User:Dummy index/draft: 8L 3s (3/1-equivalent) - Revision history

Dummy index: deployed

2025-04-19T16:07:23Z

deployed

← Older revision		Revision as of 16:07, 19 April 2025
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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}}~~

Dummy index at 14:23, 19 April 2025

2025-04-19T14:23:11Z

← Older revision		Revision as of 14:23, 19 April 2025
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	== Scale properties ==		== Scale properties ==
			{{TAMNAMS use}}

	=== Intervals ===		=== Intervals ===
	{{MOS intervals\|Scale Signature=8L 3s<3/1>}}		{{MOS intervals\|Scale Signature=8L 3s<3/1>}}
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	== 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 = 2.26		* 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 ==
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	=== 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}}


	~~{{stub}}~~

Dummy index: 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..."

2025-04-18T14:34:55Z

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..."

New page

{{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 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.

=== Low harmonic entropy scales ===
* Pythagorean tuning (period = 3/1, generator = 3/2): L/s = 2.26

== 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}}

=== Hard-of-basic tunings ===
{{MOS tunings|Scale Signature=8L 3s<3/1>|Step Ratios=3/1; 4/1; 5/1}}

== Scale tree ==
{{MOS tuning spectrum|Scale Signature=8L 3s<3/1>|9/4=Pythagorean tuning is around here}}

{{stub}}