Generator ranges of MOS - Revision history

Xenllium at 12:48, 15 September 2025

2025-09-15T12:48:02Z

← Older revision		Revision as of 12:48, 15 September 2025
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	Below are ranges of generators for various L-s patterns of [[MOS scale]]s, with the number of steps in the scale from 2 to 29. The ranges are given in fractions of the interval of equivalence, which is normally an octave. The tables give the range of bright generators in the second column, normalized so that the lower end of the range is where L/s = 1 (Nedo). The third column gives the boundaries of propriety, maximum expressiveness and diatonicity (i.e. best, better and good behavior). Finally, the fourth column gives the formula for the size of the chroma. We have normalized to the formula for the step size where the leading term is positive.		Below are ranges of generators for various L-s patterns of [[MOS scale]]s, with the number of steps in the scale from 2 to 29. The ranges are given in fractions of the interval of equivalence, which is normally an octave. The tables give the range of bright generators in the second column, normalized so that the lower end of the range is where L/s = 1 (Nedo). The third column gives the boundaries of propriety, maximum expressiveness and diatonicity (i.e. best, better and good behavior). Finally, the fourth column gives the formula for the size of the chroma. We have normalized to the formula for the step size where the leading term is positive.

			[[File:Generator ranges of primitive MOS scales.png\|400px\|thumb\|right\|Ranges of generators for primitive MOS scales with the number of steps in the scale from 2 to 19]]

	== 2, 3, and 4-tone ==		== 2, 3, and 4-tone ==

Frostburn: /* 8-tone */ Denote 2L 6s as consisting of 2 periods.

2024-02-29T11:53:42Z

8-tone: Denote 2L 6s as consisting of 2 periods.

← Older revision		Revision as of 11:53, 29 February 2024
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	\| \| 7g-6-(1-g) = 8g-7		\| \| 7g-6-(1-g) = 8g-7
	\|-		\|-
	\| \| [[2L 6s]]		\| \| [[2L 6s\|''2L 6s'']] ''= 1L 3s (2)''
	\| \| 3\8 < g < 1\2		\| \| 3\8 < g < 1\2
	\| \| g = ''4\10'', 5\12, 6\14-7\16		\| \| g = ''4\10'', 5\12, 6\14-7\16

Xenllium at 11:40, 2 May 2023

2023-05-02T11:40:00Z

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Moremajorthanmajor: /* 24-tone */

2023-05-01T23:41:08Z

24-tone

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Moremajorthanmajor: /* 24-tone */

2023-05-01T04:11:58Z

24-tone

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BudjarnLambeth: Moved to theory category

2023-04-28T22:31:34Z

Moved to theory category

← Older revision		Revision as of 22:31, 28 April 2023
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	\|}		\|}

	[[Category:MOS ~~scales~~]]		[[Category:MOS scale]]
	[[Category:Lists of scales]]		[[Category:Lists of scales]]

Moremajorthanmajor: /* 24-tone */

2023-04-27T02:16:44Z

24-tone

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Moremajorthanmajor: /* 23-tone */

2023-04-26T01:27:49Z

23-tone

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Moremajorthanmajor: /* 22-tone */

2023-04-24T04:42:59Z

22-tone

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Moremajorthanmajor: /* 5-tone */

2023-04-20T03:51:43Z

5-tone

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← Older revision		Revision as of 11:53, 29 February 2024
Line 160:		Line 160:
	\| \| 7g-6-(1-g) = 8g-7		\| \| 7g-6-(1-g) = 8g-7
	\|-		\|-
	\| \| [[2L 6s]]		\| \| [[2L 6s\|''2L 6s'']] ''= 1L 3s (2)''
	\| \| 3\8 < g < 1\2		\| \| 3\8 < g < 1\2
	\| \| g = ''4\10'', 5\12, 6\14-7\16		\| \| g = ''4\10'', 5\12, 6\14-7\16