7L 3s - Revision history

Furcht968 at 18:35, 3 April 2026

2026-04-03T18:35:16Z

← Older revision		Revision as of 18:35, 3 April 2026
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			{{Interwiki
			\|en=7L 3s
			\|es=
			\|de=
			\|ja=7L 3s
			}}
	{{Infobox MOS}}		{{Infobox MOS}}
	{{MOS intro\|Scale Signature=7L 3s}}		{{MOS intro\|Scale Signature=7L 3s}}

原井玉葱郎: /* Scale properties */ added proposed mode names

2025-10-06T22:53:42Z

Scale properties: added proposed mode names

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 === Modes ===
 {{MOS mode degrees}}
 == Theory ==

VectorGraphics at 02:35, 30 August 2025

2025-08-30T02:35:44Z

← Older revision		Revision as of 02:35, 30 August 2025
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	== Name ==		== Name ==
	{{TAMNAMS name}}		{{TAMNAMS name}} Additionally, "dicot" is also a [[ploidacot]] whose generator range reasonably covers the whole 7L 3s generator range.

	== Scale properties ==		== Scale properties ==

ArrowHead294 at 14:02, 5 May 2025

2025-05-05T14:02:41Z

← Older revision		Revision as of 14:02, 5 May 2025
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	== Scale properties ==		== Scale properties ==
	{{TAMNAMS use}}		{{TAMNAMS use}}
	{{MOS ~~data~~}}
			=== Intervals ===
			{{MOS intervals}}

			=== Generator chain ===
			{{MOS genchain}}

			=== Modes ===
			{{MOS mode degrees}}

	== Theory ==		== Theory ==

FloraC: /* Scale tree */ mohamaq isn't that accurate

2025-03-22T13:52:23Z

Scale tree: mohamaq isn't that accurate

← Older revision		Revision as of 13:52, 22 March 2025
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	\| 6/5 = [[Restles]] ↑		\| 6/5 = [[Restles]] ↑
	\| 7/5 = [[Beatles]]		\| 7/5 = [[Beatles]]
	\| 3/2 = [[~~Rastmic_clan#Suhajira \|~~ Suhajira]] / ringo		\| 3/2 = [[Suhajira]] / ringo
	\| 12/5 = [[Hemif]] / [[hemififths]]		\| 12/5 = [[Hemif]] / [[hemififths]]
	\| 5/2 = [[Mohaha]] / [[neutrominant]]		\| 5/2 = [[Mohaha]] / [[neutrominant]] / [[mohamaq]]
	\| 13/5 = [[Hemif]] / [[salsa]] / [[karadeniz]]		\| 13/5 = [[Hemif]] / [[salsa]] / [[karadeniz]]
	~~\| 8/3 = [[Mohaha]] / [[mohamaq]]~~
	\| 4/1 = [[Mohaha]] / [[migration]] / [[mohajira]]		\| 4/1 = [[Mohaha]] / [[migration]] / [[mohajira]]
	\| 6/1 = [[Mohaha]] / [[ptolemy]]		\| 6/1 = [[Mohaha]] / [[ptolemy]]

ArrowHead294 at 14:03, 3 March 2025

2025-03-03T14:03:04Z

← Older revision		Revision as of 14:03, 3 March 2025
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	* The '''perfect 7-mosstep''', the scale's bright generator, the inversion of the perfect 3-mosstep, whose range is around that of a neutral sixth.		* The '''perfect 7-mosstep''', the scale's bright generator, the inversion of the perfect 3-mosstep, whose range is around that of a neutral sixth.
	* The '''minor mosstep''', or '''small step''', which ranges form a [[quartertone]] to a minor second.		* The '''minor mosstep''', or '''small step''', which ranges form a [[quartertone]] to a minor second.
	* The '''major mosstep''', or '''large step''', which ranges from a submajor second to a [[sinaic]], or trienthird (around ~~128¢~~).		* The '''major mosstep''', or '''large step''', which ranges from a submajor second to a [[sinaic]], or trienthird (around 128{{c}}).
	* The '''major 4-mosstep''', whose range coincides with that of a perfect fourth.		* The '''major 4-mosstep''', whose range coincides with that of a perfect fourth.
	* The '''minor 6-mosstep''', the inversion of the major 4-mosstep, whose range coincides with that of a perfect 5th.		* The '''minor 6-mosstep''', the inversion of the major 4-mosstep, whose range coincides with that of a perfect 5th.

	=== Quartertone and tetrachordal analysis===		=== Quartertone and tetrachordal analysis===
	Due to the presence of [[quartertone]]-like intervals, [[Graham Breed]] has proposed the terms ''tone'' (abbreviated as ''t'') and ''quartertone'' (abbreviated as ''q'') as alternatives for large and small steps. This interpretation only makes sense for step ratios in which the small step approximates a quartertone. Additionally, Breed has also proposed a larger tone size, abbreviated using a capital ''T'', to refer to the combination of ''t'' and ''q''. Through this addition of a larger step, 7-note subsets of 7L 3s can be constructed. Some of these subsets are identical to that of 3L 4s, such as {{dash\|''T, t, T, t, T, t, t''}}, but Breed states that non-MOS patterns are possible, such as {{dash\|''T, t, t, T, t, t, T''}}.		Due to the presence of [[quartertone]]-like intervals, [[Graham Breed]] has proposed the terms ''tone'' (abbreviated as ''t'') and ''quartertone'' (abbreviated as ''q'') as alternatives for large and small steps. This interpretation only makes sense for step ratios in which the small step approximates a quartertone. Additionally, Breed has also proposed a larger tone size, abbreviated using a capital ''T'', to refer to the combination of ''t'' and ''q''. Through this addition of a larger step, 7-note subsets of 7L 3s can be constructed. Some of these subsets are identical to that of 3L 4s, such as {{dash\|''T, t, T, t, T, t, t''}}, but Breed states that non-MOS patterns are possible, such as {{dash\|''T, t, t, T, t, t, T''}}.

	Additionally, due to the presence of fourth and fifth-like intervals, 7L 3s can be analyzed as a [[tetrachord\|tetrachordal scale]]. Since the major 4-dicostep, the fourth-like interval, is reached using 4 steps rather than 3 (3 tones and 1 quartertone), Andrew Heathwaite offers an additional step ''A'', for ''augmented second'', to refer to the combination of two tones (''t''). Thus, the possible tetrachords can be built as a combination of a (large) tone and two (regular) tones ({{dash\|''T'', ''t'', ''t''}}), or an augmented step, small tone, and quartertone ({{dash\|''A'', ''t'', ''q''}}).		Additionally, due to the presence of fourth and fifth-like intervals, 7L 3s can be analyzed as a [[tetrachord\|tetrachordal scale]]. Since the major 4-dicostep, the fourth-like interval, is reached using 4 steps rather than 3 (3 tones and 1 quartertone), Andrew Heathwaite offers an additional step ''A'', for ''augmented second'', to refer to the combination of two tones (''t''). Thus, the possible tetrachords can be built as a combination of a (large) tone and two (regular) tones ({{dash\|''T'', ''t'', ''t''}}), or an augmented step, small tone, and quartertone ({{dash\|''A'', ''t'', ''q''}}).

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

ArrowHead294 at 14:02, 3 March 2025

2025-03-03T14:02:23Z

← Older revision		Revision as of 14:02, 3 March 2025
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	{{Infobox MOS}}		{{Infobox MOS}}
	{{MOS intro\|Scale Signature=7L 3s}}		{{MOS intro\|Scale Signature=7L 3s}}
	7L 3s represents [[temperament]]s such as [[mohajira]]/[[mohaha]]/[[mohoho]], among others, whose generators are around a neutral ~~3rd~~. The [[Mohaha7\|seven]] and [[Mohaha10\|ten-note]] forms of mohaha/mohoho form a [[Chromatic pairs#Mohaha\|chromatic pair]].		7L 3s represents [[temperament]]s such as [[mohajira]]/[[mohaha]]/[[mohoho]], among others, whose generators are around a neutral third. The [[Mohaha7\|seven]] and [[Mohaha10\|ten-note]] forms of mohaha/mohoho form a [[Chromatic pairs#Mohaha\|chromatic pair]].

	==Name==		== Name ==
	{{TAMNAMS name}}		{{TAMNAMS name}}

	== Scale properties ==		== Scale properties ==
			{{TAMNAMS use}}
	{{MOS data}}		{{MOS data}}

	==Theory==		== Theory ==

	=== Neutral intervals ===		=== Neutral intervals ===
	7L 3s combines the familiar sound of perfect fifths and fourths with the unfamiliar sounds of neutral intervals, thus making it compatible with [[Arabic, Turkish, Persian\|Arabic]] and [[Arabic, Turkish, Persian\|Turkish]] scales, but not with traditional Western scales. Notable intervals include:		7L 3s combines the familiar sound of perfect fifths and fourths with the unfamiliar sounds of neutral intervals, thus making it compatible with [[Arabic, Turkish, Persian\|Arabic]] and [[Arabic, Turkish, Persian\|Turkish]] scales, but not with traditional Western scales. Notable intervals include:
	*The '''perfect 3-mosstep''', the scale's dark generator, whose range is around that of a neutral third.		* The '''perfect 3-mosstep''', the scale's dark generator, whose range is around that of a neutral third.
	*The '''perfect 7-mosstep''', the scale's bright generator, the inversion of the perfect 3-mosstep, whose range is around that of a neutral sixth.		* The '''perfect 7-mosstep''', the scale's bright generator, the inversion of the perfect 3-mosstep, whose range is around that of a neutral sixth.
	*The '''minor mosstep''', or '''small step''', which ranges form a [[quartertone]] to a minor second.		* The '''minor mosstep''', or '''small step''', which ranges form a [[quartertone]] to a minor second.
	* The '''major mosstep''', or '''large step''', which ranges from a submajor second to a [[sinaic]], or trienthird (around 128¢).		* The '''major mosstep''', or '''large step''', which ranges from a submajor second to a [[sinaic]], or trienthird (around 128¢).
	*The '''major 4-mosstep''', whose range coincides with that of a perfect fourth.		* The '''major 4-mosstep''', whose range coincides with that of a perfect fourth.
	*The '''minor 6-mosstep''', the inversion of the major 4-mosstep, whose range coincides with that of a perfect 5th.		* The '''minor 6-mosstep''', the inversion of the major 4-mosstep, whose range coincides with that of a perfect 5th.

	=== Quartertone and tetrachordal analysis===		=== Quartertone and tetrachordal analysis===
	Due to the presence of [[quartertone]]-like intervals, [[Graham Breed]] has proposed the terms ''tone'' (abbreviated as ''t'') and ''quartertone'' (abbreviated as ''q'') as alternatives for large and small steps. This interpretation only makes sense for step ratios in which the small step approximates a quartertone. Additionally, Breed has also proposed a larger tone size, abbreviated using a capital ''T'', to refer to the combination of ''t'' and ''q''. Through this addition of a larger step, 7-note subsets of 7L 3s can be constructed. Some of these subsets are identical to that of 3L 4s, such as ''T-t-T-t-T-t-t'', but Breed states that non-MOS patterns are possible, such as ''T-t-t-T-t-t-T''.		Due to the presence of [[quartertone]]-like intervals, [[Graham Breed]] has proposed the terms ''tone'' (abbreviated as ''t'') and ''quartertone'' (abbreviated as ''q'') as alternatives for large and small steps. This interpretation only makes sense for step ratios in which the small step approximates a quartertone. Additionally, Breed has also proposed a larger tone size, abbreviated using a capital ''T'', to refer to the combination of ''t'' and ''q''. Through this addition of a larger step, 7-note subsets of 7L 3s can be constructed. Some of these subsets are identical to that of 3L 4s, such as {{dash\|''T, t, T, t, T, t, t''}}, but Breed states that non-MOS patterns are possible, such as {{dash\|''T, t, t, T, t, t, T''}}.

	Additionally, due to the presence of fourth and fifth-like intervals, 7L 3s can be analyzed as a [[tetrachord\|tetrachordal scale]]. Since the major 4-dicostep, the fourth-like interval, is reached using 4 steps rather than 3 (3 tones and 1 quartertone), Andrew Heathwaite offers an additional step ''A'', for ''augmented second'', to refer to the combination of two tones (''t''). Thus, the possible tetrachords can be built as a combination of a (large) tone and two (regular) tones (''T''-''t''-''t''), or an augmented step, small tone, and quartertone (''A''-''t''-''q'').		Additionally, due to the presence of fourth and fifth-like intervals, 7L 3s can be analyzed as a [[tetrachord\|tetrachordal scale]]. Since the major 4-dicostep, the fourth-like interval, is reached using 4 steps rather than 3 (3 tones and 1 quartertone), Andrew Heathwaite offers an additional step ''A'', for ''augmented second'', to refer to the combination of two tones (''t''). Thus, the possible tetrachords can be built as a combination of a (large) tone and two (regular) tones ({{dash\|''T'', ''t'', ''t''}}), or an augmented step, small tone, and quartertone ({{dash\|''A'', ''t'', ''q''}}).

	==Scale tree==		==Scale tree==
	{{~~Scale tree~~\|~~Comments=~~6/5: [[Restles]] ↑;		{{MOS tuning spectrum
	7/5: [[Beatles]];		\| 6/5 = [[Restles]] ↑
	3/2: [[Rastmic_clan#Suhajira \| Suhajira]] / ringo;		\| 7/5 = [[Beatles]]
	12/5: [[Hemif]] / [[hemififths]];		\| 3/2 = [[Rastmic_clan#Suhajira \| Suhajira]] / ringo
	5/2: [[Mohaha]] / [[neutrominant]];		\| 12/5 = [[Hemif]] / [[hemififths]]
	13/5: [[Hemif]] / [[salsa]] / [[karadeniz]];		\| 5/2 = [[Mohaha]] / [[neutrominant]]
	8/3: [[Mohaha]] / [[mohamaq]];		\| 13/5 = [[Hemif]] / [[salsa]] / [[karadeniz]]
	4/1: [[Mohaha]] / [[migration]] / [[mohajira]];		\| 8/3 = [[Mohaha]] / [[mohamaq]]
	6/1: [[Mohaha]] / [[ptolemy]];		\| 4/1 = [[Mohaha]] / [[migration]] / [[mohajira]]
	13/8: Golden [[suhajira]]}}		\| 6/1 = [[Mohaha]] / [[ptolemy]]
			\| 13/8 = Golden [[suhajira]]
			}}

	== External links==		== External links==
			* [http://x31eq.com/7plus3.htm Graham Breed's page on 7L 3s] (which covers 3L 7s to an extent)
	*[http://x31eq.com/7plus3.htm Graham Breed's page on 7L 3s] (which covers 3L 7s to an extent)

	[[Category:10-tone scales]]		[[Category:10-tone scales]]

BudjarnLambeth: Links

2024-12-24T05:23:47Z

Links

Ganaram inukshuk: Adopt templates

2024-08-29T01:22:49Z

Adopt templates

← Older revision		Revision as of 01:22, 29 August 2024
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	{{TAMNAMS name}}		{{TAMNAMS name}}

	==Scale properties==		== Scale properties ==
	{{~~TAMNAMS use~~}}		{{MOS data}}

	~~=== Intervals ===~~
	~~{{MOS intervals\|Scale Signature=7L 3s}}~~
	~~===Modes===~~
	~~{{MOS mode degrees}}~~
	==Theory==		==Theory==

Ganaram inukshuk at 23:54, 8 August 2024

2024-08-08T23:54:23Z

← Older revision		Revision as of 23:54, 8 August 2024
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	==Name==		==Name==
	TAMNAMS ~~suggests the temperament-agnostic~~ name ~~'''dicoid''' (from [[dicot]], an exotemperament) for the name of this scale.~~		{{TAMNAMS name}}

	==Scale properties==		==Scale properties==

← Older revision		Revision as of 05:23, 24 December 2024
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	{{Infobox MOS}}		{{Infobox MOS}}
	{{MOS intro\|Scale Signature=7L 3s}}		{{MOS intro\|Scale Signature=7L 3s}}
	7L 3s represents ~~temperaments~~ such as [[mohajira]]/[[mohaha]]/[[mohoho]], among others, whose generators are around a neutral 3rd. The [[Mohaha7\|seven]] and [[Mohaha10\|ten-note]] forms of mohaha/mohoho form a [[Chromatic pairs#Mohaha\|chromatic pair]].		7L 3s represents [[temperament]]s such as [[mohajira]]/[[mohaha]]/[[mohoho]], among others, whose generators are around a neutral 3rd. The [[Mohaha7\|seven]] and [[Mohaha10\|ten-note]] forms of mohaha/mohoho form a [[Chromatic pairs#Mohaha\|chromatic pair]].

	==Name==		==Name==
Line 12:		Line 12:

	=== Neutral intervals ===		=== Neutral intervals ===
	7L 3s combines the familiar sound of perfect fifths and fourths with the unfamiliar sounds of neutral intervals, thus making it compatible with Arabic and Turkish scales, but not with traditional Western scales. Notable intervals include:		7L 3s combines the familiar sound of perfect fifths and fourths with the unfamiliar sounds of neutral intervals, thus making it compatible with [[Arabic, Turkish, Persian\|Arabic]] and [[Arabic, Turkish, Persian\|Turkish]] scales, but not with traditional Western scales. Notable intervals include:
	*The '''perfect 3-mosstep''', the scale's dark generator, whose range is around that of a neutral third.		*The '''perfect 3-mosstep''', the scale's dark generator, whose range is around that of a neutral third.
	*The '''perfect 7-mosstep''', the scale's bright generator, the inversion of the perfect 3-mosstep, whose range is around that of a neutral sixth.		*The '''perfect 7-mosstep''', the scale's bright generator, the inversion of the perfect 3-mosstep, whose range is around that of a neutral sixth.
	*The '''minor mosstep''', or '''small step''', which ranges form a quartertone to a minor second.		*The '''minor mosstep''', or '''small step''', which ranges form a [[quartertone]] to a minor second.
	* The '''major mosstep''', or '''large step''', which ranges from a submajor second to a [[sinaic]], or trienthird (around 128¢).		* The '''major mosstep''', or '''large step''', which ranges from a submajor second to a [[sinaic]], or trienthird (around 128¢).
	*The '''major 4-mosstep''', whose range coincides with that of a perfect fourth.		*The '''major 4-mosstep''', whose range coincides with that of a perfect fourth.
Line 21:		Line 21:

	=== Quartertone and tetrachordal analysis===		=== Quartertone and tetrachordal analysis===
	Due to the presence of quartertone-like intervals, [[Graham Breed]] has proposed the terms ''tone'' (abbreviated as ''t'') and ''quartertone'' (abbreviated as ''q'') as alternatives for large and small steps. This interpretation only makes sense for step ratios in which the small step approximates a quartertone. Additionally, Breed has also proposed a larger tone size, abbreviated using a capital ''T'', to refer to the combination of ''t'' and ''q''. Through this addition of a larger step, 7-note subsets of 7L 3s can be constructed. Some of these subsets are identical to that of 3L 4s, such as ''T-t-T-t-T-t-t'', but Breed states that non-MOS patterns are possible, such as ''T-t-t-T-t-t-T''.		Due to the presence of [[quartertone]]-like intervals, [[Graham Breed]] has proposed the terms ''tone'' (abbreviated as ''t'') and ''quartertone'' (abbreviated as ''q'') as alternatives for large and small steps. This interpretation only makes sense for step ratios in which the small step approximates a quartertone. Additionally, Breed has also proposed a larger tone size, abbreviated using a capital ''T'', to refer to the combination of ''t'' and ''q''. Through this addition of a larger step, 7-note subsets of 7L 3s can be constructed. Some of these subsets are identical to that of 3L 4s, such as ''T-t-T-t-T-t-t'', but Breed states that non-MOS patterns are possible, such as ''T-t-t-T-t-t-T''.

	Additionally, due to the presence of fourth and fifth-like intervals, 7L 3s can be analyzed as a [[tetrachord\|tetrachordal scale]]. Since the major 4-dicostep, the fourth-like interval, is reached using 4 steps rather than 3 (3 tones and 1 quartertone), Andrew Heathwaite offers an additional step ''A'', for ''augmented second'', to refer to the combination of two tones (''t''). Thus, the possible tetrachords can be built as a combination of a (large) tone and two (regular) tones (''T''-''t''-''t''), or an augmented step, small tone, and quartertone (''A''-''t''-''q'').		Additionally, due to the presence of fourth and fifth-like intervals, 7L 3s can be analyzed as a [[tetrachord\|tetrachordal scale]]. Since the major 4-dicostep, the fourth-like interval, is reached using 4 steps rather than 3 (3 tones and 1 quartertone), Andrew Heathwaite offers an additional step ''A'', for ''augmented second'', to refer to the combination of two tones (''t''). Thus, the possible tetrachords can be built as a combination of a (large) tone and two (regular) tones (''T''-''t''-''t''), or an augmented step, small tone, and quartertone (''A''-''t''-''q'').

	==Scale tree==		==Scale tree==
	{{Scale tree\|Comments=6/5: [[Restles]] ↑;		{{Scale tree\|Comments=6/5: [[Restles]] ↑;