User:Dummy index/draft: 8L 3s (3/1-equivalent): Difference between revisions

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{{Infobox MOS|Scale Signature=8L 3s<3/1>}}
#REDIRECT [[8L 3s (3/1-equivalent)]]
{{MOS intro|Scale Signature=8L 3s<3/1>}}
{{mos scalesig|8L 3s<3/1>}} scale pattern includes the well-known {{mos scalesig|5L 2s|link=1}} pattern within it.
 
== Scale properties ==
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals|Scale Signature=8L 3s<3/1>}}
 
=== Generator chain ===
{{MOS genchain|Scale Signature=8L 3s<3/1>}}
 
=== Modes ===
{{MOS mode degrees|Scale Signature=8L 3s<3/1>}}
 
== Theory ==
By dividing the {{mos scalesig|5L 2s}} of LLsLLLs into A=LLs and B=LLLs, and combining them as ABBABB..., it becomes {{mos scalesig|8L 3s<3/1>}}. This scale has octaves that are too frequent for the listener to feel a tritave equivalence. The range of possible dark generators will likely feel sufficiently pseudo-octave. Similar to [[Angel]], it would be good to utilize a finite-length chain of octaves and make use of existing diatonic music theory.
 
=== Low harmonic entropy scales ===
* Pythagorean tuning (period = 3/1, generator = 3/2): L/s = 2.260
* Tritave-equivalent meantone tunings:
** 1/6-comma 3eantone{{idiosyncratic}} tuning ([[unchanged-interval]]s: {3/1, 5/4}): L/s = 1.625
 
== Tuning ranges ==
=== Simple tunings ===
{{MOS tunings|Scale Signature=8L 3s<3/1>|Step Ratios=2/1; 3/1; 3/2}}
 
=== Soft-of-basic tunings ===
{{MOS tunings|Scale Signature=8L 3s<3/1>|Step Ratios=5/4; 4/3; 3/2; 5/3}}
 
=== Hard-of-basic tunings ===
{{MOS tunings|Scale Signature=8L 3s<3/1>|Step Ratios=5/2; 3/1; 4/1; 5/1}}
 
== Scale tree ==
{{MOS tuning spectrum|Scale Signature=8L 3s<3/1>|9/4=Pythagorean tuning is around here}}