User:Dummy index/draft: 8L 3s (3/1-equivalent): Difference between revisions
Dummy index (talk | contribs) Created page with "{{Infobox MOS|Scale Signature=8L 3s<3/1>}} {{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 == === 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 L..." |
Dummy index (talk | contribs) No edit summary |
||
| Line 4: | Line 4: | ||
== Scale properties == | == Scale properties == | ||
{{TAMNAMS use}} | |||
=== Intervals === | === Intervals === | ||
{{MOS intervals|Scale Signature=8L 3s<3/1>}} | {{MOS intervals|Scale Signature=8L 3s<3/1>}} | ||
| Line 14: | Line 16: | ||
== Theory == | == 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. | 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 === | === Low harmonic entropy scales === | ||
* Pythagorean tuning (period = 3/1, generator = 3/2): L/s = 2. | * 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 == | == Tuning ranges == | ||
| Line 24: | Line 28: | ||
=== Soft-of-basic tunings === | === Soft-of-basic tunings === | ||
{{MOS tunings|Scale Signature=8L 3s<3/1>|Step Ratios=5/4; 4/3; 3/2}} | {{MOS tunings|Scale Signature=8L 3s<3/1>|Step Ratios=5/4; 4/3; 3/2; 5/3}} | ||
=== Hard-of-basic tunings === | === Hard-of-basic tunings === | ||
{{MOS tunings|Scale Signature=8L 3s<3/1>|Step Ratios=3/1; 4/1; 5/1}} | {{MOS tunings|Scale Signature=8L 3s<3/1>|Step Ratios=5/2; 3/1; 4/1; 5/1}} | ||
== Scale tree == | == Scale tree == | ||
{{MOS tuning spectrum|Scale Signature=8L 3s<3/1>|9/4=Pythagorean tuning is around here}} | {{MOS tuning spectrum|Scale Signature=8L 3s<3/1>|9/4=Pythagorean tuning is around here}} | ||