1L 1s (3/2-equivalent) - Revision history

BudjarnLambeth: Modes & intervals

2024-12-15T08:13:29Z

Modes & intervals

← Older revision		Revision as of 08:13, 15 December 2024
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	Hypohard tuning makes root-4th-P5 triads including 6:8:9, 16:21:24 and 20:27:30. The chroma-positive generator is a fourth and the chroma-negative generator is a whole tone.		Hypohard tuning makes root-4th-P5 triads including 6:8:9, 16:21:24 and 20:27:30. The chroma-positive generator is a fourth and the chroma-negative generator is a whole tone.

			== Modes ==
			{{MOS modes}}

			== Intervals ==
			{{MOS intervals}}

	== Scale tree ==		== Scale tree ==

CompactStar at 02:47, 8 May 2023

2023-05-08T02:47:02Z

← Older revision		Revision as of 02:47, 8 May 2023
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	\| \|\| \|\| \|\| \|\| \|\| 12\17 \|\| 495.498 \|\| 12 \|\| 5 \|\| 2.400 \|\|		\| \|\| \|\| \|\| \|\| \|\| 12\17 \|\| 495.498 \|\| 12 \|\| 5 \|\| 2.400 \|\|
	\|-		\|-
	\| \|\| \|\| \|\| 5\7 \|\| \|\| \|\| 501.396 \|\| 5 \|\| 2 \|\| 2.500 \|\|		\| \|\| \|\| \|\| 5\7 \|\| \|\| \|\| 501.396 \|\| 5 \|\| 2 \|\| 2.500 \|\| Sus4 chord
	\|-		\|-
	\| \|\| \|\| \|\| \|\| \|\| 13\18 \|\| 506.968 \|\| 13 \|\| 5 \|\| 2.600 \|\| Unnamed golden tuning (507.9394¢)		\| \|\| \|\| \|\| \|\| \|\| 13\18 \|\| 506.968 \|\| 13 \|\| 5 \|\| 2.600 \|\| Unnamed golden tuning (507.9394¢)

Inthar: Inthar moved page 1L 1s (fifth-equivalent) to 1L 1s (3/2-equivalent): "Fifth" has a slight ambiguity and it's now easy to update the mos infobox module accordingly

2023-04-01T14:15:17Z

Inthar moved page 1L 1s (fifth-equivalent) to 1L 1s (3/2-equivalent): "Fifth" has a slight ambiguity and it's now easy to update the mos infobox module accordingly

← Older revision	Revision as of 14:15, 1 April 2023
(No difference)

Inthar at 10:07, 17 August 2022

2022-08-17T10:07:34Z

← Older revision		Revision as of 10:07, 17 August 2022
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	\| nSmallSteps = 1		\| nSmallSteps = 1
	\| Equalized = 1		\| Equalized = 1
	\| ~~Paucitonic~~ = 1		\| Collapsed = 1
	\| Pattern = Ls		\| Pattern = Ls
	}}		}}

Fredg999 category edits: Removing from Category:Abstract MOS patterns using Cat-a-lot

2022-08-05T03:16:44Z

Removing from Category:Abstract MOS patterns using Cat-a-lot

← Older revision		Revision as of 03:16, 5 August 2022
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	[[Category:Triad]]		[[Category:Triad]]
	~~[[Category:Abstract MOS patterns]]~~
	[[Category:Nonoctave]]		[[Category:Nonoctave]]

Xenllium: Fixed terms: soft tunings (hyposoft, parasoft and ultrasoft)

2022-02-19T13:35:25Z

Fixed terms: soft tunings (hyposoft, parasoft and ultrasoft)

← Older revision		Revision as of 13:35, 19 February 2022
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	== Tuning ranges ==		== Tuning ranges ==
	Soft ~~tuning makes~~ root-3rd-P5 triads including 4:5:6, 6:7:9, 10:12:15, 10:13:15, 14:17:21, 14:18:21, 16:19:24, 18:22:27 and 18:23:27. The chroma-positive generator is a major third (or hemisixth), and the chroma-negative generator is a minor third (or hemifourth).		Soft tunings (hyposoft, parasoft and ultrasoft) make root-3rd-P5 triads including 4:5:6, 6:7:9, 10:12:15, 10:13:15, 14:17:21, 14:18:21, 16:19:24, 18:22:27 and 18:23:27. The chroma-positive generator is a major third (or hemisixth), and the chroma-negative generator is a minor third (or hemifourth).

	Hypohard tuning makes root-4th-P5 triads including 6:8:9, 16:21:24 and 20:27:30. The chroma-positive generator is a fourth and the chroma-negative generator is a whole tone.		Hypohard tuning makes root-4th-P5 triads including 6:8:9, 16:21:24 and 20:27:30. The chroma-positive generator is a fourth and the chroma-negative generator is a whole tone.

Xenllium: Created page with "{{Infobox MOS | Equave = 3/2 | nLargeSteps = 1 | nSmallSteps = 1 | Equalized = 1 | Paucitonic = 1 | Pattern = Ls }} '''1L 1s<3/2>''' is a fifth-repeating MOS scale. The..."

2022-02-19T13:22:17Z

Created page with "{{Infobox MOS | Equave = 3/2 | nLargeSteps = 1 | nSmallSteps = 1 | Equalized = 1 | Paucitonic = 1 | Pattern = Ls }} '''1L 1s<3/2>''' is a fifth-repeating MOS scale. The..."

New page

{{Infobox MOS
| Equave = 3/2
| nLargeSteps = 1
| nSmallSteps = 1
| Equalized = 1
| Paucitonic = 1
| Pattern = Ls
}}

'''1L 1s<3/2>''' is a fifth-repeating MOS scale. The notation "<3/2>" means the period of the MOS is perfect fifth of [[3/2]], disambiguating it from octave-repeating [[1L 1s]].

This MOS scale makes root-3rd-P5 triads with pure perfect fifth (e.g. [[List of root-3rd-P5 triads in JI|4:5:6, 6:7:9, 10:12:15 and 14:18:21]]).

The chroma-positive generator is between 351 cents (square root of 3/2) and 702 cents (pure 3/2), which makes various major triads such as 4:5:6, 10:13:15 and 14:18:21.

== Tuning ranges ==
Soft tuning makes root-3rd-P5 triads including 4:5:6, 6:7:9, 10:12:15, 10:13:15, 14:17:21, 14:18:21, 16:19:24, 18:22:27 and 18:23:27. The chroma-positive generator is a major third (or hemisixth), and the chroma-negative generator is a minor third (or hemifourth).

Hypohard tuning makes root-4th-P5 triads including 6:8:9, 16:21:24 and 20:27:30. The chroma-positive generator is a fourth and the chroma-negative generator is a whole tone.

== Scale tree ==
Generator ranges:
* Chroma-positive generator: 350.9775 cents (1\2ed3/2) to 701.9550 cents (1\1ed3/2)
* Chroma-negative generator: 0 cents (0\1ed3/2) to 350.9775 cents (1\2ed3/2)

{| class="wikitable center-all"
! colspan="6" | Generator
! Cents
! L
! s
! L/s
! Comments
|-
| 1\2 || || || || || || 350.978 || 1 || 1 || 1.000 ||
|-
| || || || || || 6\11 || 382.885 || 6 || 5 || 1.200 || [[Carlos Beta]]
|-
| || || || || 5\9 || || 389.975 || 5 || 4 || 1.250 || [[Carlos Alpha]]
|-
| || || || || || 9\16 || 394.850 || 9 || 7 || 1.286 ||
|-
| || || || 4\7 || || || 401.117 || 4 || 3 || 1.333 || [[12edo]]-esque triad
|-
| || || || || || 11\19 || 406.395 || 11 || 8 || 1.375 ||
|-
| || || || || 7\12 || || 409.474 || 7 || 5 || 1.400 ||
|-
| || || || || || 10\17 || 412.915 || 10 || 7 || 1.429 ||
|-
| || || 3\5 || || || || 421.173 || 3 || 2 || 1.500 ||
|-
| || || || || || 11\18 || 428.973 || 11 || 7 || 1.571 ||
|-
| || || || || 8\13 || || 431.972 || 8 || 5 || 1.600 ||
|-
| || || || || || 13\21 || 434.544 || 13 || 8 || 1.625 || Unnamed golden tuning (433.8320¢)
|-
| || || || 5\8 || || || 438.722 || 5 || 3 || 1.667 ||
|-
| || || || || || 12\19 || 443.340 || 12 || 7 || 1.714 ||
|-
| || || || || 7\11 || || 446.699 || 7 || 4 || 1.750 ||
|-
| || || || || || 9\14 || 451.257 || 9 || 5 || 1.800 ||
|-
| || 2\3 || || || || || 467.970 || 2 || 1 || 2.000 || Gamelan tuning <br>(Basic 1L 1s<3/2>)
|-
| || || || || || 9\13 || 485.969 || 9 || 4 || 2.250 ||
|-
| || || || || 7\10 || || 491.369 || 7 || 3 || 2.333 ||
|-
| || || || || || 12\17 || 495.498 || 12 || 5 || 2.400 ||
|-
| || || || 5\7 || || || 501.396 || 5 || 2 || 2.500 ||
|-
| || || || || || 13\18 || 506.968 || 13 || 5 || 2.600 || Unnamed golden tuning (507.9394¢)
|-
| || || || || 8\11 || || 510.513 || 8 || 3 || 2.667 ||
|-
| || || || || || 11\15 || 514.767 || 11 || 4 || 2.750 ||
|-
| || || 3\4 || || || || 526.466 || 3 || 1 || 3.000 ||
|-
| || || || || || 10\13 || 539.965 || 10 || 3 || 3.333 ||
|-
| || || || || 7\9 || || 545.965 || 7 || 2 || 3.500 ||
|-
| || || || || || 11\14 || 551.536 || 11 || 3 || 3.667 ||
|-
| || || || 4\5 || || || 561.564 || 4 || 1 || 4.000 ||
|-
| || || || || || 9\11 || 574.327 || 9 || 2 || 4.500 ||
|-
| || || || || 5\6 || || 584.963 || 5 || 1 || 5.000 ||
|-
| || || || || || 6\7 || 601.676 || 6 || 1 || 6.000 ||
|-
| 1\1 || || || || || || 701.955 || 1 || 0 || → inf ||
|}

== See also ==
* [[List of root-3rd-P5 triads in JI]]

[[Category:Triad]]
[[Category:Abstract MOS patterns]]
[[Category:Nonoctave]]