7]] and [[147/128]] and therefore between 3/2 and (8/7)³. The temperament is named for the very "slender" generator as well as as a pun on "[[slendric]]" (which it shouldn't be confused with). One can consider this as a microtemperament counterpart to [[cloudy]], which equates them.