User:Moremajorthanmajor/4L 1s (major sixth-equivalent) - Revision history

Moremajorthanmajor at 04:49, 20 December 2024

2024-12-20T04:49:54Z

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Moremajorthanmajor: Undo revision 171873 by Moremajorthanmajor (talk)

2024-12-20T04:43:45Z

Undo revision 171873 by Moremajorthanmajor (talk)

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Moremajorthanmajor: /* Notation */

2024-12-20T04:41:36Z

Notation

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Moremajorthanmajor: /* Genchain */

2024-11-25T03:36:51Z

Genchain

← Older revision		Revision as of 03:36, 25 November 2024
Line 401:		Line 401:
	\|Mibb		\|Mibb
	Labb		Labb

	Sibb		Sibb
	\|Fab		\|Fab
	Sibb		Sibb

	Dob		Dob
	\|Solb		\|Solb
	Dob		Dob

	Reb		Reb
	\|Dob		\|Dob
	Fab		Fab

	Solb		Solb
	\|Reb		\|Reb
	Solb		Solb

	Lab		Lab
	\|Mib		\|Mib
	Lab		Lab

	Sib		Sib
	\|Fa		\|Fa
	Sib		Sib

	Do		Do
	\|Sol		\|Sol
	Do		Do

	Re		Re
	\|Do		\|Do
	Fa		Fa

	Sol		Sol
	\|Re		\|Re
	Sol		Sol

	La		La
	\|Mi		\|Mi
	La		La

	Si		Si
	\|Fa#		\|Fa#
	Si		Si

	Do#		Do#
	\|Sol#		\|Sol#
	Do#		Do#

	Re#		Re#
	\|Do#		\|Do#
	Fa#		Fa#

	Sol#		Sol#
	\|Re#		\|Re#
	Sol#		Sol#

	La#		La#
	\|Mi#		\|Mi#
	La#		La#

	Si#		Si#
	\|Fax		\|Fax
	Si#		Si#

	Dox		Dox
	\|-		\|-

Moremajorthanmajor: /* See also */

2024-11-02T04:00:11Z

Moremajorthanmajor: /* Scale tree */

2024-10-22T05:57:32Z

Scale tree

← Older revision		Revision as of 05:57, 22 October 2024
Line 1,016:		Line 1,016:

	[[4L 1s (12/7-equivalent)]] - idealized Archytas tuning		[[4L 1s (12/7-equivalent)]] - idealized Archytas tuning

			[[8L 2s (8/3-equivalent)]] - low warped Pythagorean tuning

	[[8L 2s (e-equivalent)\|8L 2s ([math]e[/math]-equivalent)]] - natural tuning		[[8L 2s (e-equivalent)\|8L 2s ([math]e[/math]-equivalent)]] - natural tuning

			[[8L 2s (2000/729-equivalent)]] - 1/2 comma meantone tuning

	[[8L 2s (11/4-equivalent)]] - idealized low tuning, low undecimal tuning		[[8L 2s (11/4-equivalent)]] - idealized low tuning, low undecimal tuning

	[[8L 2s (14/5-equivalent)]] - ~~low septimal~~ tuning		[[8L 2s (45/16-equivalent)]] - 1/6 comma meantone tuning

	[[8L 2s (~~2048~~/~~729~~-equivalent)~~\|8L 2s (2048/729-equivalent~~]]) - low ~~Pythagorean~~ tuning		[[8L 2s (14/5-equivalent)]] - low septimal (meantone) tuning

	[[8L 2s (729/256-equivalent)]] - ~~high~~ Pythagorean tuning		[[8L 2s (729/256-equivalent)]] - Pythagorean tuning

	[[8L 2s (20/7-equivalent)]] - idealized high tuning, high septimal tuning		[[8L 2s (20/7-equivalent)]] - idealized high tuning, high septimal tuning

			[[8L 2s (81/28-equivalent)]] - 1/6 comma Archytas tuning

	[[8L 2s (32/11-equivalent)]] - high undecimal tuning		[[8L 2s (32/11-equivalent)]] - high undecimal tuning

			[[8L 2s (2000/729-equivalent)\|8L 2s (1024/343-equivalent)]] - 1/2 comma Archytas tuning

			[[8L 2s (3/1-equivalent)]] - low warped Pythagorean tuning

Moremajorthanmajor: /* See also */

2024-10-20T20:39:21Z

Moremajorthanmajor at 20:18, 20 October 2024

2024-10-20T20:18:05Z

← Older revision		Revision as of 20:18, 20 October 2024
Line 3:		Line 3:
	The generator range is 171.4 to 240 cents, placing it on the diatonic major second, usually representing a major second of some type (like [[8/7]]). The bright (chroma-positive) generator is, however, its major sixth complement (685.7 to 720 cents).		The generator range is 171.4 to 240 cents, placing it on the diatonic major second, usually representing a major second of some type (like [[8/7]]). The bright (chroma-positive) generator is, however, its major sixth complement (685.7 to 720 cents).

	Because this diatonic is a major sixth-repeating scale, each tone has a ~~5/3~~ major sixth above it. The scale has one augmented chord, two major chords, two minor chords. This diatonic also has two dominant 7th chords, making it a warped Neapolitan minor scale.		Because this diatonic is a major sixth-repeating scale, each tone has a major sixth above it. The scale has one augmented chord, two major chords, two minor chords. This diatonic also has two dominant 7th chords, making it a warped Neapolitan minor scale.

	[[Basic]] diatonic is in [[9ed5/3]], which is a very good major sixth-based equal tuning similar to [[12edo]].		[[Basic]] diatonic is in [[9ed5/3]], which is a very good major sixth-based equal tuning similar to [[12edo]].

Moremajorthanmajor: /* Notation */

2024-10-15T19:32:15Z

Notation

← Older revision		Revision as of 19:32, 15 October 2024
Line 156:		Line 156:
	\|16\17, 872.727¢		\|16\17, 872.727¢
	\|-		\|-
	\|Dob, Solb		\|Dob, Fab, Solb
	\|Ϛb/Ϝb		\|Ϛb/Ϝb
	\|18\19, 830.769¢		\|18\19, 830.769¢
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	\|14\17, 763.636¢		\|14\17, 763.636¢
	\|-		\|-
	!Do, Sol		!Do, Fa, Sol
	!Ϛ/Ϝ		!Ϛ/Ϝ
	!19\19, 876.923¢		!19\19, 876.923¢
Line 175:		Line 175:
	!17\17, 927.273¢		!17\17, 927.273¢
	\|-		\|-
	\|Do#, Sol#		\|Do#, Fa#, Sol#
	\|Ϛ#/Ϝ#		\|Ϛ#/Ϝ#
	\|20\19, 923.077¢		\|20\19, 923.077¢
Line 185:		Line 185:
	\|20\17, 1090.909¢		\|20\17, 1090.909¢
	\|-		\|-
	\|Reb, Lab		\|Reb, Solb, Lab
	\|Ζb		\|Ζb
	\|22\19, 1015.385¢		\|22\19, 1015.385¢
Line 194:		Line 194:
	\|18\17, 981.818¢		\|18\17, 981.818¢
	\|-		\|-
	\|'''Re, La'''		\|'''Re, Sol, La'''
	\|'''Ζ'''		\|'''Ζ'''
	\|'''23\19, 1061.538¢'''		\|'''23\19, 1061.538¢'''
Line 204:		Line 204:
	\|'''21\17,''' '''1145.455¢'''		\|'''21\17,''' '''1145.455¢'''
	\|-		\|-
	\|Re#, La#		\|Re#, Sol#, La#
	\|Ζ#		\|Ζ#
	\|24\19, 1107.692¢		\|24\19, 1107.692¢
Line 214:		Line 214:
	\|24\14, 1309.091¢		\|24\14, 1309.091¢
	\|-		\|-
	\|Mib, Sib		\|Mib, Lab, Sib
	\|Ηb		\|Ηb
	\|26\19, 1200¢		\|26\19, 1200¢
Line 223:		Line 223:
	\|22\17, 1200¢		\|22\17, 1200¢
	\|-		\|-
	\|Mi, Si		\|Mi, La, Si
	\|Η		\|Η
	\|27\19, 1246.154¢		\|27\19, 1246.154¢
Line 233:		Line 233:
	\|25\17, 1363.636¢		\|25\17, 1363.636¢
	\|-		\|-
	\|Mi#, Si#		\|Mi#, La#, Si#
	\|Η#		\|Η#
	\|28\19, 1292.308¢		\|28\19, 1292.308¢
Line 243:		Line 243:
	\|28\17, 1527.272¢		\|28\17, 1527.272¢
	\|-		\|-
	\|Fab, Dob		\|Fab, Sibb, Dob
	\|Θb		\|Θb
	\|29\19, 1338.462¢		\|29\19, 1338.462¢
Line 252:		Line 252:
	\|23\17, 1254.545¢		\|23\17, 1254.545¢
	\|-		\|-
	\|Fa, Do		\|Fa, Sib, Do
	\|Θ		\|Θ
	\|30\19, 1384.615¢		\|30\19, 1384.615¢
Line 262:		Line 262:
	\|26\17, 1418.182¢		\|26\17, 1418.182¢
	\|-		\|-
	\|Fa#, Do#		\|Fa#, Si, Do#
	\|Θ#		\|Θ#
	\|31\19, 1430.769¢		\|31\19, 1430.769¢
Line 272:		Line 272:
	\|29\17, 1581.182¢		\|29\17, 1581.182¢
	\|-		\|-
	\|Solb, Reb		\|Solb, Dob, Reb
	\|Ιb		\|Ιb
	\|33\19, 1523.077¢		\|33\19, 1523.077¢
Line 281:		Line 281:
	\|27\17, 1472.727¢		\|27\17, 1472.727¢
	\|-		\|-
	\|'''Sol, Re'''		\|'''Sol, Do, Re'''
	\|'''Ι'''		\|'''Ι'''
	\|'''34\19,''' '''1569.231¢'''		\|'''34\19,''' '''1569.231¢'''
Line 291:		Line 291:
	\|'''30\17,''' '''1636.363¢'''		\|'''30\17,''' '''1636.363¢'''
	\|-		\|-
	\|Sol#, Re#		\|Sol#, Do#, Re#
	\|Ι#		\|Ι#
	\|35\19, 1615.385¢		\|35\19, 1615.385¢
Line 301:		Line 301:
	\|33\17, 1800¢		\|33\17, 1800¢
	\|-		\|-
	\|Dob, Solb		\|Dob, Fab, Solb
	\|Αb		\|Αb
	\|37\19, 1707.692¢		\|37\19, 1707.692¢
Line 310:		Line 310:
	\|31\17, 1490.909¢		\|31\17, 1490.909¢
	\|-		\|-
	!Do, Sol		!Do, Fa, Sol
	!Α		!Α
	!38\19, 1753.846¢		!38\19, 1753.846¢

Moremajorthanmajor: /* Notation */

2024-10-15T19:30:24Z

Notation

Show changes

← Older revision		Revision as of 04:00, 2 November 2024
Line 1,016:		Line 1,016:

	[[4L 1s (12/7-equivalent)]] - idealized Archytas tuning		[[4L 1s (12/7-equivalent)]] - idealized Archytas tuning

	~~[[8L 2s (8/3-equivalent)]] - low warped Pythagorean tuning~~

	[[8L 2s (e-equivalent)\|8L 2s ([math]e[/math]-equivalent)]] - natural tuning		[[8L 2s (e-equivalent)\|8L 2s ([math]e[/math]-equivalent)]] - natural tuning
Line 1,039:		Line 1,037:
	[[8L 2s (2000/729-equivalent)\|8L 2s (1024/343-equivalent)]] - 1/2 comma Archytas tuning		[[8L 2s (2000/729-equivalent)\|8L 2s (1024/343-equivalent)]] - 1/2 comma Archytas tuning

	[[8L 2s (3/1-equivalent)]] - ~~low~~ warped Pythagorean tuning		[[8L 2s (3/1-equivalent)]] - warped Pythagorean tuning

← Older revision		Revision as of 20:39, 20 October 2024
Line 1,010:		Line 1,010:
	== See also ==		== See also ==
	[[4L 1s (5/3-equivalent)]] - idealized meantone tuning		[[4L 1s (5/3-equivalent)]] - idealized meantone tuning

			[[4L 1s (27/16-equivalent)]] - Pythagorean tuning

	[[4L 1s (22/13-equivalent)]] - Neogothic tuning		[[4L 1s (22/13-equivalent)]] - Neogothic tuning
Line 1,020:		Line 1,022:

	[[8L 2s (14/5-equivalent)]] - low septimal tuning		[[8L 2s (14/5-equivalent)]] - low septimal tuning

			[[8L 2s (2048/729-equivalent)\|8L 2s (2048/729-equivalent]]) - low Pythagorean tuning

			[[8L 2s (729/256-equivalent)]] - high Pythagorean tuning

	[[8L 2s (20/7-equivalent)]] - idealized high tuning, high septimal tuning		[[8L 2s (20/7-equivalent)]] - idealized high tuning, high septimal tuning

	[[8L 2s (32/11-equivalent)]] - high undecimal tuning		[[8L 2s (32/11-equivalent)]] - high undecimal tuning