7L 7s in 140edo - Revision history

FloraC: Mark todo

2026-04-30T08:58:30Z

Mark todo

← Older revision		Revision as of 08:58, 30 April 2026
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			{{Todo\|inline=1\|discuss title\|comment=This page is about the 7L 7s scale with hardness 13:7. "140edo" is ambiguous.}}

	The '''140edo 7L 7s scale''' is the 14-tone [[MOS scale]] from [[140edo]] with the step pattern [[7L 7s]].		The '''140edo 7L 7s scale''' is the 14-tone [[MOS scale]] from [[140edo]] with the step pattern [[7L 7s]].

Overthink: + scala file

2026-04-29T22:11:02Z

+ scala file

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 * 1140.000 ([[25/13]], [[27/14]])
 * 1200.000 ([[2/1]])
 == [[Scale Workshop]] url ==

Overthink: /* jonorangejuicy's observations */ fix typos

2026-04-16T22:04:06Z

jonorangejuicy's observations: fix typos

← Older revision		Revision as of 22:04, 16 April 2026
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	* 4L+3s functions as 10/7 (+8.2¢)		* 4L+3s functions as 10/7 (+8.2¢)

	In [[bright]] mode, degrees 0-2-5-8 approximate [[10:11:13:15]], with the [[13-limit\|13th harmonic]] being very clear (great for achieving [[xenharmonic\|xenharmony]]), the 11th being ~6.4¢ sharp of just, and ~~the15th~~ being 16.3¢ flat... ~~Thia~~ can be extended with 6L+6s to give a somewhat unstable [[10:11:13:15:18]] pentad, or with 6L+5s to stabilise with an outside 7/4. Or spacing it out can yield [[5:9:11:13]] or [[5:9:11:13:15]].		In [[bright]] mode, degrees 0-2-5-8 approximate [[10:11:13:15]], with the [[13-limit\|13th harmonic]] being very clear (great for achieving [[xenharmonic\|xenharmony]]), the 11th being ~6.4¢ sharp of just, and the 15th being 16.3¢ flat... This can be extended with 6L+6s to give a somewhat unstable [[10:11:13:15:18]] pentad, or with 6L+5s to stabilise with an outside 7/4. Or spacing it out can yield [[5:9:11:13]] or [[5:9:11:13:15]].

	Its "5th-inversion" (in quotes because we're remaining in bright mode instead of flipping to dark mode) 0-3-6-8 gives a [[mu chord\|mu-chord]]-like [[6:7:8:9]] tetrad. Though it sounds better as just 6:7:9 or 6:7:8, since the 8:9 interval is some 32¢ off.		Its "5th-inversion" (in quotes because we're remaining in bright mode instead of flipping to dark mode) 0-3-6-8 gives a [[mu chord\|mu-chord]]-like [[6:7:8:9]] tetrad. Though it sounds better as just 6:7:9 or 6:7:8, since the 8:9 interval is some 32¢ off.

BudjarnLambeth at 08:46, 5 October 2025

2025-10-05T08:46:17Z

← Older revision		Revision as of 08:46, 5 October 2025
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	The ratio between its step sizes (its [[hardness]]) is 13:7.		The ratio between its step sizes (its [[hardness]]) is 13:7.

			It can be thought of as a [[whitewood]][14] scale.

	It was first explored by [[jonorangejuicy]] on the [[Xenharmonic Alliance]] Discord server in early October 2025.		It was first explored by [[jonorangejuicy]] on the [[Xenharmonic Alliance]] Discord server in early October 2025.

BudjarnLambeth: /* Intervals */

2025-10-05T08:37:00Z

Intervals

← Older revision		Revision as of 08:37, 5 October 2025
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	* 13 7 13 7 13 7 13 7 13 7 13 7 13 7		* 13 7 13 7 13 7 13 7 13 7 13 7 13 7

	In cents:		In cents (with nearby [[JI]]):
	* 111.429 ([[16/15]], [[15/14]])		* 111.429 ([[16/15]], [[15/14]])
	* 171.429 ([[11/10]], [[10/9]])		* 171.429 ([[11/10]], [[10/9]])

BudjarnLambeth at 08:36, 5 October 2025

2025-10-05T08:36:32Z

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 It was first explored by [[jonorangejuicy]] on the [[Xenharmonic Alliance]] Discord server in early October 2025.
 == Properties ==
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 - 5L+6s is a mildly sharp major sixth that is accurate to 17/10 (-1.5¢) and 13\17 (-0.5¢)
 The [[utonal]] versions of the bright-mode chords should be available here.
 [[Category:14-tone scales]][[Category:Tempered scales]][[Category:MOS scales]][[Category:140edo]]

BudjarnLambeth at 08:21, 5 October 2025

2025-10-05T08:21:53Z

← Older revision		Revision as of 08:21, 5 October 2025
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	- 5L+6s is a mildly sharp major sixth that is accurate to 17/10 (-1.5¢) and 13\17 (-0.5¢)		- 5L+6s is a mildly sharp major sixth that is accurate to 17/10 (-1.5¢) and 13\17 (-0.5¢)
	The [[utonal]] versions of the bright-mode chords should be available here.		The [[utonal]] versions of the bright-mode chords should be available here.

			[[Category:14-tone scales]][[Category:Tempered scales]][[Category:MOS scales]][[Category:140edo]]

BudjarnLambeth: Created page with "The '''140edo 7L 7s scale''' is the 14-tone MOS scale from 140edo with the step pattern 7L 7s. The ratio between its step sizes (its hardness) is 13:7. It was first explored by jonorangejuicy on the Xenharmonic Alliance Discord server in early October 2025. == Scale Workshop url == * [https://scaleworkshop.plainsound.org/scale/kEtI5geIj Scale Workshop/kEtI5geIj] == Properties == === jonorangejuicy's observations === It resembles 7L 7s fro..."

2025-10-05T08:21:11Z

Created page with "The '''140edo 7L 7s scale''' is the 14-tone MOS scale from 140edo with the step pattern 7L 7s. The ratio between its step sizes (its hardness) is 13:7. It was first explored by jonorangejuicy on the Xenharmonic Alliance Discord server in early October 2025. == Scale Workshop url == * [https://scaleworkshop.plainsound.org/scale/kEtI5geIj Scale Workshop/kEtI5geIj] == Properties == === jonorangejuicy's observations === It resembles 7L 7s fro..."

New page

The '''140edo 7L 7s scale''' is the 14-tone [[MOS scale]] from [[140edo]] with the step pattern [[7L 7s]].

The ratio between its step sizes (its [[hardness]]) is 13:7.

It was first explored by [[jonorangejuicy]] on the [[Xenharmonic Alliance]] Discord server in early October 2025.

== [[Scale Workshop]] url ==
* [https://scaleworkshop.plainsound.org/scale/kEtI5geIj Scale Workshop/kEtI5geIj]

== Properties ==
=== jonorangejuicy's observations ===
It resembles 7L 7s from [[21edo]] but with the odd scale degrees flattened by about [[cents|3¢]] to give an essentially [[just]] 13/10 and 7/4 (<0.2¢ error each). The small step is exactly 60¢ (1\20) and the large step is a very accurate 16/15 (<0.4¢).

Other intervals are recognizable but are notably detuned, with 10-20¢ error, such as:
* 3/2 and 4/3 (4\7 and 3\7 respective) are 16.3¢ off
* 2L+1s is closer to 13/11 (-6.3¢) than 7/6 (+16¢)
* 6L+6s (being 6\7) functions as 9/5 (+11¢) but encroaches on 11/6 (-21¢)
* 4L+3s functions as 10/7 (+8.2¢)

In [[bright]] mode, degrees 0-2-5-8 approximate [[10:11:13:15]], with the [[13-limit|13th harmonic]] being very clear (great for achieving [[xenharmonic|xenharmony]]), the 11th being ~6.4¢ sharp of just, and the15th being 16.3¢ flat... Thia can be extended with 6L+6s to give a somewhat unstable [[10:11:13:15:18]] pentad, or with 6L+5s to stabilise with an outside 7/4. Or spacing it out can yield [[5:9:11:13]] or [[5:9:11:13:15]].

Its "5th-inversion" (in quotes because we're remaining in bright mode instead of flipping to dark mode) 0-3-6-8 gives a [[mu chord|mu-chord]]-like [[6:7:8:9]] tetrad. Though it sounds better as just 6:7:9 or 6:7:8, since the 8:9 interval is some 32¢ off.

The dark mode has has:
- The very accurate 8/7 supermajor second (1L+2s), 20/13 fifth/sixth (4L+5s), and 15/8 major seventh (6L+7s)
- 2L+3s is a familiar-sounding [[12edo]]-ish major third (+2.9¢)
- 5L+6s is a mildly sharp major sixth that is accurate to 17/10 (-1.5¢) and 13\17 (-0.5¢)
The [[utonal]] versions of the bright-mode chords should be available here.